Publications

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.

2010

Srivastava, R., J. Panovsky, R. Kielb, L. Virgin, and K. Ekici. “Non-linear flutter in fan stator vanes with time dependent fixity.” Proceedings of the ASME Turbo Expo 6, no. PARTS A AND B (December 1, 2010): 1189–99. https://doi.org/10.1115/GT2010-22555.

Gao, Lu, Norman J. Gottron, Lawrence N. Virgin, and Benjamin B. Yellen. “The synchronization of superparamagnetic beads driven by a micro-magnetic ratchet.” Lab on a Chip 10, no. 16 (August 2010): 2108–14. https://doi.org/10.1039/c003836a.

Santillan, S. T., L. N. Virgin, and R. H. Plaut. “Static and dynamic behavior of highly deformed risers and pipelines.” Journal of Offshore Mechanics and Arctic Engineering 132, no. 2 (May 1, 2010): 1–6. https://doi.org/10.1115/1.4000555.

Virgin, L. N., T. C. Lyman, and R. B. Davis. “Nonlinear dynamics of a ball rolling on a surface.” American Journal of Physics 78, no. 3 (March 1, 2010): 250–57. https://doi.org/10.1119/1.3263169.

Plaut, R. H., and L. N. Virgin. “Vibrations and large postbuckling deflections of optimal pinned columns with elastic foundations.” Structural and Multidisciplinary Optimization 40, no. 1–6 (January 1, 2010): 157–64. https://doi.org/10.1007/s00158-008-0354-0.

Santillan, S. T., L. N. Virgin, and R. H. Plaut. “Dynamic behavior of highly-deformed risers and pipelines.” ASME Journal of Offshore Mechanics and Arctic Engineering 132 (2010): 021401.

2009

Plaut, R. H., and L. N. Virgin. “Vibration and snap-through of bent elastica strips subjected to end rotations.” Journal of Applied Mechanics, Transactions ASME 76, no. 4 (December 1, 2009): 1–7. https://doi.org/10.1115/1.3086783.

Virgin, L. N., and R. H. Plaut. “Some non-smooth dynamical systems in offshore mechanics.” In Lecture Notes in Applied and Computational Mechanics, 44:259–68, 2009. https://doi.org/10.1007/978-3-642-00629-6_26.

Virgin, L., and D. Holland. “Effect of weight on the experimental modal analysis of slender cantilever beams.” Proceedings of the ASME Design Engineering Technical Conference 1, no. PARTS A AND B (December 1, 2009): 557–60. https://doi.org/10.1115/DETC2009-86149.

Yellen, Benjamin B., and Lawrence N. Virgin. “Nonlinear dynamics of superparamagnetic beads in a traveling magnetic-field wave.” Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics 80, no. 1 Pt 1 (July 2009): 011402. https://doi.org/10.1103/physreve.80.011402.

Plaut, R. H., and L. N. Virgin. “Vibration and snap-through of bent elastica strips subjected to end rotations.” Journal of Applied Mechanics 76, no. 041011 (2009).

Yellen, B., and L. N. Virgin. “Non-linear dynamics of superparamagnetic beads in a traveling magnetic field wave.” Physical Review E 80, no. 011402 (2009).

2008

Santillan, S. T., R. H. Plaut, T. P. Witelski, and L. N. Virgin. “Large oscillations of beams and columns including self-weight.” International Journal of Non-Linear Mechanics 43, no. 8 (October 1, 2008): 761–71. https://doi.org/10.1016/j.ijnonlinmec.2008.04.007.

Virgin, L. N., S. T. Santillan, and R. H. Plaut. “Vibration isolation using extreme geometric nonlinearity.” Journal of Sound and Vibration 315, no. 3 (August 19, 2008): 721–31. https://doi.org/10.1016/j.jsv.2007.12.025.

Holland, D., and L. Virgin. “Experimental modal analysis of solar sail booms.” Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, July 4, 2008.

Virgin, L. N., E. H. Dowell, and G. Flowers. “Nonlinear Vibration,” April 8, 2008, 255–67. https://doi.org/10.1002/9780470209707.ch18.

Davis, R. B., L. N. Virgin, and A. M. Brown. “Cylindrical shell submerged in bounded acoustic media: A modal approach.” AIAA Journal 46, no. 3 (March 1, 2008): 752–63. https://doi.org/10.2514/1.31706.

Jeffers, A. E., R. H. Plaut, and L. N. Virgin. “Vibration isolation using buckled or pre-bent columns-Part 2: Three-dimensional motions of horizontal rigid plate.” Journal of Sound and Vibration 310, no. 1–2 (February 5, 2008): 421–32. https://doi.org/10.1016/j.jsv.2007.09.039.

Plaut, R. H., H. M. Favor, A. E. Jeffers, and L. N. Virgin. “Vibration isolation using buckled or pre-bent columns-Part 1: Two-dimensional motions of horizontal rigid bar.” Journal of Sound and Vibration 310, no. 1–2 (February 5, 2008): 409–20. https://doi.org/10.1016/j.jsv.2007.09.037.

Holland, D. B., L. N. Virgin, and R. H. Plaut. “Large deflections and vibration of a tapered cantilever pulled at its tip by a cable.” Journal of Sound and Vibration 310, no. 1–2 (February 5, 2008): 433–41. https://doi.org/10.1016/j.jsv.2007.06.075.

Santillan, S. T., L. N. Virgin, and R. H. Plaut. “Nonlinear two-dimensional elastica analysis of subsea risers.” In 7th European Conference on Structural Dynamics, EURODYN 2008, 2008.

2007

Santillan, S. T., L. N. Virgin, and R. H. Plaut. “Static and dynamic behavior of highly-deformed risers and pipelines.” Proceedings of the International Conference on Offshore Mechanics and Arctic Engineering - OMAE 3 (December 21, 2007): 143–49. https://doi.org/10.1115/OMAE2007-29180.

Virgin, L. N., and J. M. Nichols. “An experimental nonlinear oscillator subject to two-frequency excitation.” Conference Proceedings of the Society for Experimental Mechanics Series, December 1, 2007.

Davis, R. B., and L. N. Virgin. “Non-linear behavior in a discretely forced oscillator.” International Journal of Non-Linear Mechanics 42, no. 5 (June 1, 2007): 744–53. https://doi.org/10.1016/j.ijnonlinmec.2007.02.012.