Publications

2016

Wiebe, R., and L. N. Virgin. “On the experimental identification of unstable static equilibria.” Proceedings. Mathematical, Physical, and Engineering Sciences 472, no. 2190 (June 2016): 20160172. https://doi.org/10.1098/rspa.2016.0172.

George, C., L. N. Virgin, and T. Witelski. “Experimental study of regular and chaotic transients in a non-smooth system.” International Journal of Non-Linear Mechanics 81 (May 1, 2016): 55–64. https://doi.org/10.1016/j.ijnonlinmec.2015.12.006.

Virgin, L. N., J. D. Knight, and R. H. Plaut. “A New Method for Predicting Critical Speeds in Rotordynamics.” Journal of Engineering for Gas Turbines and Power 138, no. 2 (February 1, 2016). https://doi.org/10.1115/1.4031308.

Virgin, L. N., R. H. Plaut, and E. V. Cartee. “The effect of gravity on a slender loop structure.” In Conference Proceedings of the Society for Experimental Mechanics Series, 1:185–90, 2016. https://doi.org/10.1007/978-3-319-15221-9_16.

Detroux, T., J. P. Noël, G. Kerschen, and L. N. Virgin. “Experimental study of isolated response curves in a two-degree-of-freedom nonlinear system.” In Conference Proceedings of the Society for Experimental Mechanics Series, 1:229–35, 2016. https://doi.org/10.1007/978-3-319-29739-2_21.

2015

Virgin, L. N., C. George, and A. Kini. “Experiments on a non-smoothly-forced oscillator.” Physica D: Nonlinear Phenomena 313 (December 1, 2015): 1–10. https://doi.org/10.1016/j.physd.2015.09.002.

Phungpaingam, B., L. N. Virgin, and S. Chucheepsakul. “Snap-Through Phenomenon and Self-Contact of Spatial Elastica Subjected to Mid-Torque.” International Journal of Applied Mechanics 7, no. 4 (August 11, 2015). https://doi.org/10.1142/S175882511550057X.

Virgin, L. N., R. H. Plaut, and E. V. Cartee. “Adjacent Equilibria in Highly Flexible Upright Loop on Rigid Foundation.” Experimental Mechanics 55, no. 6 (July 5, 2015): 1191–97. https://doi.org/10.1007/s11340-015-0011-7.

Virgin, L. N. “Comment on "mechanical properties of suspended graphene sheets" [J. Vac. Sci. Technol., B 25, 2558 (2007)].” Journal of Vacuum Science and Technology B: Nanotechnology and Microelectronics 33, no. 2 (March 1, 2015). https://doi.org/10.1116/1.4914967.

Hartzell, Samantha, Mark S. Bartlett, Lawrence Virgin, and Amilcare Porporato. “Nonlinear dynamics of the CAM circadian rhythm in response to environmental forcing.” Journal of Theoretical Biology 368 (March 2015): 83–94. https://doi.org/10.1016/j.jtbi.2014.12.010.

Harvey, P. S., and L. N. Virgin. “Coexisting equilibria and stability of a shallow arch: Unilateral displacement-control experiments and theory.” International Journal of Solids and Structures 54 (February 1, 2015): 1–11. https://doi.org/10.1016/j.ijsolstr.2014.11.016.

Wiebe, R., L. N. Virgin, and S. M. Spottswood. “Stochastic interrogation of competing responses in a nonlinear distributed system.” Nonlinear Dynamics 79, no. 1 (January 1, 2015): 607–15. https://doi.org/10.1007/s11071-014-1689-2.

Nöel, J. P., T. Detroux, L. Masset, G. Kerschen, and L. N. Virgin. “Isolated response curves in a base-excited, two-degree-of-freedom, nonlinear system.” In Proceedings of the ASME Design Engineering Technical Conference, Vol. 6, 2015. https://doi.org/10.1115/DETC2015-46106.

2014

Witelski, T., L. N. Virgin, and C. George. “A driven system of impacting pendulums: Experiments and simulations.” Journal of Sound and Vibration 333, no. 6 (March 17, 2014): 1734–53. https://doi.org/10.1016/j.jsv.2013.11.004.

Plaut, R. H., and L. N. Virgin. “Deformation and vibration of upright loops on a foundation and of hanging loops.” International Journal of Solids and Structures, 2014.

Lyman, T. C., L. N. Virgin, and R. B. Davis. “Application of continuation methods to uniaxially loaded postbuckled plates.” Journal of Applied Mechanics, Transactions ASME 81, no. 3 (January 1, 2014). https://doi.org/10.1115/1.4024672.

Virgin, L. N., R. Wiebe, S. M. Spottswood, and T. G. Eason. “Sensitivity in the structural behavior of shallow arches.” International Journal of Non-Linear Mechanics 58 (January 1, 2014): 212–21. https://doi.org/10.1016/j.ijnonlinmec.2013.10.003.

Waite, J. J., L. N. Virgin, and R. Wiebe. “Competing responses in a discrete mechanical system.” International Journal of Bifurcation and Chaos 24, no. 1 (January 1, 2014). https://doi.org/10.1142/S0218127414300031.

Plaut, R. H., and L. N. Virgin. “Deformation and vibration of upright loops on a foundation and of hanging loops.” International Journal of Solids and Structures 51, no. 18 (January 1, 2014): 3067–75. https://doi.org/10.1016/j.ijsolstr.2014.05.003.

Virgin, L. N., J. J. Waite, and R. Wiebe. “Co-existing responses in a harmonically-excited nonlinear structural system.” In Conference Proceedings of the Society for Experimental Mechanics Series, 2:1–9, 2014. https://doi.org/10.1007/978-3-319-04522-1_1.

2013

Chandra, Y., R. Wiebe, I. Stanciulescu, L. N. Virgin, S. M. Spottswood, and T. G. Eason. “Characterizing dynamic transitions associated with snap-through of clamped shallow arches.” Journal of Sound and Vibration 332, no. 22 (October 28, 2013): 5837–55. https://doi.org/10.1016/j.jsv.2013.06.001.

Plaut, R. H., and L. N. Virgin. “Pendulum models of ponytail motion during walking and running.” Journal of Sound and Vibration 332, no. 16 (August 5, 2013): 3768–80. https://doi.org/10.1016/j.jsv.2013.02.016.

Virgin, L. N., and R. Wiebe. “On damping in the vicinity of critical points.” Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences 371, no. 1993 (June 2013): 20120426. https://doi.org/10.1098/rsta.2012.0426.

Hunt, Giles, and Lawrence Virgin. “Michael Thompson: some personal recollections.” Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences 371, no. 1993 (June 2013): 20120449. https://doi.org/10.1098/rsta.2012.0449.

Wiebe, R., L. N. Virgin, I. Stanciulescu, S. M. Spottswood, and T. G. Eason. “Characterizing dynamic transitions associated with snap-through: A discrete system.” Journal of Computational and Nonlinear Dynamics 8, no. 1 (January 30, 2013). https://doi.org/10.1115/1.4006201.