Publications

2013

Chandra, Y., I. Stanciulescu, L. N. Virgin, T. G. Eason, and S. M. Spottswood. “A numerical investigation of snap-through in a shallow arch-like model.” Journal of Sound and Vibration 332, no. 10 (January 22, 2013): 2532–48. https://doi.org/10.1016/j.jsv.2012.12.019.

Witelski, T., L. N. Virgin, and C. George. “A driven system of impacting pendulums: Experiments and simulations.” Journal of Sound and Vibration, 2013.

Wiebe, R., and L. N. Virgin. “A harmonic balance approximation of dynamic snap-through boundaries in a single-degree-of-freedom structure.” Proceedings of the ASME Design Engineering Technical Conference 7 B (January 1, 2013). https://doi.org/10.1115/DETC2013-12615.

2012

Olson, C. C., J. M. Nichols, and L. N. Virgin. “Parameter estimation for chaotic systems using a geometric approach: Theory and experiment.” Nonlinear Dynamics 70, no. 1 (October 1, 2012): 381–91. https://doi.org/10.1007/s11071-012-0461-8.

Lyman, T. C., L. N. Virgin, and R. B. Davis. “Application of continuation methods to nonlinear post-buckled structures.” Conference Proceedings of the Society for Experimental Mechanics Series 3 (June 6, 2012): 245–54. https://doi.org/10.1007/978-1-4614-2416-1_20.

Wagg, David, and Lawrence Virgin. Exploiting Nonlinear Behavior in Structural Dynamics. Springer, 2012.

Phungpaingam, B., L. N. Virgin, and S. Chucheepsakul. “Stability of spatial elastica in a gravitational field.” International Journal of Structural Stability and Dynamics 12, no. 2 (March 1, 2012): 403–21. https://doi.org/10.1142/S0219455412500101.

Wiebe, R., and L. N. Virgin. “A heuristic method for identifying chaos from frequency content.” Chaos (Woodbury, N.Y.) 22, no. 1 (March 2012): 013136. https://doi.org/10.1063/1.3675624.

Virgin, L., and D. Wagg. Preface. Vol. 536, 2012.

Virgin, L., and D. Wagg. “Introductory material.” In CISM International Centre for Mechanical Sciences, Courses and Lectures, 536:1–52, 2012. https://doi.org/10.1007/978-3-7091-1187-1_1.

Wiebe, R., L. N. Virgin, and T. P. Witelski. “A parametrically forced nonlinear system with reversible equilibria.” International Journal of Bifurcation and Chaos 22, no. 6 (January 1, 2012). https://doi.org/10.1142/S0218127412300200.

Virgin, L. “Vibration isolation.” In CISM International Centre for Mechanical Sciences, Courses and Lectures, 536:111–34, 2012. https://doi.org/10.1007/978-3-7091-1187-1_3.

2011

Wiebe, R., and L. N. Virgin. “On the identification of chaos from frequency content.” Proceedings of the ASME Design Engineering Technical Conference 4, no. PARTS A AND B (December 1, 2011): 823–28. https://doi.org/10.1115/DETC2011-47473.

Wiebe, R., L. N. Virgin, I. Stanciulescu, and S. M. Spottswood. “On snap-through buckling.” Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, December 1, 2011. https://doi.org/10.2514/6.2011-2083.

Gao, Lu, Mukarram A. Tahir, Lawrence N. Virgin, and Benjamin B. Yellen. “Multiplexing superparamagnetic beads driven by multi-frequency ratchets.” Lab on a Chip 11, no. 24 (December 2011): 4214–20. https://doi.org/10.1039/c1lc20683d.

Santillan, S. T., and L. N. Virgin. “Numerical and experimental analysis of the static behavior of highly deformed risers.” Ocean Engineering 38, no. 13 (September 1, 2011): 1397–1402. https://doi.org/10.1016/j.oceaneng.2011.06.009.

Tahir, Mukarram A., Lu Gao, Lawrence N. Virgin, and Benjamin B. Yellen. “Transport of superparamagnetic beads through a two-dimensional potential energy landscape.” Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics 84, no. 1 Pt 1 (July 2011): 011403. https://doi.org/10.1103/physreve.84.011403.

Srivastava, R., J. Panovsky, R. Kielb, L. Virgin, and K. Ekici. “Nonlinear flutter in fan stator vanes with time dependent fixity.” Journal of Turbomachinery 134, no. 2 (June 23, 2011). https://doi.org/10.1115/1.4003253.

Plaut, R. H., and L. N. Virgin. “Optimal design of cantilevered elastica for minimum tip deflection under self-weight.” Structural and Multidisciplinary Optimization 43, no. 5 (May 1, 2011): 657–64. https://doi.org/10.1007/s00158-010-0611-x.

Budd, C., A. Champneys, G. Lord, and L. Virgin. “Introduction to special issue on reflections in nonlinear mechanics.” IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications) 76, no. 1 (February 1, 2011): 1. https://doi.org/10.1093/imamat/hxq071.

Virgin, L. N., and T. C. Lyman. “Structural dynamics of a frame including axial load effects.” Conference Proceedings of the Society for Experimental Mechanics Series 4 (January 1, 2011): 119–24. https://doi.org/10.1007/978-1-4419-9831-6_14.

Phungpaingam, B., L. N. Virgin, and S. Chucheepsakul. “Stability of spatial elastica including weight effects.” International Journal of Structural Stability and Dynamics 11, no. 6 (2011).

Tahir, M. A., L. Guo, L. N. Virgin, and B. B. Yellen. “Transport of superparamagnetic beads through a two-dimensional potential energy landscape.” Physical Review E 84, no. 011403 (2011).

Srivastava, R., J. Panovsky, R. Kielb, L. N. Virgin, and K. Ekici. “Non-linear flutter in fan stator vanes with time dependent fixity.” ASME Journal of Turbomachinery 134, no. 021009 (2011).

Gao, L., M. A. Tahir, L. N. Virgin, and B. B. Yellen. “Multiplexing Superparamagnetic Beads Using Phase-Modulated Multi-Frequency Ratchets (Accepted).” Lab on a Chip, 2011.