Skip to main content

Lawrence N. Virgin

Professor in the Thomas Lord Department of Mechanical Engineering and Materials Science
Thomas Lord Department of Mechanical Engineering and Materials Science
3393 FCIEMAS Building, Box 90300, Durham, NC 27708
3393 FCIEMAS, Duke Box 90300, Durham, NC 27708

Scholarly Works - Conferences


Inferring unstable equilibrium configurations from observed dynamics

Conference Conference Proceedings of the Society for Experimental Mechanics Series · January 1, 2021 Unstable equilibria play an important organizing role in nonlinear dynamic systems in a global sense. However, it is difficult to measure them directly in a physical experiment. In this study, a digital image correlation (DIC) system is used to capture the ... Full text Cite

Force probing to access potential energy

Conference Conference Proceedings of the Society for Experimental Mechanics Series · January 1, 2021 Perhaps the two most common forms of potential energy are those associated with gravitational and elastic forces. In an experimental setting, if we can measure the force required to maintain equilibrium, then the extraction of potential energy is relativel ... Full text Cite

Curved structures that can elastically snap-through

Conference Conference Proceedings of the Society for Experimental Mechanics Series · January 1, 2019 Curved structures, such as beams, arches and panels are capable of exhibiting snap-through buckling behavior when loaded laterally. However, the propensity to maintain a stable snapped-through equilibrium position (in addition to the nominally unloaded equ ... Full text Cite

Predicting Critical Speeds in Rotordynamics: A New Method

Conference Journal of Physics Conference Series · October 3, 2016 In rotordynamics, it is often important to be able to predict critical speeds. The passage through resonance is generally difficult to model. Rotating shafts with a disk are analyzed in this study, and experiments are conducted with one and two disks on a ... Full text Cite

Inferring unstable equilibrium configurations from experimental data

Conference Journal of Physics Conference Series · October 3, 2016 This research considers the structural behavior of slender, mechanically buckled beams and panels of the type commonly found in aerospace structures. The specimens were deflected and then clamped in a rigid frame in order to exhibit snap-through. That is, ... Full text Cite

The effect of gravity on a slender loop structure

Conference Conference Proceedings of the Society for Experimental Mechanics Series · January 1, 2016 The deformation and vibration of vertical, highly flexible loops are investigated primarily from an experimental perspective. Both upright and hanging loops are considered with a small clamped length. The effects of self-weight on the loop static deformati ... Full text Cite

Experimental study of isolated response curves in a two-degree-of-freedom nonlinear system

Conference Conference Proceedings of the Society for Experimental Mechanics Series · January 1, 2016 In the present paper, the observation and characterization of isolated response curves (IRCs) are experimentally reported in the case of a nonlinear system consisting of two masses sliding on an horizontal guide. Transverse springs are attached to one mass ... Full text Cite

Isolated response curves in a base-excited, two-degree-of-freedom, nonlinear system

Conference Proceedings of the ASME Design Engineering Technical Conference · January 1, 2015 In the present paper, isolated response curves in a nonlinear system consisting of two masses sliding on a horizontal guide are examined. Transverse springs are attached to one mass to provide the nonlinear restoring force, and a harmonic motion of the com ... Full text Cite

Co-existing responses in a harmonically-excited nonlinear structural system

Conference Conference Proceedings of the Society for Experimental Mechanics Series · January 1, 2014 A key feature of many nonlinear dynamical systems is the presence of co-existing solutions, i.e, nonlinear systems are often sensitive to initial conditions. While there have been many studies to explore this behavior from a numerical perspective, in which ... Full text Cite

Some non-smooth dynamical systems in offshore mechanics

Conference Lecture Notes in Applied and Computational Mechanics · December 1, 2009 Full text Cite

Nonlinear two-dimensional elastica analysis of subsea risers

Conference 7th European Conference on Structural Dynamics Eurodyn 2008 · January 1, 2008 This paper models two configurations of 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 ... Cite

Development and application of chaotic attractor property analysis for vibration-based structural damage assessment

Conference Aip Conference Proceedings · August 19, 2003 Long-term, high-level performance demands on a variety of structures and equipment have stimulated significant research in the field of structural health monitoring. The primary goals of this field are to provide information regarding structural performanc ... Full text Cite

Detection of fastener preload loss in a hybrid composite-to-metal bolted joint

Conference Structural Health Monitoring 2003 from Diagnostics and Prognostics to Structural Health Management Proceedings of the 4th International Workshop on Structural Health Monitoring Iwshm 2003 · January 1, 2003 In this work we present two novel nonlinear time series analysis techniques-nonlinear cross prediction error and chaotic amplification of attractor distortion-for detecting preload loss in a hybrid metal-to-composite bolted joint. The two techniques involv ... Cite

STABILITY TRANSITIONS IN A NONLINEAR AIRFOIL

Conference Proceedings of the 5th Experimental Chaos Conference · April 2001 Full text Cite

Mode splitting in an inflated polyimide cylinder with circumferential asymmetry

Conference 19th AIAA Applied Aerodynamics 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 ... Full text Cite

Characterizing stability of responses in a nonlinear aeroelastic system

Conference 41st Structures Structural Dynamics and Materials Conference and Exhibit · 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 nonlinear-ity in the control surface st ... Full text Cite

Nonlinear features in the dynamics of an impact-friction oscillator

Conference STOCHASTIC AND CHAOTIC DYNAMICS IN THE LAKES · January 1, 2000 Link to item Cite

Nonlinear aeroelasticity of an airfoil with control surface freeplay

Conference 35th Aerospace Sciences Meeting and Exhibit · January 1, 1997 © 1997, American Institute of Aeronautics and Astronautics, Inc.This paper presents a correlation study between numerical and experimental results for the response of a typical section airfoil with freeplay in the control surface. Since this is an inherent ... Cite

Nonlinear aeroelasticity of an airfoil with control surface freeplay

Conference 35th Aerospace Sciences Meeting and Exhibit · January 1, 1997 This paper presents a correlation study between numerical and experimental results for the response of a typical section airfoil with freeplay in the control surface. Since this is an inherently nonlinear system the equations of motion are integrated numer ... Cite

MONITORING THE BEHAVIOR OF AN EXPERIMENTAL IMPACTING SYSTEM

Conference ASME International Mechanical Engineering Congress and Exposition Proceedings Imece · January 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 ... Full text Cite

An experimental study of the forced response of pre- And post-critical plates

Conference Proceedings of the ASME Design Engineering Technical Conference · January 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 ... Full text Cite

Experiments on a rocking block

Conference Proceedings of the ASME Design Engineering Technical Conference · January 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 ... Full text Cite

STABILITY MEASUREMENTS IN NONLINEAR MECHANICAL EXPERIMENTS GUIDED BY DYNAMICAL SYSTEMS THEORY

Conference NONLINEARITY AND CHAOS IN ENGINEERING DYNAMICS · January 1, 1994 Link to item Cite

FREE VIBRATION OF THERMALLY LOADED PANELS INCLUDING INITIAL IMPERFECTIONS AND POST-BUCKLING EFFECTS

Conference STRUCTURAL DYNAMICS: RECENT ADVANCES - PROCEEDINGS OF THE 5TH INTERNATIONAL CONFERENCE, VOLS I AND II · January 1, 1994 Link to item Cite

On the stability of forced radial oscillations of an experimental spring pendulum

Conference Proceedings of the ASME Design Engineering Technical Conference · January 1, 1993 The elastic pendulum is a 2-degree-of-freedom, nonlinear 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. Res ... Full text Cite