Publications

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.

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.

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

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. “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.

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.

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.

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.

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.

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.

Virgin, L. N. “A block rocking on a seesawing foundation.” Conference Proceedings of the Society for Experimental Mechanics Series 2 (January 1, 2011): 31–39. https://doi.org/10.1007/978-1-4419-9719-7_4.

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).