Publications

Bayly, P. V., and L. N. Virgin. “Practical considerations in the control of chaos.” Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 50, no. 1 (July 1994): 604–7. https://doi.org/10.1103/physreve.50.604.

Virgin, L. N., and B. K. Erickson. “A new approach to the overturning stability of floating structures.” Ocean Engineering 21, no. 1 (January 1, 1994): 67–80. https://doi.org/10.1016/0029-8018(94)90030-2.

Virgin, L. N., T. F. Walsh, and J. D. Knight. “Nonlinear behavior of a magnetic bearing system.” Proceedings of the ASME Turbo Expo 5 (January 1, 1994). https://doi.org/10.1115/94-GT-341.

BAYLY, P. V., L. N. VIRGIN, J. A. GOTTWALD, and E. H. DOWELL. “STABILITY MEASUREMENTS IN NONLINEAR MECHANICAL EXPERIMENTS GUIDED BY DYNAMICAL SYSTEMS THEORY.” In NONLINEARITY AND CHAOS IN ENGINEERING DYNAMICS, edited by J. M. T. Thompson and S. R. Bishop, 59–70. JOHN WILEY & SONS LTD, 1994.

MURPHY, K. D., L. N. VIRGIN, and S. A. RIZZI. “FREE VIBRATION OF THERMALLY LOADED PANELS INCLUDING INITIAL IMPERFECTIONS AND POST-BUCKLING EFFECTS.” In STRUCTURAL DYNAMICS: RECENT ADVANCES - PROCEEDINGS OF THE 5TH INTERNATIONAL CONFERENCE, VOLS I AND II, edited by N. S. Ferguson, H. F. Wolfe, and C. Mei, 401–11. INST SOUND VIBRATION RESEARCH, 1994.

Virgin, L. N., and K. D. Murphy. “On the behavior of characteristic multipliers through a period-doubling sequence.” Journal of Sound and Vibration 169, no. 5 (1994): 699–703. https://doi.org/10.1006/jsvi.1994.1042.

Murphy, K. D., P. V. Bayly, L. N. Virgin, and J. A. Gottwald. “Measuring the stability of periodic attractors using perturbation-induced transients: applications to two non-linear oscillators.” Journal of Sound and Vibration 172, no. 1 (1994): 85–102. https://doi.org/10.1006/jsvi.1994.1160.

Virgin, L. N., T. F. Walsh, and J. D. Knight. “Nonlinear behavior of a magnetic bearing system.” American Society of Mechanical Engineers (Paper), January 1, 1994, 1–7.

Virgin, L. N., and R. H. Plaut. “Effect Of Axial Load On Forced Vibrations Of Beams.” Journal of Sound and Vibration 168, no. 3 (December 22, 1993): 395–405. https://doi.org/10.1006/jsvi.1993.1382.

Bayly, P. V., and L. N. Virgin. “On the stability of forced radial oscillations of an experimental spring pendulum.” American Society of Mechanical Engineers, Design Engineering Division (Publication) DE 56 (December 1, 1993): 229–36.

Reynolds, R. R., E. H. Dowell, D. Tang, and L. N. Virgin. “Nonlinear behavior of low aspect ratio panels in subsonic flow: a preliminary study.” American Society of Mechanical Engineers, Aerospace Division (Publication) AD 33 (December 1, 1993): 9–12.

Reynolds, R. R., L. N. Virgin, and E. H. Dowell. “High-dimensional chaos can lead to weak turbulence.” Nonlinear Dynamics 4, no. 6 (December 1, 1993): 531–46. https://doi.org/10.1007/BF00162231.

Donescu, P., and L. N. Virgin. “Nonlinear coupled heave and roll oscillations of a ship in beam seas.” American Society of Mechanical Engineers, Dynamic Systems and Control Division (Publication) DSC 51 (December 1, 1993): 21–28.

“An empirical study of the stability of periodic motion in the forced spring-pendulum.” Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences 443, no. 1918 (November 8, 1993): 391–408. https://doi.org/10.1098/rspa.1993.0152.

Bayly, P. V., and L. N. Virgin. “An experimental study of an impacting pendulum.” Journal of Sound and Vibration 164, no. 2 (June 22, 1993): 364–74. https://doi.org/10.1006/jsvi.1993.1220.

Bayly, P. V., and L. N. Virgin. “On the stability of forced radial oscillations of an experimental spring pendulum.” In Proceedings of the ASME Design Engineering Technical Conference, Part F167972-5:229–36, 1993. https://doi.org/10.1115/DETC1993-0110.

Virgin, L. N. “Dynamic characteristics of deteriorating engineering structures.” Applied Mechanics Reviews 46, no. 5 (1993): 220–26.

Gottwald, J. A., L. N. Virgin, and E. H. Dowell. “Experimental mimicry of Duffing's equation.” Journal of Sound and Vibration 158, no. 3 (November 8, 1992): 447–67. https://doi.org/10.1016/0022-460X(92)90419-X.

Virgin, L. N., R. H. Plaut, and C. C. Cheng. “Prediction of escape from a potential well under harmonic excitation.” International Journal of Non-Linear Mechanics 27, no. 3 (January 1, 1992): 357–65. https://doi.org/10.1016/0020-7462(92)90005-R.

Bayly, P. V., and L. N. Virgin. “Experimental evidence of diffusive dynamics and `random walking' in a simple deterministic mechanical system: the shaken pendulum.” Int. J. Bifurcation Chaos Appl. Sci. Eng. (Singapore) 2, no. 4 (1992): 983–88.

Bayly, P. V., and L. N. Virgin. “Chaotic rattling of a piecewise nonlinear oscillator.” American Society of Mechanical Engineers (Paper), December 1, 1991, 1–6.

Virgin, L. N., and L. A. Cartee. “A note on the escape from a potential well.” International Journal of Non-Linear Mechanics 26, no. 3–4 (January 1, 1991): 449–52. https://doi.org/10.1016/0020-7462(91)90074-4.

Virgin, L. N., and S. R. Bishop. “Catchment Regions of Multiple Dynamic Responses in Nonlinear Problems of Offshore Mechanics.” Journal of Offshore Mechanics and Arctic Engineering 112, no. 2 (January 1, 1990): 127–33. https://doi.org/10.1115/1.2919846.

Dowell, E. H., and L. N. Virgin. “On spatial chaos, asymptotic modal analysis, and turbulence.” Journal of Applied Mechanics, Transactions ASME 57, no. 4 (January 1, 1990): 1094–97. https://doi.org/10.1115/1.2897637.

Plaut, R. H., and L. N. Virgin. “Use of frequency data to predict buckling.” Journal of Engineering Mechanics 116, no. 10 (January 1, 1990): 2330–35. https://doi.org/10.1061/(ASCE)0733-9399(1990)116:10(2330).