Journal articleAIAA Journal · June 1, 2025
Given a constrained slender structure and subject to thermal loading, that is, relative to ambient conditions and any support structure, a reduction in stiffness not only leads to buckling, but also has a strong effect on the natural frequencies of the sys ...
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Journal articleInternational Journal of Non Linear Mechanics · November 1, 2024
A thin, post-buckled, circular plate is a classic exhibiter of bi-stability. That is, an elastic structural element that possesses more than a single (stable) equilibrium configuration. The key here is that the plate may be flat, or deflected in a given di ...
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Journal articleAerospace Science and Technology · September 1, 2024
Given the sensitivity of axially-loaded cylinder buckling to geometric imperfections, the advent of additive manufacturing provides a compelling platform to assess subtle changes in initial configuration from an experimental perspective. The cylindrical fo ...
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Journal articleMedical engineering & physics · January 2024
The buckling of a slender monofilament is a standard clinical method used to assess touch sensory perception, with specific applications to somatosensory impairment in patients after a stroke, detecting carpal tunnel syndrome, and as a prognosis tool for d ...
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Journal articleJournal of Applied Mechanics Transactions ASME · June 1, 2023
The results of an experimental study on the buckling of a vertically cantilevered plate under corner twisting forces are reported. In this configuration, an interesting and somewhat counter-intuitive behavior is observed in which a laterally loaded slender ...
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Journal articleEngineering Structures · April 1, 2023
It is well-established that beams of relatively narrow cross-section have a tendency to buckle laterally when loaded. This type of lateral–torsional instability, which has considerable practical importance in a variety of thin-walled structures, is a class ...
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Journal articlePhilosophical transactions. Series A, Mathematical, physical, and engineering sciences · April 2023
Cylinder buckling is notoriously sensitive to small geometric imperfections. This is an underlying motivation for the use of knock-down factors in the design process, especially in circumstances in which minimum weight is a key design goal, an approach wel ...
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Journal articleInternational Journal of Non Linear Mechanics · March 1, 2023
A bistable structural component possesses more than one stable equilibrium configuration. In terms of the strain energy stored in bending, this can be thought of as a system with not only an initial equilibrium configuration represented by an isolated mini ...
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Journal articleJournal of Engineering Mechanics · March 1, 2023
This paper considers the global configuration space of postbuckled structures. Initially, a slender buckled beam is considered. The boundary conditions are pinned at one end and fully fixed at the other. The pin-end of the initially flat beam is moved towa ...
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Journal articleInternational Journal of Mechanical Engineering Education · July 1, 2022
Locating the shear, or flexural, center of non-symmetric cross-sectional beams is a key element in the teaching of structural mechanics. That is, establishing the point on the plane of the cross-section where an applied load, generating a bending moment ab ...
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Journal articleJournal of Vibration and Acoustics · June 1, 2022
This paper presents a new approach to predicting an incipient critical speed in a rotating shaft. Based on the classical governing equations of motion for an eccentric mass on a flexible shaft (the Jeffcott rotor model), the approach is centered on examini ...
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Journal articleMechanical Systems and Signal Processing · February 1, 2022
It is well established that axial loads tend to influence lateral stiffness and hence natural frequencies of slender structural components. For very slender structures, the axial loading can be caused by self-weight (in a gravitational field), and these ef ...
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Journal articleMechanics Research Communications · September 1, 2021
This brief note examines the lumped dynamic modeling of two simple structural systems: 3D-printed cantilevers, and circular aluminum panels. In each case a set of stiffness and natural frequency measurements are made based on simple experiments, with a vie ...
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Journal articleJournal of Engineering Mechanics · May 1, 2021
This paper considers the case of a relatively large number of parallel columns that buckle simultaneously. The close proximity between columns results in the possibility of contact between adjacent columns as buckling proceeds, and this brings with it some ...
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Journal articleInternational Journal of Non Linear Mechanics · March 1, 2021
Folded cantilevers have been utilized in MEMS devices, particularly for suspension. The structures consist of a horizontal beam segment fixed at its left end, a short downward connector (joint) at the right end, and a lower horizontal segment under the upp ...
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Journal articleInternational Journal of Structural Stability and Dynamics · February 1, 2021
This paper considers the load-deflection behavior of a pyramid-like, shallow lattice structure. It consists of four beams that join at a central apex and when subject to a lateral load, it exhibits a propensity to snap-through: A classical buckling phenome ...
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Journal articleJournal of Applied Mechanics Transactions ASME · December 1, 2020
This paper describes a primarily experimental study in which a nonlinear structural component (a slender, mechanically buckled panel) is subject to probing. That is, equilibrium configurations are explored when a specific location on the panel is subject t ...
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Journal articleAmerican Journal of Physics · December 1, 2020
The teaching of structural stiffness is one of the keystones of the undergraduate curriculum in mechanics and the strength of materials. Standard linear theory, going back to Hooke's law, has proven to be very successful in predicting the performance of el ...
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Journal articleInternational Journal of Bifurcation and Chaos · July 1, 2020
The curse of dimensionality looms over many studies in science and engineering. Low-order systems provide conceptual clarity but often fail to reveal the extent of possible complexity, whereas high-order systems present a host of daunting challenges to the ...
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Journal articleIN: PROC. ASME SIXTH (1987) INT. OFFSHORE MECHANICS AND ARCTIC ENGINEERING SYMP., (HOUSTON, U.S.A.: MAR. 1-6, 1987) · January 1, 2020
This paper describes a combined numerical and geometric approach to study the dynamic behaviour of a moored semi-submersible based on solutions of the non-linear differential equation used to model the system. Complex features including competing steady st ...
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Journal articleInternational Journal of Bifurcation and Chaos · December 30, 2019
Nonlinear bifurcations and instabilities of autonomous nonconservative systems, mainly involving the fluid loading of a solid or structure, are reviewed and described in this accessible, pictorial overview. In contrast to the earlier papers in this series ...
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Journal articleJournal of Applied Mechanics Transactions ASME · October 1, 2019
A small ball resting on a curve in a gravitational field offers a simple and compelling example of potential energy. The force required to move the ball, or to maintain it in a given position on a slope, is the negative of the vector gradient of the potent ...
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Journal articleJournal of Marine Science and Technology Japan · September 13, 2019
This research revisits the analysis of roll motion and the possible capsize of floating vessels in beam seas. Many analytical investigations of this topic have adopted the softening Duffing equation, which is similar to the ship roll equation of motion. He ...
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Journal articleMechanical Systems and Signal Processing · September 1, 2019
This paper details a new method to estimate the location of unstable equilibria, specifically saddle-points, based on transient trajectories from experiments. We describe a system in which saddle-points (not easily observed in a direct sense)influence the ...
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Journal articleMeccanica · June 1, 2019
The pin-ended, slender, Euler strut has been used as the archetypal buckling problem for many years (Euler in Additamentum I de curvis elasticis, methodus inveniendi lineas curvas maximi minimivi proprietate gaudentes, Bousquet, Lausanne, 1744). Even thoug ...
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Journal articleJournal of Sound and Vibration · January 20, 2019
The suppression of expansion in thin clamped panels subjected to elevated thermal loading often results in buckling. However, a number of possible post-buckled equilibrium configurations typically exist, and which shape ensues depends on a number of factor ...
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Journal articleInternational Journal of Solids and Structures · December 15, 2018
This paper describes experiments and analysis of the complete post-buckling behavior of shallow geodesic lattice domes. Although individual members are straight, their geometric arrangement approximates a curved surface and typical behavior is highly nonli ...
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Journal articleInternational Journal of Mechanical Sciences · December 1, 2018
The equilibrium configuration of an engineering structure, able to withstand a certain loading condition, is usually associated with a local minimum of the underlying potential energy. However, in the nonlinear context, there may be other equilibria presen ...
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Journal articlePhysical Review E · November 15, 2018
A phase space boundary between transition and nontransition trajectories, similar to those observed in Hamiltonian systems with rank-1 saddles, is verified experimentally in a macroscopic system. We present a validation of the phase space flux across rank- ...
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Journal articleEngineering Structures · November 1, 2018
This is the third part in a trilogy of papers examining ways in which additive manufacturing can be used to facilitate the introduction of basic principles in structural analysis. Each paper uses 3D-printing and simple, but non-trivial, slender geometric f ...
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Journal articleStructures · November 1, 2018
This paper exploits the accuracy and versatility of additive manufacturing to display interesting buckling behavior in slender elastic columns. A set of parallel columns were printed to relatively high precision, and then subjected to axial loading. The lo ...
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Journal articleThin Walled Structures · November 1, 2018
Vertical circular rings and a system of three nested rings are tested and analyzed. The rings are clamped to a flat rigid base and are loaded vertically at the top by either a concentrated load or a rigid plate. The tests involve rings made by 3D printing. ...
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Journal articleInternational Journal of Bifurcation and Chaos · October 1, 2018
This paper reviews some examples of bifurcation in low-order, periodically driven dynamical systems. The generic loss of stability is a key component in dynamical systems theory, and provides a central pillar in assessing qualitative changes in system dyna ...
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Journal articleMechanical Systems and Signal Processing · August 1, 2018
Energy dissipation is often the most challenging component of system identification in the modeling of dynamical behavior in mechanical systems. Even for a relatively simple single-degree-of-freedom system such as the rigid-arm pendulum, it can be difficul ...
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Journal articleAmerican Journal of Physics · June 1, 2018
This short paper describes a useful teaching tool, ideal for demonstration purposes within the classroom or lab setting. It is based on the simple dynamic response of flexible cantilevers and evolves naturally from the underlying principles of a vibrating ...
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Journal articleJournal of Engineering Mechanics · February 1, 2018
It is well established that the lateral bending stiffness of thin panels is considerably enhanced by judicious use of ribs or stiffeners. This increase in stiffness is primarily due to a disproportionate increase in the second moment of area, and because r ...
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Journal articlePloS one · January 2018
The objective of the present paper is to provide experimental evidence of isolated resonances in the frequency response of nonlinear mechanical systems. More specifically, this work explores the presence of isolas, which are periodic solutions detached fro ...
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Journal articleNonlinear Dynamics · December 1, 2017
In dissipative dynamical systems, equilibrium (stationary) points have a dominant organizing effect on transient motion in phase space, especially in nonlinear systems. These time-independent solutions are readily defined in the context of ordinary differe ...
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Journal articleEngineering Structures · December 1, 2017
This paper provides a companion study to a previous paper by the same author (Virgin, 2017). In that paper, 3D printing was used to provide a hands-on experience for students of (linear) structural analysis based on the lateral stiffness of plane frames. I ...
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Journal articleEngineering Structures · November 1, 2017
Structural analysis forms a key component in many courses in civil, mechanical and aerospace engineering. Conventionally, the matrix stiffness method, a subset of finite element analysis, tends to occupy a central position in a typical syllabus, with a spe ...
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Journal articleProceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science · November 1, 2017
Rotating shafts often experience undesirable large-amplitude whirling oscillations associated with resonance at critical speeds. This paper further develops a nondestructive technique in which measured information about the growing nature of the response i ...
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Journal articleInternational Journal of Non Linear Mechanics · September 1, 2017
When the side of a beverage can or the domed lid of a jar is pushed inward, all or part of the structure may suddenly snap into an inverted configuration. The velocity of the pushing motion affects this instability. Most previous analyses of snap-through h ...
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Journal articleMechanics Research Communications · July 1, 2017
A uniform elastic cantilever is subjected to a uniformly distributed load or a concentrated load at its tip. The angle of the fixed end with the horizontal is varied until the maximum horizontal distance (projection) from the fixed end to the horizontal lo ...
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Journal articleInternational Journal of Non Linear Mechanics · June 1, 2017
Curved structures, such as beams, arches, and panels are capable of exhibiting snap-through buckling behavior when loaded laterally, that is they can exhibit multiple stable equilibria, sometimes after any external loading is removed. This is a consequence ...
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Journal articleInternational Journal of Mechanical Engineering Education · January 1, 2017
This paper describes the process of estimating Young's modulus for the thermoplastic material commonly used in a type of 3D printer. Its twin goals are to compare and contrast a number of simple techniques from elementary structural analysis and to assess ...
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Journal articleIN: PROC. ASME SIXTH (1987) INT. OFFSHORE MECHANICS AND ARCTIC ENGINEERING SYMP., (HOUSTON, U.S.A.: MAR. 1-6, 1987) · January 1, 2017
This paper describes a combined numerical and geometric approach to study the dynamic behaviour of a moored semi-submersible based on solutions of the non-linear differential equation used to model the system. Complex features including competing steady st ...
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Journal articleJournal of Sound and Vibration · September 29, 2016
A buckled beam with immovable pinned ends is considered. Attached to the beam are either one concentrated mass, two concentrated masses, a spring–mass system (that could model a human, robot, or passive vibration absorber), or a horizontal rigid bar with t ...
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Journal articleProceedings. Mathematical, physical, and engineering sciences · June 2016
This paper shows how the presence of unstable equilibrium configurations of elastic continua is reflected in the behaviour of transients induced by large perturbations. A beam that is axially loaded beyond its critical state typically exhibits two buckled ...
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Journal articleInternational Journal of Non Linear Mechanics · May 1, 2016
This paper focuses on thoroughly exploring the finite-time transient behaviors occurring in a periodically driven non-smooth dynamical system. Prior to settling down into a long-term behavior, such as a periodic forced oscillation, or a chaotic attractor, ...
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Journal articleJournal of Engineering for Gas Turbines and Power · February 1, 2016
The prediction of critical speeds of a rotating shaft is a crucial issue in a variety of industrial applications ranging from turbomachinery to disk storage systems. The modeling and analysis of rotordynamic systems is subject to a number of complications, ...
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Journal articlePhysica D Nonlinear Phenomena · December 1, 2015
This paper describes some typical behavior encountered in the response of a harmonically-excited mechanical system in which a severe nonlinearity occurs due to an impact. Although such systems have received considerable recent attention (most of it from a ...
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Journal articleInternational Journal of Applied Mechanics · August 11, 2015
This paper presents the snap-through phenomenon and effect of self-contact of the spatial elastica subjected to mid-length torque. One end of the elastica is clamped while the other end is placed in a sleeve joint. The total arc-length of the elastica can ...
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Journal articleExperimental Mechanics · July 5, 2015
For very slender structural components, self-weight may compete with elastic flexural stiffness in determining equilibrium configurations. In cases where the inherent elastic stiffness is low (relative to self-weight) we observe a variety of types of highl ...
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Journal articleJournal of theoretical biology · March 2015
Crassulacean acid metabolism (CAM) photosynthesis functions as an endogenous circadian rhythm coupled to external environmental forcings of energy and water availability. This paper explores the nonlinear dynamics of a new CAM photosynthesis model (Bartlet ...
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Journal articleInternational Journal of Solids and Structures · February 1, 2015
The equilibria and stability of a shallow prestressed arch (beam-column) are investigated theoretically and experimentally. The deflection of the arch is unilaterally constrained by a displacement-control device. Both snap-through and remote coexisting equ ...
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Journal articleNonlinear Dynamics · January 1, 2015
In this paper, we examine the potential for coexisting responses in a harmonically forced buckled beam. It is shown experimentally that such structures may present many more responses than might be observed using frequency sweep-up and sweep-down testing, ...
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Journal articleJournal of Sound and Vibration · March 17, 2014
This paper studies a system composed of two pendulums attached to a common base that is oscillated horizontally. The pendulums share a common pivot line, but move independently and are only coupled together through collisions. Impact dynamics for the colli ...
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Journal articleJournal of Applied Mechanics Transactions ASME · January 1, 2014
Continuation methods are used to examine the static and dynamic postbuckled behavior of a uniaxially loaded, simply supported plate. Continuation methods have been extensively used to study problems in mathematics and physics; however, they have not been a ...
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Journal articleInternational Journal of Non Linear Mechanics · January 1, 2014
It is well established that certain structural buckling problems are extremely sensitive to small changes in configuration: geometric imperfections, load application, symmetry, boundary conditions, etc. This paper considers the behavior of a very shallow a ...
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Journal articleInternational Journal of Bifurcation and Chaos · January 1, 2014
This short paper takes a close look at a relatively simple harmonically-excited mechanical oscillator. Throughout the range of forcing frequencies the basins of attraction are investigated by applying strong perturbations to steady-state behavior. In this ...
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Journal articleInternational Journal of Solids and Structures · January 1, 2014
The deformation and vibration of vertical flexible loops are investigated theoretically and experimentally. Both upright and hanging loops are considered. Potential applications include nanorings and carbon nanotubes as force sensors or structural componen ...
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Journal articleJournal of Sound and Vibration · October 28, 2013
Slender curved structures can often be found as components of complex structures in civil, mechanical, and aerospace systems. Under extreme loadings, a curved structure might undergo snap-through buckling, i.e., the structure is forced to its inverted conf ...
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Journal articleJournal of Sound and Vibration · August 5, 2013
Steady-state motions of a woman's ponytail during level, straight, walking and running are examined. Based on reported data, formulas have been developed for the relationship of the forward speed to the frequencies of vertical and sideways motion of the he ...
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Journal articlePhilosophical transactions. Series A, Mathematical, physical, and engineering sciences · June 2013
The effect of damping on the behaviour of oscillations in the vicinity of bifurcations of nonlinear dynamical systems is investigated. Here, our primary focus is single degree-of-freedom conservative systems to which a small linear viscous energy dissipati ...
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Journal articleJournal of Computational and Nonlinear Dynamics · January 30, 2013
Geometrically nonlinear structures often possess multiple equilibrium configurations. Under extreme conditions of excitation, it is possible for these structures to exhibit oscillations about and between these co-existing configurations. This behavior may ...
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Journal articleJournal of Sound and Vibration · January 22, 2013
Slender curved structures may experience a loss of stability called snap-through, causing the curvature on part or all of the structure to invert inducing fatigue damage. This paper presents a framework for analyzing the transient responses of slender curv ...
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Journal articleProceedings of the ASME Design Engineering Technical Conference · January 1, 2013
Under dynamic loading, systems with the requisite condition for snap-through buckling, that is co-existing equilibria, typically exhibit either small amplitude response about a single equilibrium configuration, or large amplitude response that transits bet ...
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Journal articleNonlinear Dynamics · October 1, 2012
A method for estimating model parameters based on chaotic system response data is described. This estimation problem is made challenging by sensitive dependence to initial conditions. The standard maximum likelihood estimation method is practically infeasi ...
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Journal articleConference Proceedings of the Society for Experimental Mechanics Series · June 6, 2012
Continuation and path following methods have been applied to many nonlinear problems in mathematics and physics. There is less widespread application of these methods, however, to structural systems. Since structural buckling and stability problems are pri ...
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Journal articleChaos (Woodbury, N.Y.) · March 2012
The sign of the largest Lyapunov exponent is the fundamental indicator of chaos in a dynamical system. However, although the extraction of Lyapunov exponents can be accomplished with (necessarily noisy) the experimental data, this is still a relatively dat ...
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Journal articleInternational Journal of Structural Stability and Dynamics · March 1, 2012
This paper considers the behavior of a spatial elastica in a gravitational field. The slenderness of the system considered is such that the weight becomes an important consideration in determining elastic equilibrium configurations. Both ends of the elasti ...
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Journal articleInternational Journal of Bifurcation and Chaos · January 1, 2012
A nonlinear Duffing-type dynamical system, in which the stability of equilibria is modulated in a time-dependent manner, is investigated both experimentally and numerically. This is a low-order dynamical system with some interesting available choices in th ...
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Journal articleLab on a chip · December 2011
Here, we explore the single particle dynamics of superparamagnetic beads exposed to multifrequency ratchets. Through a combination of theory, simulation, and experiment, we determine the important tuning parameters that can be used to implement multiplexed ...
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Journal articleProceedings of the ASME Design Engineering Technical Conference · December 1, 2011
The characterization of chaos as a random-like response from a deterministic dynamical system with an extreme sensitivity to initial conditions is well-established, and has provided a stimulus to research in nonlinear dynamical systems in general. In a for ...
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Journal articleCollection of Technical Papers AIAA ASME ASCE AHS ASC Structures Structural Dynamics and Materials Conference · December 1, 2011
Snap-through buckling can reduce the life-span of structural systems such as aircraft surface paneling. This is envisioned to be a specific problem in hypersonic vehicles in which severe thermal loading and acoustic excitation conspire to create an especia ...
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Journal articleOcean Engineering · September 1, 2011
This paper models a slender, flexible structure used as a drill string or riser in the offshore oil and gas industry that connects the well-head with a floating control vessel. These systems are used in deep-water drilling applications and present consider ...
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Journal articlePhysical review. E, Statistical, nonlinear, and soft matter physics · July 2011
The nonlinear dynamic behavior of superparamagnetic beads transported through a two-dimensional potential energy landscape is explored empirically and through numerical simulation. The beads are driven through a periodic array of micromagnets by an externa ...
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Journal articleJournal of Turbomachinery · June 23, 2011
A new mechanism for fan stator vane failure in turbofan engines at high speed and high loading has been identified and reported in this paper. Highly destructive vane failures have been encountered at Honeywell in a development fan with composite stator va ...
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Journal articleStructural and Multidisciplinary Optimization · May 1, 2011
The optimal distribution of material to minimize the vertical deflection of the free end of a horizontal cantilever is determined. The beam is only subjected to its own weight. Large deflections are considered, and the structure is modeled as an inextensib ...
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Journal articleConference Proceedings of the Society for Experimental Mechanics Series · January 1, 2011
Examples of vibro-impact mechanical and structural systems are not uncommon. Such systems are capable of exhibiting an interesting spectrum of non-smooth dynamic behavior when a characteristic changes abruptly. However, they present strong challenges to th ...
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Journal articleConference Proceedings of the Society for Experimental Mechanics Series · January 1, 2011
This paper considers the free vibration of a plane, rectangular, portal frame consisting of slender members. Natural frequencies and mode shapes are influenced by the addition of mass at the corners of the frame. The members are sufficiently slender that a ...
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Journal articleProceedings of the ASME Turbo Expo · December 1, 2010
A new mechanism for fan stator vane failure in turbofan engines at high speed and high loading has been identified and reported in this paper. Highly destructive vane failures have been encountered at Honeywell in one of the development fans with composite ...
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Journal articleLab on a chip · August 2010
We present theoretical, numerical, and experimental analyses on the non-linear dynamic behavior of superparamagnetic beads exposed to a periodic array of micro-magnets and an external rotating field. The agreement between theoretical and experimental resul ...
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Journal articleJournal of Offshore Mechanics and Arctic Engineering · May 1, 2010
This paper models flexible risers and pipelines as slender elastica structures. The theoretical formulation leads to a type of nonlinear boundary value problem that can be solved numerically given appropriate boundary conditions. The offsetting effects of ...
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Journal articleAmerican Journal of Physics · March 1, 2010
An underlying potential energy function can provide visual and intuitive insight into a system's stability and overall behavior. In particular, the motion of a ball moving along a curve or surface in a gravitational field provides a macroscale demonstratio ...
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Journal articleStructural and Multidisciplinary Optimization · January 1, 2010
The optimal distribution of material to maximize the critical load of columns has been studied extensively in the past, along with initial postbuckling behavior. Here, large postbuckling deflections are analyzed for optimal columns with pinned ends. Small ...
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Journal articleProceedings of the ASME Design Engineering Technical Conference · December 1, 2009
It is relatively well known that axial loads tend to influence lateral stiffness and hence natural frequencies of slender structural components. Tensile forces tend to increase the lateral stiffness and compressive forces tend to reduce lateral stiffness, ...
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Journal articleJournal of Applied Mechanics Transactions ASME · December 1, 2009
A flexible strip is rotated at its ends until it forms a deep circular arc above its ends. Then the ends are kept immovable and are rotated downward until the arch suddenly snaps into an inverted configuration. The strip is analyzed as an inextensible elas ...
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Journal articlePhysical review. E, Statistical, nonlinear, and soft matter physics · July 2009
The nonlinear dynamic behavior of superparamagnetic beads exposed to a periodic array of micromagnets and an external rotating field is simulated as a function of the relative size of the bead with respect to the micromagnet size and the strength of the ex ...
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Journal articleInternational Journal of Non Linear Mechanics · October 1, 2008
Large-amplitude, in-plane beam vibration is investigated using numerical simulations and a perturbation analysis applied to the dynamic elastica model. The governing non-linear boundary value problem is described in terms of the arclength, and the beam is ...
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Journal articleJournal of Sound and Vibration · August 19, 2008
A highly deformed, slender beam (or strip), attached to a vertically oscillating base, is used in a vibration isolation application to reduce the motion of a supported mass. The isolator is a thin strip that is bent so that the two ends are clamped togethe ...
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Journal articleCollection of Technical Papers AIAA ASME ASCE AHS ASC Structures Structural Dynamics and Materials Conference · July 4, 2008
This paper presents the results of experimental modal analysis of a system of two very slender cantilever beams connected by a rigid hub. The effect of gravity is examined together with the influence of an attached cable. Natural frequencies and mode shape ...
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Journal articleAIAA Journal · March 1, 2008
The dynamics of a simply supported cylindrical shell submerged in liquid hydrogen and liquid oxygen are considered. The shell itself is bounded by a rigid outer cylinder with closed rigid ends. This configuration gives rise to two fluid-filled cavities - a ...
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Journal articleJournal of Sound and Vibration · February 5, 2008
The use of buckled columns, or pairs of pre-bent columns bonded with a viscoelastic filler, as vibration isolators is analyzed. They support a horizontal rigid bar at its ends, and harmonic vertical motion is applied at the base of the isolators. The displ ...
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Journal articleJournal of Sound and Vibration · February 5, 2008
The behavior of a slender, tapered, cantilever beam loaded through a cable attached to its free end is described. Large static deflections are computed (based on an elastica description) together with natural frequencies and mode shapes for small-amplitude ...
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Journal articleJournal of Sound and Vibration · February 5, 2008
This is a continuation of previous work to investigate the use of pairs of pre-bent columns, bonded with a viscoelastic filler, as vibration isolators. In this paper, four of these devices support the corners of a square, rigid plate. When the system is in ...
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Journal articleProceedings of the International Conference on Offshore Mechanics and Arctic Engineering OMAE · December 21, 2007
This paper models flexible risers and pipelines as slender elastica structures. The theoretical formulation leads to a type of nonlinear boundary value problem that can be solved numerically given appropriate boundary conditions. The offsetting effects of ...
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Journal articleConference Proceedings of the Society for Experimental Mechanics Series · December 1, 2007
This paper describes some interesting nonlinear behavior in the response of an experimental mechanical oscillator. The focusis on the characterization of nonlinear response (subharmonic, quasiperiodic and chaotic) of a discrete mechanical oscillator subjec ...
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Journal articleInternational Journal of Non Linear Mechanics · June 1, 2007
The simulated and experimental responses of a rigid-arm pendulum driven by an external impactor are considered. Here, impact occurs if the trajectory of a rotating impactor intersects that of the pendulum. Using the rotation rate of the impactor as the con ...
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Journal articleMechanics Research Communications · April 1, 2007
The free vibration of a vertically-oriented, thin, prismatic cantilever is influenced by weight. That is, the natural frequencies (and to a lesser extent, mode shapes) are affected by the application of a linearly varying axial load. A beam with an "upward ...
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Journal articlePhilosophical transactions. Series A, Mathematical, physical, and engineering sciences · February 2007
This work first considers a review of the dominant current methods for fibre Bragg grating wavelength interrogation. These methods include WDM interferometry, tunable filter (both Fabry-Perot and acousto-optic) demultiplexing, CCD/prism technique and a new ...
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Journal articleJournal of Spacecraft and Rockets · January 1, 2007
Various aspects related to the numerical (finite element) analysis of the support structure for solar sails are analyzed. Static analyses of single booms (simple beam and isogrid configurations) are presented and dynamic properties are extracted before and ...
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Journal articleCollection of Technical Papers AIAA ASME ASCE AHS ASC Structures Structural Dynamics and Materials Conference · January 1, 2007
The dynamics of a simply-supported cylindrical shell submerged in liquid hydrogen (LH2) and liquid oxygen (LOX) are considered. The shell itself is bounded by a rigid outer cylinder with closed rigid ends. This configuration gives rise to two fl ...
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Journal articleJournal of Applied Mechanics Transactions ASME · July 1, 2006
A slender, straight beam resting on a flat, rigid foundation does not buckle when subjected to a compressive load, since the load cannot overcome the effect of the beam's weight. However, it buckles if its ends are moved toward each other. Post-buckling of ...
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Journal articleAIAA Journal · July 1, 2006
A thin cantilevered beam is compressed by a cable attached to the tip of the beam and terminating near the base. Large-deflection equilibrium configurations and small vibrations about equilibrium are investigated. This system has a direct application to so ...
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Journal articleInternational Journal of Solids and Structures · June 1, 2006
Various static and dynamic aspects of post-buckled thin plates, including the transition of buckled patterns, post-buckling dynamics, secondary bifurcation, and dynamic snapping (mode jumping phenomenon), are investigated systematically using asymptotical ...
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Journal articleInternational Journal of Solids and Structures · June 1, 2006
With the secondary bifurcation and the local post-secondary buckling behavior being analyzed in Part I, Part II of this study consists of developing an adaptive non-stationary load sweeping algorithm to investigate post-buckling dynamics and mode jumping p ...
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Journal articleJournal of Engineering Mechanics · 2006
Initial imperfections of columns are often assumed to have the shape of the first buckling mode. In this technical note, the imperfection has the shape of the second mode. An elastica analysis is performed, and numerical results are obtained for two cases ...
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Journal articleCollection of Technical Papers AIAA ASME ASCE AHS ASC Structures Structural Dynamics and Materials Conference · December 19, 2005
This paper studies the large-deflection static and dynamic characteristics of a slender prismatic cantilevered beam loaded by a cable attached at the tip and terminating near the base. This system has a direct application to square solar-sail structures wh ...
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Journal articleJournal of Sound and Vibration · November 22, 2005
A thin strip is bent such that the two ends are brought together and clamped (pinched) to form a teardrop shape. The clamped end is held at various angles with the loop either upright, horizontal, downward, or halfway between these positions. The length of ...
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Journal articleActa Mechanica Sinica Lixue Xuebao · August 1, 2005
This paper addresses the problem of Hopf-flip bifurcation of high dimensional maps. Using the center manifold theorem, we obtain a three dimensional reduced map through the projection technique. The reduced map is further transformed into its normal form w ...
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Journal articleJournal of Sound and Vibration · May 20, 2005
The use of a buckled or pre-bent column with fixed ends as a vibration isolator is analyzed. The column is designed to have a high axial stiffness under the weight that it supports, so that the static displacement of the weight is not excessive, and then t ...
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Journal articleJournal of Sound and Vibration · May 6, 2005
In this work, recent advances in the use of nonlinear time-series analysis for structural health monitoring are extended to incorporate multivariate data. Structural response data recorded at multiple locations are combined using a multivariate time delay ...
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Journal articleSolid Mechanics and Its Applications · January 1, 2005
Various devices have been used to reduce the dynamic response of mechanical and structural systems connected to moving sources. A vibration isolator can be inserted between a system and source to absorb energy and reduce the system's motion. The applicatio ...
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Journal articleJournal of Sound and Vibration · November 22, 2004
Both analytical and finite element investigations are performed for the various static and dynamic aspects of the mode jumping phenomenon of a simply-supported rectangular plate heated deeply into the post-buckling regime. For the analytical method, the vo ...
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Journal articleJournal of Sound and Vibration · August 23, 2004
An experiment and a corresponding simple model were constructed to explore whether modal analysis is an appropriate tool for detecting bolted joint degradation. For the study, a beam is bolted to supports at its edges, and the spring encase the bolts such ...
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Journal articleJournal of Nonlinear Science · August 1, 2004
Experimental results are presented for a single-degree-of-freedom horizontally excited pendulum that is allowed to impact with a rigid stop at a fixed angle θ to the vertical. By inclining the apparatus, the pendulum is allowed to swing in an effectively r ...
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Journal articleSmart Materials and Structures · April 1, 2004
This work explores the role of empirical dynamical models in deducing the level of preload loss in a bolted connection. Specifically, we examine the functional relationship between data gleaned from locations on either side of the connection using nonlinea ...
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Journal articleInternational Journal of Solids and Structures · January 1, 2004
The critical height for buckling of a linearly elastic cantilevered column due to its self-weight was determined by Greenhill in 1881. Postbuckling behavior also has been studied, often assuming that the column is an elastica (inextensible, with its bendin ...
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Journal articleInternational Journal of Solids and Structures · January 1, 2004
The stability and vibration characteristics of a flexible and inextensible half-loop are investigated. The loop is fixed at two base points, which are separated by a specified distance, and is only subjected to gravity loading. If the length of the loop is ...
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Journal article44th AIAA ASME ASCE AHS ASC Structures Structural Dynamics and Materials Conference · December 1, 2003
This paper presents a parameter study of the effect of boom axial loading on the global dynamics of a 2-meter solar sail scale model. The experimental model used is meant for building expertise in finite element analysis and experimental execution, not as ...
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Journal articleMeccanica · April 16, 2003
The field of vibration based structural health monitoring involves extracting a 'feature' which robustly quantifies damage induced changes to the structure in the presence of ambient variation, that is, changes in ambient temperature, varying moisture leve ...
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Journal articleJournal of Sound and Vibration · March 6, 2003
Post-buckled struts were used as spring components in a vibration isolation system. Vibration isolation is concerned with the minimization of the force or motion transmitted to a device from a source of vibration. The approach was shown to have promise in ...
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Journal articleMechanical Systems and Signal Processing · January 1, 2003
Recent works in the vibration-based structural health monitoring community have emphasised the use of correlation dimension as a discriminating statistic in separating a damaged from undamaged response. This paper explores the utility of attractor dimensio ...
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Journal articleInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering · January 1, 2003
A study was performed on the response spectrum map. A plot of frequency, or spectral, content versus a system parameter was a useful alternative to bifurcation diagrams in nonlinear dynamics. The spectrum map was based on the data taken from two experiment ...
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Journal articlePhysical review. E, Statistical, nonlinear, and soft matter physics · January 2003
This work explores the utility of attractor-based approaches in the field of vibration-based structural health monitoring. The technique utilizes the unique properties of chaotic signals by driving the structure directly with the output of a chaotic oscill ...
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Journal articleMechanical Systems and Signal Processing · January 1, 2003
We introduce a method by which the coefficient of viscous damping for a linear ndof system may be estimated. The technique utilises the unique properties of chaos by driving the system with the output of a non-linear oscillator. By tuning the Lyapunov expo ...
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Journal articleCollection of Technical Papers AIAA ASME ASCE AHS ASC Structures Structural Dynamics and Materials Conference · January 1, 2003
This paper presents a parameter study of the effect of boom axial loading on the global dynamics of a 2-meter solar sail scale model. The experimental model used is meant for building expertise in finite element analysis and experimental execution, not as ...
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Journal articlePhysical Review E Statistical Nonlinear and Soft Matter Physics · January 1, 2003
The utility of attractor based approaches in the field of vibration based structural health monitoring (SHM) was discussed. The technique utilized the properties of chaotic signals by driving the structure directly with the output of a chaotic oscillator. ...
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Journal articleProceedings of the Royal Society A Mathematical Physical and Engineering Sciences · September 8, 2002
The effects of a freeplay structural nonlinearity on an aeroelastic system are studied experimentally. Particular attention is paid to the stability of a periodic nonlinear aeroelastic response, known as limit-cycle oscillations (LCOs). The major thrust of ...
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Journal articleASME International Mechanical Engineering Congress and Exposition Proceedings · January 1, 2002
This work considers a new technique for damage detection in vibration-based structural health monitoring. The technique involves exciting a structure with a low-dimensional chaotic input, reconstructing the attractor, and analyzing certain properties of th ...
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Journal articleProceedings of SPIE the International Society for Optical Engineering · January 1, 2002
We have developed and tested a fiber optic system that relies on Fiber Bragg Gratings (FBGs) as strain gages for structural monitoring. FBGs reflect a narrow (< 0.2 nm) band of light whose center wavelength changes as the fiber is stretched or compressed. ...
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Journal articleCollection of Technical Papers AIAA ASME ASCE AHS ASC Structures Structural Dynamics and Materials Conference · January 1, 2002
Investigation of the geometric scaling properties of polyimide film inflatable booms is described. These structures have considerable potential for use in space with solar concentrators, solar sails, and space solar power systems including solar arrays. Mu ...
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Journal article19th AIAA Applied Aerodynamics Conference · December 1, 2001
In the past, a good deal of the research on the feasibility of inflatable structures for space applications has focused on the behavior of inflated cylinders. In many cases, especially in theoretical and numerical studies, the cylinder has been assumed to ...
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Journal articleJournal of Sound and Vibration · October 4, 2001
This paper seeks to illustrate the utility of the Lyapunov spectrum in estimating the damping of an experimental non-linear system. A mechanical model of Duffing's equation operating in the chaotic regime is used to generate a single observable. Using stan ...
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Journal articleSmart Materials and Structures · October 1, 2001
A novel feature extracted from a nonlinear time series is presented within the context of vibration-based damage detection in a system. An eight-degree-of-freedom spring-mass-damper 'structure' is considered with damage incurred by a stiffness degradation ...
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Journal articleNonlinear Dynamics · September 1, 2001
This paper presents results which characterize the chaotic response of a low-dimensional mechanical oscillator. An experimental system based on a cart rolling on a two-well potential surface has been shown to closely approximate a modified form of Duffing' ...
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Journal articleProceedings of SPIE the International Society for Optical Engineering · July 30, 2001
Recently proposed methodologies in the field of vibration-based structural health monitoring have focused on the incorporation of statistical-based analysis. The structure in question is dynamically excited, some feature is identified for extraction from a ...
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Journal articleInternational Journal for Numerical Methods in Engineering · June 10, 2001
In this work, a new comprehensive method has been developed which enables the solution of large, non-linear motions of rigid bodies in a fluid with a free surface. The application of the modern Eulerian-Lagrangian approach has been translated into an impli ...
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Journal articleCollection of Technical Papers AIAA ASME ASCE AHS ASC Structures Structural Dynamics and Materials Conference · January 1, 2001
In the past, a good deal of the research on the feasibility of inflatable structures for space applications has focused on the behavior of inflated cylinders. In many cases, especially in theoretical and numerical studies, the cylinder has been assumed to ...
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Journal articleJVC Journal of Vibration and Control · January 1, 2001
An earlier paper by the same authors examined the dynamic behavior of an impact-friction oscillator. It was shown that a variety of highly complex behavior was possible including chaos, and the results of numerical simulation were verified experimentally. ...
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Journal articleProceedings of the ASME Design Engineering Technical Conference · January 1, 2001
The short end of a rigid rectangular block with a 2:1 aspect ratio is placed on a flat horizontal surface. The surface exhibits a horizontal harmonic motion, and two-dimensional motions of the block are investigated numerically and experimentally. A variet ...
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Journal articleProceedings of the ASME Design Engineering Technical Conference · January 1, 2001
A small mass is suspended by two cables which are attached at angles to a rigid frame. The frame is shaken harmonically in the horizontal direction, causing the mass to respond typically in an erratic manner as the cables alternately become taut and slack. ...
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Journal articleProceedings of the International Modal Analysis Conference IMAC · January 1, 2001
Recent research in the broad scope of structural health monitoring has introduced a somewhat new paradigm within the context of vibration-based damage detection. The incorporation of statistical-based analysis has shown great promise in more accurately ass ...
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Journal article41st Structures, Structural Dynamics, and Materials Conference and Exhibit · December 1, 2000
A method for investigating the degree of stability of nonlinear limit cycle oscillations (LCO) observed in an aeroelastic system is presented. The system considered is a typical section airfoil model with a free-play nonlinear-ity in the control surface st ...
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Journal articleCollection of Technical Papers AIAA ASME ASCE AHS ASC Structures Structural Dynamics and Materials Conference · January 1, 2000
A method for investigating the degree of stability of nonlinear limit cycle oscillations (LCO) observed in an aeroelastic system is presented. The system considered is a typical section airfoil model with a free-play nonlinearity in the control surface sti ...
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Journal articlePhysica D Nonlinear Phenomena · June 1, 1999
This paper describes some interesting global dynamic behavior in the response of a double-sided, harmonically-forced, impact oscillator including the influence of Coulomb damping. The system under study is modeled as piecewise linear in both its force-defl ...
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Journal articleInternational Journal of Non Linear Mechanics · January 1, 1999
This paper describes some interesting transitional behavior in the limit cycle response of a typical section airfoil with a loosely connected flap subject to a fluid flow. The freeplay non-linearity associated with the flap connection has considerable prac ...
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Journal articlePhysica D: Nonlinear Phenomena · 1999
This paper describes some interesting global dynamic behavior in the response of a double-sided, harmonically-forced, impact oscillator including the influence of Coulomb damping. The system under study is modeled as piecewise linear in both its force-defl ...
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Journal articlePhysics Letters Section A General Atomic and Solid State Physics · November 9, 1998
The bottlenecking phenomenon near a saddle-node remnant or ghost is discussed for an electronic circuit modeling Duffing's equation. Numerical simulation and a useful experimental perturbation method, stochastic interrogation, are used to confirm the analy ...
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Journal articleJournal of Sound and Vibration · July 16, 1998
The paper presents a method of assessing the stability of high dimensional vibrating systems under state feedback control with a short time delay. It is first proved that if the time delay is sufficiently short, an n -degree-of-freedom system with feedback ...
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Journal articleJournal of Sound and Vibration · April 16, 1998
Non-smooth stiffness and damping characteristics are commonly encountered in mechanical systems. The specific physical contacts considered in this paper are impact and friction. Although these individual effects have been the subject of quite intensive res ...
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Journal articleInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering · January 1, 1998
This paper addresses two relatively simple but fundamental questions in nonlinear oscillations: Given an arbitrary initial condition where will the trajectory go, and how long will it take to get there? These related questions are addressed from an experim ...
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Journal articleInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering · 1998
This paper addresses two relatively simple but fundamental questions in nonlinear oscillations: Given an arbitrary initial condition where will the trajectory go, and how long will it take to get there? These related questions are addressed from an experim ...
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Journal articleNonlinear Dynamics · January 1, 1998
The paper presents analytical and numerical studies of the primary resonance and the 1/3 subharmonic resonance of a harmonically forced Duffing oscillator under state feedback control with a time delay. By using the method of multiple scales, the first ord ...
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Journal articleJournal of Fluids and Structures · January 1, 1998
A three-degree-of-freedom aeroelastic model with freeplay is modeled theoretically using a small number of aerodynamic eigenmodes (i.e. a reduced order model) based upon Peters' finite-state model for two-dimensional aerodynamic flow. The limit cycle behav ...
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Journal articleTrans. ASME. J. Vib. Acoust. (USA) · 1997
In a combined theoretical and experimental approach, the free vibration characteristics of a uniformly heated, fully clamped (out-of-plane), rectangular plate are considered. Specifically, this work focuses on the behavior of the small amplitude natural fr ...
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Journal articleInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering · January 1, 1997
This paper describes bifurcations and the basin boundary metamorphoses that give rise to post-fold outcome indeterminacy from a primarily experimental perspective. A gravity-loaded cart-and-track system is constrained to mimic the twin-well, single-degree- ...
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Journal articleEuropean Journal of Mechanics A Solids · January 1, 1997
This paper describes what happens when the base upon which a relatively slender rigid block rests is subjected to a horizontal harmonic acceleration. The force transmitted to the block may be sufficient to initiate rocking or even cause overturning. The nu ...
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Journal articleJournal of Fluids and Structures · January 1, 1997
A three degree-of-freedom aeroelastic typical section with control surface freeplay is modeled theoretically as a system of piecewise linear state-space models. The system response is determined by time marching of the governing equations using a standard ...
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Journal articlePhysical Review E Statistical Physics Plasmas Fluids and Related Interdisciplinary Topics · January 1, 1997
Monitoring all the state variables in dynamic experiments may be difficult or even impossible. It is also desirable to reduce the coupling between the system under study and the measuring device to as low a level as possible. To these ends, we investigated ...
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Journal articleJournal of Dynamic Systems Measurement and Control Transactions of the ASME · January 1, 1997
This work examines the periodic stopping motion present in the low-frequency response of a dry friction oscillator, excited harmonically through a base spring. Piecewise linear solution methods are used to compare two simple friction models, to consider th ...
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Journal articleChaos Solitons and Fractals · January 1, 1997
The present work considers the impacting behavior of a piecewise linear experimental system, a previous version of which has successfully displayed a wide variety of non-linear, including chaotic, behavior in other previous experiments [1-3]; making use of ...
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Journal articleAmerican Society of Mechanical Engineers Design Engineering Division Publication DE · December 1, 1996
Since monitoring all the state variables in dynamic experiments may be difficult or even impossible, and since it is desirable to reduce the coupling between the system under study and the measuring device to as low a level as possible, it is useful to ass ...
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Journal articleAmerican Society of Mechanical Engineers Fluids Engineering Division Publication FED · December 1, 1996
Free surface flows described by nonlinear equations due to nonlinear boundary conditions written for unknown boundary position are solved using a new implicit, fully consistent method. The proposed algorithm is tested for a couple of hydrodynamic free surf ...
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Journal articleJournal of Sound and Vibration · May 23, 1996
The periodic solutions of a non-linear oscillator with unsymmetric restoring force and harmonic excitation are studied by means of harmonic balance using an arbitrary number of modes in the assumed solution. Comparisons between the approximate solution for ...
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Journal articleExperimental Mechanics · 1996
This paper presents some recent experimental results on the dynamic snap-through behavior of a clamped, rectangular plate subject to thermal loading and intense acoustic excitation. The likelihood of snap-through oscillations is characterized in terms of b ...
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Journal articleJournal of Sound and Vibration · 1996
In this work the dynamic response is considered of a homogeneous, fully clamped rectangular plate subject to spatially uniform thermal loads and narrow-band acoustic excitation. In both the pre- and post-buckled regimes, the small amplitude, linear respons ...
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Journal articleChaos Solitons and Fractals · January 1, 1996
The motion of a slender rigid block with a flat or concave base resting on a rigid and flat foundation is analyzed. The block may be symmetric or asymmetric, and the foundation may be horizontal or tilted. The foundation oscillates harmonically for a finit ...
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Journal articleNonlinear Dynamics · January 1, 1996
This paper considers the resonant behavior of a mechanical oscillator during a linear frequency sweep. Both numerical and experimental results are presented. The experimental system consisting of a track in the shape of a potential energy surfaces has been ...
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Journal articleIMA Journal of Applied Mathematics Institute of Mathematics and Its Applications · January 1, 1996
This paper presents a systematic procedure to explicitly determine the algebraic equations arising from the method of harmonic balance with an arbitrary number of modes in the assumed solutions. The technique can be used for a wide variety of nonlinear osc ...
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Journal articleNonlinear Dynamics · January 1, 1996
Since locating all the fixed points of a nonlinear oscillator involves the numerical solution of simultaneous equations, it is useful to observe some of the global convergence characteristics of these techniques. Specifically, the popular Newton or quasi-N ...
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Journal articleAmerican Society of Mechanical Engineers Design Engineering Division Publication DE · December 1, 1995
A rigid, slender, rectangular block is an apparently simple example of a stability problem. In a static sense, the upright position remains stable providing the restoring moment due to gravity is sufficient to offset any applied overturning moment. Rotated ...
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Journal articleAmerican Society of Mechanical Engineers Design Engineering Division Publication DE · December 1, 1995
Experimental results are presented which characterize the dynamic response of homogeneous, fully clamped, rectangular plates to narrow band acoustic excitation and uniform thermal loads. Using time series, pseudo-phase projections, power spectra and auto-c ...
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Journal articleJournal of Sound and Vibration · October 19, 1995
Dynamical systems characterized by the possibility of escape from a local potential energy well occur in a great many physical problems, including a rigid-arm pendulum passing over its inverted equilibrium position, snap-through buckling in arch and shell ...
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Journal articleJ. Sound Vib. (UK) · 1995
Curve veering arises naturally in a wide variety of eigenvalue problems in structural mechanics, such as vibration of beams, rotors, plates and shells, and buckling of columns and plates. Previous work on curve veering is extended with the consideration of ...
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Journal articleTrans. ASME, J. Eng. Gas Turbines Power (USA) · 1995
This paper describes the results of a study into the dynamic behavior of a magnetic bearing system. The research focuses attention on the influence of nonlinearities on the forced response of a two-degree-of-freedom rotating mass suspended by magnetic bear ...
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Journal articleProceedings of Engineering Mechanics · January 1, 1995
Overturning conditions for a rigid, rectangular block on a rigid, horizontal, vibrating base are investigated. The base moves with a simple-harmonic horizontal acceleration over a finite period of time, and the block can rotate about either of its bottom c ...
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Journal articleAmerican Society of Mechanical Engineers Paper · January 1, 1994
This paper describes the results of a study into the dynamic behavior of a magnetic bearing system. The research focuses attention on the influence of nonlinearities on the forced response of a two-degree-of-freedom rotating mass suspended by magnetic bear ...
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Journal articleJournal of Sound and Vibration · 1994
Initial work along these lines by the present authors has focused attention on how these ideas can be used to infer and predict the loss of stability of an n = 1 solution. Here, the algorithm is applied through a series of period-doubling bifurcations, but ...
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Journal articleOcean Engineering · January 1, 1994
The increasingly widespread use of floating offshore production facilities has led to a need for a better understanding and accurate prediction of dynamic behavior. The approach described in this paper uses an approximate criterion for safe, forced, roll o ...
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Journal articleJournal of Sound and Vibration · 1994
In this paper a combined analytical, numerical and experimental approach is used to study the behavior of small, perturbation-induced transients superimposed on a periodic steady state. The behavior of these transients is monitored in terms of characterist ...
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Journal articleProceedings of the ASME Turbo Expo · January 1, 1994
This paper describes the results of a study into the dynamic behavior of a magnetic bearing system. The research focuses attention on the influence of nonlinearities on the forced response of a two-degree-of-freedom rotating mass suspended by magnetic bear ...
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Journal articleJournal of Sound and Vibration · December 22, 1993
The steady state linear response of beams subjected to a distributed, harmonically varying, transverse force is considered. A static axial load, either tensile or compressive, is also applied to the beam, and damping is included in the analysis. Four stand ...
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Journal articleAmerican Society of Mechanical Engineers Design Engineering Division Publication DE · December 1, 1993
The elastic pendulum is a 2-degree-of-freedom, non-linear device in which the pendulum bob may slide up and down the pendulum arm subject to the restoring force of a linear spring. In this study, radial motion (motion along the arm) is excited directly. Re ...
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Journal articleAmerican Society of Mechanical Engineers Aerospace Division Publication AD · December 1, 1993
We describe an experimental investigation into the nonlinear behavior of thin elastic panels in subsonic flow. Specially, an apparatus is detailed that supports a low aspect ratio panel by clamping it along the spanwise edges while leaving its leading and ...
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Journal articleNonlinear Dynamics · December 1, 1993
One of the outstanding unresolved questions of nonlinear dynamics is the relationship between chaos and turbulence. This is a deep and difficult question, not the least reason being that the definitions of "chaos" and "turbulence" are not universally agree ...
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Journal articleAmerican Society of Mechanical Engineers Dynamic Systems and Control Division Publication DSC · December 1, 1993
The coupled (heave and roll) oscillations of a ship in transverse sinusoidal waves are considered. Extensive simulation studies show that resonance conditions may lead to large amplitude roll angles with the possibility of capsize. In contrast to much of t ...
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Journal articleProceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences · November 8, 1993
AbstractThe elastic pendulum is a two-degree-of-freedom, nonlinear device in which the primary mass slides up and down the pendulum arm subject to the restoring force of a linear spring. In this study, ra ...
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Journal articleApplied Mechanics Reviews · 1993
The monitoring of energy production and distribution systems with a view to predicting their future performance and service life is a difficult but increasingly important exercise. Specific interest here concerns the behavior of aging offshore oil and gas ...
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Journal articleJournal of Sound and Vibration · November 8, 1992
Extensive analytical and numerical investigations have focused on Duffing's equation. However, experimental work, in a mechanics context, has been limited to studying systems the stiffness characteristics of which can be approximated by a non-linear (cubic ...
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Journal articleInt. J. Bifurcation Chaos Appl. Sci. Eng. (Singapore) · 1992
An experimental model of a simple pendulum, harmonically shaken, displays chaotic dynamics. Moreover, in strongly excited chaotic regimes the time series of total angular displacement, which is rarely examined, wanders unboundedly, displaying a power spect ...
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Journal articleInternational Journal of Non Linear Mechanics · January 1, 1992
Non-linear dynamical systems are considered which are conservative except for the presence of viscous damping. The systems are initially at rest in a potential well. Harmonic excitation is applied, and approximate conditions for escape from the potential w ...
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Journal articleAmerican Society of Mechanical Engineers Paper · December 1, 1991
Loosely connected sructures may rattle: free play due to design tolerances, wear, or manufacturing error causes drastic force discontinuities (impacts) in periodically driven mechanisms. Previous investigators have examined impact oscillators described by ...
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Journal articleInternational Journal of Non Linear Mechanics · January 1, 1991
This brief note compares analytical results pertaining to the escape from a potential well. The system studied is the classical Duffing's equation with positive linear and negative cubic stiffness terms, i.e. a softening spring characteristic. Under gradua ...
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Journal articleJournal of Offshore Mechanics and Arctic Engineering · January 1, 1990
Consideration of nonlinear effects in the dynamic analysis of offshore structures leads to complex phenomena even for relatively simple deterministic mathematical models. Nonlinearity in the stiffness or restoring force of a structure can be conveniently i ...
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Journal articleDynamics and Stability of Systems · January 1, 1989
An approach to studying the critical forcing parameters of an oscillator with a softening spring characteristic is developed. The harmonic response of the system is limited within a region of the phase plane, the boundary of which corresponds to a level of ...
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Journal articleDynamics and Stability of Systems · 1989
An approach to studying the critical forcing parameters of an oscillator with a softening spring characteristic is developed. The harmonic response of the system is limited within a region of the phase plane, the boundary of which corresponds to a level of ...
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Journal articleJournal of Sound and Vibration · October 8, 1988
The approximate fundamental response of a driven mechanical oscillator with a quadratic stiffness characteristic is studied by using the method of harmonic balance.The accuracy of the periodic solutions based on first approximation theory, and their stabil ...
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Journal articlePhysics Letters A · January 25, 1988
Classical static-dynamic analogies are invoked to demonstrate spatial chaos and localization of deformations in the elastica of a post-buckled strut. Some conjectures are then made relating homoclinic events in the dynamic analogy of a strut on a nonlinear ...
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Journal articleJournal of Offshore Mechanics and Arctic Engineering · January 1, 1988
This paper describes a combined numerical and geometric approach to study the dynamic behavior of a moored semi-submersible based on solutions of the nonlinear differential equation used to model the system. Complex features including competing steady stat ...
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Journal articleOcean Engineering · January 1, 1988
The motion of a moored semi-submersible is modelled using a semi-empirical nonlinear ordinary differential equation. Time domain simulations, guided by the qualitative theory of dynamical systems, illustrate the extremely complex nature of typical response ...
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Journal articleApplied Mathematical Modelling · January 1, 1988
A particular feature of nonlinear differential equations is that they may have competing steady-state solutions. This paper describes some multiple dynamic responses typically found when modelling nonlinear systems with particular reference to the catchmen ...
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Journal articleIn OMAE 1988 Houston Proc 7th Int Conf on Offshore Mechanics and Arctic Engineering Houston U S A Feb 7 12 1988 · January 1, 1988
This paper concentrates on the computation of the domains of attraction or catchment regions using numerical techniques based on Poincare mapping ideas. The three specific examples illustrated are the roll motion of a ship, the oscillations of an articulat ...
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Journal articleProceedings of the International Offshore Mechanics and Arctic Engineering Symposium · January 1, 1988
Consideration of nonlinear effects in the dynamic analysis of offshore structures leads to complex phenomena even for relatively simple deterministic mathematical models. Nonlinearity in the stiffness or restoring force of a structure can be conveniently i ...
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Journal articleProceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science · January 1, 1987
This brief study examines the relationship between the natural frequency of small oscillations and the length of vertical cantilever struts in a gravitational field. The analysis uses a Rayleigh approach and includes post-buckled equilibrium states and emp ...
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Journal articleIn Proc ASME Sixth 1987 Int Offshore Mechanics and Arctic Engineering Symp Houston U S A Mar 1 6 1987 · January 1, 1987
This paper describes a combined numerical and geometric approach to study the dynamic behaviour of a moored semi-submersible based on solutions of the non-linear differential equation used to model the system. Complex features including competing steady st ...
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Journal articleJournal of Offshore Mechanics and Arctic Engineering · January 1, 1987
When monitoring the wave-driven motions of a compliant offshore facility, be it an articulated mooring tower or a vessel, the engineer would like to be able to predict, in real time, any incipient jump to resonance that might be imminent due to the slowly ...
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Journal articleProceedings of the Institution of Mechanical Engineers. Part C. Mechanical engineering science · 1987
This brief study examines the relationship between the natural frequency of small oscillations and the length of vertical cantilever struts in a gravitational field. The analysis uses a Rayleigh approach and includes post-buckled equilibrium states and emp ...
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Journal articleApplied Ocean Research · January 1, 1987
The rolling motion of a ship has been successfully modelled using a semi-empirical nonlinear differential equation by a number of researchers. Experimental data has been used to model nonlinear damping and righting lever characteristics and comparison with ...
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Journal articleProceedings of the International Offshore Mechanics and Arctic Engineering Symposium · January 1, 1987
This paper describes a combined numerical and geometric approach to study the dynamic behaviour of a moored semi-submersible based on solutions of the nonlinear differential equation used to model the system. Complex features including competing steady-sta ...
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Journal articleJournal of Sound and Vibration · October 8, 1986
A brief study is presented of the dynamic behaviour of a system approaching a fold (also known in the literature as a limit point or saddle-node bifurcation). A study of the transient dynamics shows that it is possible to predict the incipient loss of stab ...
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Journal articleEngineering Structures · January 1, 1986
This paper examines the linear dynamics of axially compressed pin-ended 'perfect' inextensional struts. Relationships are established between the natural frequencies of small oscillations about any equilibrium configuration (unbuckled and postbuckled) and ...
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Journal articleInternational Journal of Non Linear Mechanics · January 1, 1986
In this paper it is shown how the transient frequencies can be used to predict an incipient jump to resonance of a lightly damped non-linear oscillator. The appropriate frequency ω can be determined from the rotation number of a Poincaré map, or measured d ...
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Journal articleInternational Journal of Mechanical Sciences · January 1, 1985
This work examines the relationship between natural frequency and compressive load for a conservative elastic mechanical system characterised by symmetric buckling. Application of some general theory shows that for a perfect system, exhibiting a stable-sym ...
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Journal articleIN: PROC. ASME SIXTH (1987) INT. OFFSHORE MECHANICS AND ARCTIC ENGINEERING SYMP., (HOUSTON, U.S.A.: MAR. 1-6, 1987)
This paper describes a combined numerical and geometric approach to study the dynamic behaviour of a moored semi-submersible based on solutions of the non-linear differential equation used to model the system. Complex features including competing steady st ...
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