Scholars@Duke
Sophia Santillan

Sophia Santillan

Associate Professor of the Practice in the Thomas Lord Department of Mechanical Engineering and Materials Science
Thomas Lord Department of Mechanical Engineering and Materials Science
sophia.santillan@duke.edu
187 Hudson Hall, Box 90300, Durham, NC 27708-0302
187 Hudson Hall, Box 90300, Durham, NC 27708

Scholarly Works - Journal articles

Interrogating the Configuration Space of Postbuckled Beams

Journal article Journal 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 ... Full text Cite

Numerical and experimental analysis of the static behavior of highly deformed risers

Journal article Ocean 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 ... Full text Cite

Vibration response of an elastically point-supported plate with attached masses

Journal article Thin Walled Structures · July 1, 2010 Experimentally determined natural frequencies and modes shapes are presented for an elastically point-supported isotropic plate with attached masses under impulsive loading. These results are compared to frequencies and to modes shapes determined from the ... Full text Cite

Static and dynamic behavior of highly deformed risers and pipelines

Journal article Journal 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 ... Full text Cite

Large oscillations of beams and columns including self-weight

Journal article International 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 ... Full text Cite

Vibration isolation using extreme geometric nonlinearity

Journal article Journal 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 ... Full text Cite

Static and dynamic behavior of highly-deformed risers and pipelines

Journal article Proceedings 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 ... Full text Cite

Effect of gravity on the vibration of vertical cantilevers

Journal article Mechanics 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 ... Full text Cite

Post-buckling and vibration of heavy beam on horizontal or inclined rigid foundation

Journal article Journal 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 ... Full text Cite

Equilibria and vibration of a heavy pinched loop

Journal article Journal 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 ... Full text Cite