Lawrence N. Virgin

Thomas Lord Department of Mechanical Engineering and Materials Science

Director of Graduate Studies, Professor in the Thomas Lord Department of MEMS

Lawrence N. Virgin Profile Photo

Research Themes

Aerodynamics & Aeroelasticity, Robotics & Autonomy

Education

B.S. University of Manchester (United Kingdom), 1981
M.S. Cardiff University (United Kingdom), 1982
Ph.D. University of London (United Kingdom), 1986

Positions

Professor in the Thomas Lord Department of Mechanical Engineering and Materials Science
Director of Graduate Studies

Awards, Honors, and Distinctions

Fellow. American Society of Mechanical Engineers. 2023
Frocht Award. Society for Experimental Mechanics. 2016
International Gas Turbine Institute's (IGTI) J. P. Davis Award. American Society of Mechanical Engineers. 2012

Courses Taught

ME 592: Research Independent Study in Mechanical Engineering or Material Science
ME 591: Research Independent Study in Mechanical Engineering or Material Science
ME 555: Advanced Topics in Mechanical Engineering
ME 544: Advanced Mechanical Vibrations
ME 527: Buckling of Engineering Structures
ME 494: Engineering Undergraduate Fellows Projects
ME 493: Engineering Undergraduate Fellows Projects
ME 491: Special Projects in Mechanical Engineering
ME 490: Special Topics in Mechanical Engineering
ME 473: Aerospace Structures
ME 392: Undergraduate Projects in Mechanical Engineering
ME 391: Undergraduate Projects in Mechanical Engineering
EGR 393: Research Projects in Engineering
CEE 647: Buckling of Engineering Structures

Publications

Virgin LN, Spottswood SM, Perez R, Cervi C. Experimental probing of the configuration space of circular, clamped panels (Accepted). International Journal of Non-Linear Mechanics. 2024 Nov 1;166.
Cervi C, Virgin LN. An experimental parametric study assessing the effect of a certain initial geometric imperfection on cylinder buckling. Aerospace Science and Technology. 2024 Sep 1;152.
Virgin LN. On the mechanics of monofilaments used in touch sensory perception. Medical engineering & physics. 2024 Jan;123:104083.
Gibson OS, Knotek C, Virgin L, Dowell E. Buckling of a Vertically Mounted Cantilevered Plate Under Static Torsional Corner Loads—Experiment and Theory. Journal of Applied Mechanics, Transactions ASME. 2023 Jun 1;90(6).
Virgin LN, Harvey PS. A lateral–torsional buckling demonstration model using 3D printing. Engineering Structures. 2023 Apr 1;280.
Cooley SA, Yang H, Virgin LN. 3D-printing and cylinder buckling: challenges and opportunities. Philosophical transactions Series A, Mathematical, physical, and engineering sciences. 2023 Apr;381(2244):20220035.
Cervi C, Santillan ST, Virgin LN. Interrogating the Configuration Space of Postbuckled Beams. Journal of Engineering Mechanics. 2023 Mar 1;149(3).
Virgin LN. On the elastic snapping of structural elements. International Journal of Non-Linear Mechanics. 2023 Mar 1;149.
Virgin LN. A shear center demonstration model using 3D-printing. International Journal of Mechanical Engineering Education. 2022 Jul 1;50(3):739–48.
Virgin LN. Interrogating the Lead-Up to a Critical Speed in Rotordynamics. Journal of Vibration and Acoustics. 2022 Jun 1;144(3).
Virgin LN, Holland DB. Experiments on the symmetry-breaking effect of orientation on a pair of connected cantilevers. Mechanical Systems and Signal Processing. 2022 Feb 1;164.
Virgin LN. A note on lumped parameter modeling. Mechanics Research Communications. 2021 Sep 1;116.
Virgin L. Simultaneous buckling, contact, and load-carrying capacity. Journal of Engineering Mechanics. 2021 May 1;147(5).
Virgin LN, Plaut RH. Large deflections of folded cantilever: Experiments and elastica analysis. International Journal of Non-Linear Mechanics. 2021 Mar 1;129.
Guan Y, Virgin LN. A Pyramidal Lattice Frame: Pathways to Inversion. International Journal of Structural Stability and Dynamics. 2021 Feb 1;21(2).
Xu Y, Virgin LN, Wiebe R. Inferring unstable equilibrium configurations from observed dynamics. In: Conference Proceedings of the Society for Experimental Mechanics Series. 2021. p. 199–201.
Xu Y, Virgin LN. Force probing to access potential energy. In: Conference Proceedings of the Society for Experimental Mechanics Series. 2021. p. 55–7.
Virgin LN. Comparative structural stiffness: Exploiting 3D-printing. American Journal of Physics. 2020 Dec 1;88(12):1049–58.
Ehrhardt D, Virgin LN, Spottswood SM. Experiments on probing the configuration space of post-buckled panels. Journal of Applied Mechanics, Transactions ASME. 2020 Dec 1;87(12).
Guan Y, Virgin LN. Stability and Bifurcation in Discrete Mechanical Systems: An Experimental and Analytical Study. International Journal of Bifurcation and Chaos. 2020 Jul 1;30(9).
Bishop SR, Virgin LN. The onset of chaotic motions of a moored semi-submersible. IN: PROC ASME SIXTH (1987) INT OFFSHORE MECHANICS AND ARCTIC ENGINEERING SYMP, (HOUSTON, USA: MAR 1-6, 1987). 2020 Jan 1;II, J.S. Chung; S. Berg; S.K. Chakrabarti; S.R. Montgomery (eds.), New York, U.S.A., Am. Soc. Mech.
Thompson JMT, Virgin LN. Instabilities of nonconservative fluid-loaded systems. International Journal of Bifurcation and Chaos. 2019 Dec 30;29(14).
Xu Y, Virgin LN. Probing the force field to identify potential energy. Journal of Applied Mechanics, Transactions ASME. 2019 Oct 1;86(10).
Maki A, Virgin LN, Umeda N, Ueta T, Miino Y, Sakai M, et al. On the loss of stability of periodic oscillations and its relevance to ship capsize. Journal of Marine Science and Technology (Japan). 2019 Sep 13;24(3):846–54.
Xu Y, Virgin LN, Ross SD. On experimentally locating saddle-points on a potential energy surface from observed dynamics. Mechanical Systems and Signal Processing. 2019 Sep 1;130:152–63.
Harvey PS, Virgin LN, Tehrani MH. Buckling of elastic columns with second-mode imperfections. Meccanica. 2019 Jun 1;54(8):1245–55.
Ehrhardt DA, Virgin LN. Experiments on the thermal post-buckling of panels, including localized heating. Journal of Sound and Vibration. 2019 Jan 20;439:300–9.
Virgin LN, Susan Guan Y, Plaut RH. Curved structures that can elastically snap-through. In: Conference Proceedings of the Society for Experimental Mechanics Series. 2019. p. 275–7.
Virgin LN. Introduction to experimental nonlinear dynamics: A case study in mechanical vibration. 2019.
Guan Y, Virgin LN, Helm D. Structural behavior of shallow geodesic lattice domes. International Journal of Solids and Structures. 2018 Dec 15;155:225–39.
Zhong J, Virgin LN, Ross SD. A tube dynamics perspective governing stability transitions: An example based on snap-through buckling. International Journal of Mechanical Sciences. 2018 Dec 1;149:413–28.
Ross SD, Bozorgmagham AE, Naik S, Virgin LN. Experimental validation of phase space conduits of transition between potential wells. Physical Review E. 2018 Nov 15;98(5).
Virgin LN. Enhancing the teaching of elastic buckling using additive manufacturing. Engineering Structures. 2018 Nov 1;174:338–45.
Virgin L. Tailored Buckling Constrained by Adjacent Members. Structures. 2018 Nov 1;16:20–6.
Virgin LN, Giliberto JV, Plaut RH. Deformation and vibration of compressed, nested, elastic rings on rigid base. Thin-Walled Structures. 2018 Nov 1;132:167–75.
Virgin LN, Thompson JMT. Applications of Bifurcation: Nonautonomous Periodically-Excited Systems. International Journal of Bifurcation and Chaos. 2018 Oct 1;28(11).
Brzeski P, Virgin LN. System identification of energy dissipation in a mechanical model undergoing high velocities: An indirect use of perpetual points. Mechanical Systems and Signal Processing. 2018 Aug 1;108:115–25.
Virgin LN. Sympathetic resonance. American Journal of Physics. 2018 Jun 1;86(6):439–42.
Harvey PS, Virgin LN. Effect of stiffener geometry on the response of grid-stiffened panels. Journal of Engineering Mechanics. 2018 Feb 1;144(2).
Detroux T, Noël J-P, Virgin LN, Kerschen G. Experimental study of isolas in nonlinear systems featuring modal interactions. PloS one. 2018 Jan;13(3):e0194452.
Brzeski P, Virgin LN. Experimental investigation of perpetual points in mechanical systems. Nonlinear Dynamics. 2017 Dec 1;90(4):2917–28.
Virgin L. Enhancing the teaching of structural dynamics using additive manufacturing. Engineering Structures. 2017 Dec 1;152:750–7.
Plaut RH, Virgin LN, Knight JD. Predicting critical speeds in various rotordynamics problems. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science. 2017 Nov 1;231(21):3913–22.
Virgin L. Enhancing the teaching of linear structural analysis using additive manufacturing. Engineering Structures. 2017 Nov 1;150:135–42.
Plaut RH, Virgin LN. Snap-through under unilateral displacement control with constant velocity. International Journal of Non-Linear Mechanics. 2017 Sep 1;94:292–9.
Plaut RH, Virgin LN. Furthest reach of a uniform cantilevered elastica. Mechanics Research Communications. 2017 Jul 1;83:18–21.
Virgin LN, Guan Y, Plaut RH. On the geometric conditions for multiple stable equilibria in clamped arches. International Journal of Non-Linear Mechanics. 2017 Jun 1;92:8–14.
Virgin L. On the flexural stiffness of 3D printer thermoplastic. International Journal of Mechanical Engineering Education. 2017 Jan 1;45(1):59–75.
Bishop SR, Virgin LN. The onset of chaotic motions of a moored semi-submersible. IN: PROC ASME SIXTH (1987) INT OFFSHORE MECHANICS AND ARCTIC ENGINEERING SYMP, (HOUSTON, USA: MAR 1-6, 1987). 2017 Jan 1;II, J.S. Chung; S. Berg; S.K. Chakrabarti; S.R. Montgomery (eds.), New York, U.S.A., Am. Soc. Mech.
Virgin LN, Wiebe R, Spottswood SM, Beberniss T. Inferring unstable equilibrium configurations from experimental data. In: Journal of Physics: Conference Series. 2016.
Knight JD, Virgin LN, Plaut RH. Predicting Critical Speeds in Rotordynamics: A New Method. In: Journal of Physics: Conference Series. 2016.
Plaut RH, Virgin LN. Equilibria and vibration of a buckled beam with attached masses or spring–mass systems. Journal of Sound and Vibration. 2016 Sep 29;379:166–76.
Wiebe R, Virgin LN. On the experimental identification of unstable static equilibria. Proceedings Mathematical, physical, and engineering sciences. 2016 Jun;472(2190):20160172.
George C, Virgin LN, Witelski T. Experimental study of regular and chaotic transients in a non-smooth system. International Journal of Non-Linear Mechanics. 2016 May 1;81:55–64.
Virgin LN, Knight JD, Plaut RH. A New Method for Predicting Critical Speeds in Rotordynamics. Journal of Engineering for Gas Turbines and Power. 2016 Feb 1;138(2).
Detroux T, Noël JP, Kerschen G, Virgin LN. Experimental study of isolated response curves in a two-degree-of-freedom nonlinear system. In: Conference Proceedings of the Society for Experimental Mechanics Series. 2016. p. 229–35.
Virgin LN, Plaut RH, Cartee EV. The effect of gravity on a slender loop structure. In: Conference Proceedings of the Society for Experimental Mechanics Series. 2016. p. 185–90.
Virgin LN, George C, Kini A. Experiments on a non-smoothly-forced oscillator. Physica D: Nonlinear Phenomena. 2015 Dec 1;313:1–10.
Phungpaingam B, Virgin LN, Chucheepsakul S. Snap-Through Phenomenon and Self-Contact of Spatial Elastica Subjected to Mid-Torque. International Journal of Applied Mechanics. 2015 Aug 11;7(4).
Virgin LN, Plaut RH, Cartee EV. Adjacent Equilibria in Highly Flexible Upright Loop on Rigid Foundation. Experimental Mechanics. 2015 Jul 5;55(6):1191–7.
Hartzell S, Bartlett MS, Virgin L, Porporato A. Nonlinear dynamics of the CAM circadian rhythm in response to environmental forcing. Journal of theoretical biology. 2015 Mar;368:83–94.
Virgin LN. 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. 2015 Mar 1;33(2).
Harvey PS, Virgin LN. Coexisting equilibria and stability of a shallow arch: Unilateral displacement-control experiments and theory. International Journal of Solids and Structures. 2015 Feb 1;54:1–11.
Nöel JP, Detroux T, Masset L, Kerschen G, Virgin LN. Isolated response curves in a base-excited, two-degree-of-freedom, nonlinear system. In: Proceedings of the ASME Design Engineering Technical Conference. 2015.
Wiebe R, Virgin LN, Spottswood SM. Stochastic interrogation of competing responses in a nonlinear distributed system. Nonlinear Dynamics. 2015 Jan 1;79(1):607–15.
Witelski T, Virgin LN, George C. A driven system of impacting pendulums: Experiments and simulations. Journal of Sound and Vibration. 2014 Mar 17;333(6):1734–53.
Virgin LN, Waite JJ, Wiebe R. Co-existing responses in a harmonically-excited nonlinear structural system. In: Conference Proceedings of the Society for Experimental Mechanics Series. 2014. p. 1–9.
Waite JJ, Virgin LN, Wiebe R. Competing responses in a discrete mechanical system. International Journal of Bifurcation and Chaos. 2014 Jan 1;24(1).
Plaut RH, Virgin LN. Deformation and vibration of upright loops on a foundation and of hanging loops. International Journal of Solids and Structures. 2014 Jan 1;51(18):3067–75.
Lyman TC, Virgin LN, Davis RB. Application of continuation methods to uniaxially loaded postbuckled plates. Journal of Applied Mechanics, Transactions ASME. 2014 Jan 1;81(3).
Virgin LN, Wiebe R, Spottswood SM, Eason TG. Sensitivity in the structural behavior of shallow arches. International Journal of Non-Linear Mechanics. 2014 Jan 1;58:212–21.
Plaut RH, Virgin LN. Deformation and vibration of upright loops on a foundation and of hanging loops. International Journal of Solids and Structures. 2014;
Chandra Y, Wiebe R, Stanciulescu I, Virgin LN, Spottswood SM, Eason TG. Characterizing dynamic transitions associated with snap-through of clamped shallow arches. Journal of Sound and Vibration. 2013 Oct 28;332(22):5837–55.
Plaut RH, Virgin LN. Pendulum models of ponytail motion during walking and running. Journal of Sound and Vibration. 2013 Aug 5;332(16):3768–80.
Virgin LN, Wiebe R. On damping in the vicinity of critical points. Philosophical transactions Series A, Mathematical, physical, and engineering sciences. 2013 Jun;371(1993):20120426.
Hunt G, Virgin L. Michael Thompson: some personal recollections. Philosophical transactions Series A, Mathematical, physical, and engineering sciences. 2013 Jun;371(1993):20120449.
Wiebe R, Virgin LN, Stanciulescu I, Spottswood SM, Eason TG. Characterizing dynamic transitions associated with snap-through: A discrete system. Journal of Computational and Nonlinear Dynamics. 2013 Jan 30;8(1).
Chandra Y, Stanciulescu I, Virgin LN, Eason TG, Spottswood SM. A numerical investigation of snap-through in a shallow arch-like model. Journal of Sound and Vibration. 2013 Jan 22;332(10):2532–48.
Witelski T, Virgin LN, George C. A driven system of impacting pendulums: Experiments and simulations. Journal of Sound and Vibration. 2013;
Wiebe R, Virgin LN. A harmonic balance approximation of dynamic snap-through boundaries in a single-degree-of-freedom structure. Proceedings of the ASME Design Engineering Technical Conference. 2013 Jan 1;7 B.
Olson CC, Nichols JM, Virgin LN. Parameter estimation for chaotic systems using a geometric approach: Theory and experiment. Nonlinear Dynamics. 2012 Oct 1;70(1):381–91.
Lyman TC, Virgin LN, Davis RB. Application of continuation methods to nonlinear post-buckled structures. Conference Proceedings of the Society for Experimental Mechanics Series. 2012 Jun 6;3:245–54.
Wagg D, Virgin L. Exploiting Nonlinear Behavior in Structural Dynamics. Springer; 2012.
Wiebe R, Virgin LN. A heuristic method for identifying chaos from frequency content. Chaos (Woodbury, NY). 2012 Mar;22(1):013136.
Phungpaingam B, Virgin LN, Chucheepsakul S. Stability of spatial elastica in a gravitational field. International Journal of Structural Stability and Dynamics. 2012 Mar 1;12(2):403–21.
Virgin L, Wagg D. Introductory material. In: CISM International Centre for Mechanical Sciences, Courses and Lectures. 2012. p. 1–52.
Virgin L. Vibration isolation. In: CISM International Centre for Mechanical Sciences, Courses and Lectures. 2012. p. 111–34.
Virgin L, Wagg D. Preface. Vol. 536. 2012.
Wiebe R, Virgin LN, Witelski TP. A parametrically forced nonlinear system with reversible equilibria. International Journal of Bifurcation and Chaos. 2012 Jan 1;22(6).
Wiebe R, Virgin LN, Stanciulescu I, Spottswood SM. On snap-through buckling. Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. 2011 Dec 1;
Wiebe R, Virgin LN. On the identification of chaos from frequency content. Proceedings of the ASME Design Engineering Technical Conference. 2011 Dec 1;4(PARTS A AND B):823–8.
Gao L, Tahir MA, Virgin LN, Yellen BB. Multiplexing superparamagnetic beads driven by multi-frequency ratchets. Lab on a chip. 2011 Dec;11(24):4214–20.
Santillan ST, Virgin LN. Numerical and experimental analysis of the static behavior of highly deformed risers. Ocean Engineering. 2011 Sep 1;38(13):1397–402.
Tahir MA, Gao L, Virgin LN, Yellen BB. Transport of superparamagnetic beads through a two-dimensional potential energy landscape. Physical review E, Statistical, nonlinear, and soft matter physics. 2011 Jul;84(1 Pt 1):011403.
Srivastava R, Panovsky J, Kielb R, Virgin L, Ekici K. Nonlinear flutter in fan stator vanes with time dependent fixity. Journal of Turbomachinery. 2011 Jun 23;134(2).
Plaut RH, Virgin LN. Optimal design of cantilevered elastica for minimum tip deflection under self-weight. Structural and Multidisciplinary Optimization. 2011 May 1;43(5):657–64.
Budd C, Champneys A, Lord G, Virgin L. Introduction to special issue on reflections in nonlinear mechanics. IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications). 2011 Feb 1;76(1):1.
Tahir MA, Guo L, Virgin LN, Yellen BB. Transport of superparamagnetic beads through a two-dimensional potential energy landscape. Physical Review E. 2011;84(011403).
Gao L, Tahir MA, Virgin LN, Yellen BB. Multiplexing Superparamagnetic Beads Using Phase-Modulated Multi-Frequency Ratchets (Accepted). Lab on a Chip. 2011;
Virgin LN. A block rocking on a seesawing foundation. Conference Proceedings of the Society for Experimental Mechanics Series. 2011 Jan 1;2:31–9.
Virgin LN, Lyman TC. Structural dynamics of a frame including axial load effects. Conference Proceedings of the Society for Experimental Mechanics Series. 2011 Jan 1;4:119–24.
Srivastava R, Panovsky J, Kielb R, Virgin LN, Ekici K. Non-linear flutter in fan stator vanes with time dependent fixity. ASME Journal of Turbomachinery. 2011;134(021009).
Phungpaingam B, Virgin LN, Chucheepsakul S. Stability of spatial elastica including weight effects. International Journal of Structural Stability and Dynamics. 2011;11(6).
Srivastava R, Panovsky J, Kielb R, Virgin L, Ekici K. Non-linear flutter in fan stator vanes with time dependent fixity. Proceedings of the ASME Turbo Expo. 2010 Dec 1;6(PARTS A AND B):1189–99.
Gao L, Gottron NJ, Virgin LN, Yellen BB. The synchronization of superparamagnetic beads driven by a micro-magnetic ratchet. Lab on a chip. 2010 Aug;10(16):2108–14.
Santillan ST, Virgin LN, Plaut RH. Static and dynamic behavior of highly deformed risers and pipelines. Journal of Offshore Mechanics and Arctic Engineering. 2010 May 1;132(2):1–6.
Virgin LN, Lyman TC, Davis RB. Nonlinear dynamics of a ball rolling on a surface. American Journal of Physics. 2010 Mar 1;78(3):250–7.
Plaut RH, Virgin LN. Vibrations and large postbuckling deflections of optimal pinned columns with elastic foundations. Structural and Multidisciplinary Optimization. 2010 Jan 1;40(1–6):157–64.
Santillan ST, Virgin LN, Plaut RH. Dynamic behavior of highly-deformed risers and pipelines. ASME Journal of Offshore Mechanics and Arctic Engineering. 2010;132:021401.
Plaut RH, Virgin LN. Vibration and snap-through of bent elastica strips subjected to end rotations. Journal of Applied Mechanics, Transactions ASME. 2009 Dec 1;76(4):1–7.
Virgin L, Holland D. Effect of weight on the experimental modal analysis of slender cantilever beams. Proceedings of the ASME Design Engineering Technical Conference. 2009 Dec 1;1(PARTS A AND B):557–60.
Virgin LN, Plaut RH. Some non-smooth dynamical systems in offshore mechanics. In: Lecture Notes in Applied and Computational Mechanics. 2009. p. 259–68.
Yellen BB, Virgin LN. Nonlinear dynamics of superparamagnetic beads in a traveling magnetic-field wave. Physical review E, Statistical, nonlinear, and soft matter physics. 2009 Jul;80(1 Pt 1):011402.
Yellen B, Virgin LN. Non-linear dynamics of superparamagnetic beads in a traveling magnetic field wave. Physical Review E. 2009;80(011402).
Plaut RH, Virgin LN. Vibration and snap-through of bent elastica strips subjected to end rotations. Journal of Applied Mechanics. 2009;76(041011).
Santillan ST, Plaut RH, Witelski TP, Virgin LN. Large oscillations of beams and columns including self-weight. International Journal of Non-Linear Mechanics. 2008 Oct 1;43(8):761–71.
Virgin LN, Santillan ST, Plaut RH. Vibration isolation using extreme geometric nonlinearity. Journal of Sound and Vibration. 2008 Aug 19;315(3):721–31.
Holland D, Virgin L. Experimental modal analysis of solar sail booms. Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. 2008 Jul 4;
Virgin LN, Dowell EH, Flowers G. Nonlinear Vibration. 2008 Apr 8;255–67.
Davis RB, Virgin LN, Brown AM. Cylindrical shell submerged in bounded acoustic media: A modal approach. AIAA Journal. 2008 Mar 1;46(3):752–63.
Plaut RH, Favor HM, Jeffers AE, Virgin LN. Vibration isolation using buckled or pre-bent columns-Part 1: Two-dimensional motions of horizontal rigid bar. Journal of Sound and Vibration. 2008 Feb 5;310(1–2):409–20.
Holland DB, Virgin LN, Plaut RH. Large deflections and vibration of a tapered cantilever pulled at its tip by a cable. Journal of Sound and Vibration. 2008 Feb 5;310(1–2):433–41.
Jeffers AE, Plaut RH, Virgin LN. Vibration isolation using buckled or pre-bent columns-Part 2: Three-dimensional motions of horizontal rigid plate. Journal of Sound and Vibration. 2008 Feb 5;310(1–2):421–32.
Santillan ST, Virgin LN, Plaut RH. Nonlinear two-dimensional elastica analysis of subsea risers. In: 7th European Conference on Structural Dynamics, EURODYN 2008. 2008.
Santillan ST, Virgin LN, Plaut RH. Static and dynamic behavior of highly-deformed risers and pipelines. Proceedings of the International Conference on Offshore Mechanics and Arctic Engineering - OMAE. 2007 Dec 21;3:143–9.
Virgin LN, Nichols JM. An experimental nonlinear oscillator subject to two-frequency excitation. Conference Proceedings of the Society for Experimental Mechanics Series. 2007 Dec 1;
Davis RB, Virgin LN. Non-linear behavior in a discretely forced oscillator. International Journal of Non-Linear Mechanics. 2007 Jun 1;42(5):744–53.
Virgin LN, Santillan ST, Holland DB. Effect of gravity on the vibration of vertical cantilevers. Mechanics Research Communications. 2007 Apr 1;34(3):312–7.
Todd MD, Nichols JM, Trickey ST, Seaver M, Nichols CJ, Virgin LN. Bragg grating-based fibre optic sensors in structural health monitoring. Philosophical transactions Series A, Mathematical, physical, and engineering sciences. 2007 Feb;365(1851):317–43.
Virgin LN. Vibration of axially loaded structures. 2007.
Stanciulescu I, Virgin LN, Laursen TA. Finite element analysis of a slender isogrid structure. Journal of Spacecraft and Rockets. 2007;44:529–37.
Davis RB, Virgin LN, Brown AM. Cylindrical shell submerged in bounded acoustic media: A modal approach. Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. 2007 Jan 1;5:4871–87.
Stanciulescu I, Virgin LN, Laursen TA. Slender solar sail booms: Finite element analysis. Journal of Spacecraft and Rockets. 2007 Jan 1;44(3):528–37.
Santillan ST, Virgin LN, Plaut RH. Post-buckling and vibration of heavy beam on horizontal or inclined rigid foundation. Journal of Applied Mechanics, Transactions ASME. 2006 Jul 1;73(4):664–71.
Holland DB, Stanciulescu I, Virgin LN, Plaut RH. Vibration and large deflection of cantilevered elastica compressed by angled cable. AIAA Journal. 2006 Jul 1;44(7):1468–76.
Chen H, Virgin LN. Finite element analysis of post-buckling dynamics in plates. Part II: A non-stationary analysis. International Journal of Solids and Structures. 2006 Jun 1;43(13):4008–27.
Chen H, Virgin LN. Finite element analysis of post-buckling dynamics in plates-Part I: An asymptotic approach. International Journal of Solids and Structures. 2006 Jun 1;43(13):3983–4007.
Virgin LN. A reflection on nonlinear oscillations, dynamical systems, and bifurcations of vector fields. Journal of Computational and Nonlinear Dynamics. 2006 Jan 1;1(4):277–8.
Plaut RH, Dillard DA, Virgin LN. Postbuckling of elastic columns with second-mode imperfection. Journal of Engineering Mechanics. 2006;132(8):898–901.
Holland DB, Stanciulescu I, Virgin LN, Plaut RH. Vibration and large deflection of a beam-cable system. Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. 2005 Dec 19;3:2130–42.
Santillan S, Virgin LN, Plaut RH. Equilibria and vibration of a heavy pinched loop. Journal of Sound and Vibration. 2005 Nov 22;288(1–2):81–90.
Xie J, Ding W, Dowell EH, Virgin LN. Hopf-flip bifurcation of high dimensional maps and application to vibro-impact systems. Acta Mechanica Sinica/Lixue Xuebao. 2005 Aug 1;21(4):402–10.
Plaut RH, Sidbury JE, Virgin LN. Analysis of buckled and pre-bent fixed-end columns used as vibration isolators. Journal of Sound and Vibration. 2005 May 20;283(3–5):1216–28.
Moniz L, Nichols JM, Nichols CJ, Seaver M, Trickey ST, Todd MD, et al. A multivariate, attractor-based approach to structural health monitoring. Journal of Sound and Vibration. 2005 May 6;283(1–2):295–310.
Stanciulescu I, Virgin LN, Laursen TA. Finite element analysis of slender solar sail booms. Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. 2005 Jan 1;3:2121–9.
Plaut RH, Alloway LA, Virgin LN. Nonlinear oscillations of a buckled mechanism used as a vibration isolator. Solid Mechanics and its Applications. 2005 Jan 1;122:241–50.
Chen H, Virgin LN. Dynamic analysis of modal shifting and mode jumping in thermally buckled plates. Journal of Sound and Vibration. 2004 Nov 22;278(1–2):233–56.
Todd MD, Nichols JM, Nichols CJ, Virgin LN. An assessment of modal property effectiveness in detecting bolted joint degradation: Theory and experiment. Journal of Sound and Vibration. 2004 Aug 23;275(3–5):1113–26.
Piiroinen PT, Virgin LN, Champneys AR. Chaos and period-adding; experimental and numerical verification of the grazing bifurcation. Journal of Nonlinear Science. 2004 Aug 1;14(4):383–404.
Nichols JM, Nichols CJ, Todd MD, Seaver M, Trickey ST, Virgin LN. Use of data-driven phase space models in assessing the strength of a bolted connection in a composite beam. Smart Materials and Structures. 2004 Apr 1;13(2):241–50.
Virgin LN, Plaut RH. Postbuckling and vibration of linearly elastic and softening columns under self-weight. International Journal of Solids and Structures. 2004 Jan 1;41(18–19):4989–5001.
Plaut RH, Virgin LN. Three-dimensional postbuckling and vibration of vertical half-loop under self-weight. International Journal of Solids and Structures. 2004 Jan 1;41(18–19):4975–88.
Holland DB, Virgin LN, Belvin WK. Investigation of structural dynamics in a 2-meter square solar sail model including axial load effects. 44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. 2003 Dec 1;
Todd MD, Nichols J, Seaver M, Trickey S, Virgin L, Pecora L, et al. Development and application of chaotic attractor property analysis for vibration-based structural damage assessment. In: AIP Conference Proceedings. 2003. p. 315–26.
Nichols JM, Trickey ST, Todd MD, Virgin LN. Structural health monitoring through chaotic interrogation. Meccanica. 2003 Apr 16;38(2):239–50.
Virgin LN, Davis RB. Vibration isolation using buckled struts [3]. Journal of Sound and Vibration. 2003 Mar 6;260(5):965–73.
Nichols JM, Virgin LN, Todd MD, Nichols JD. On the use of attractor dimension as a feature in structural health monitoring. Mechanical Systems and Signal Processing. 2003 Jan 1;17(6):1305–20.
Holland DB, Virgin LN, Belvin WK. Investigation of structural dynamics in a 2-meter square solar sail model including axial load effects. Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. 2003 Jan 1;5:3192–8.
Virgin LN, Nichols JM, Trickey ST. A note on the response spectrum map. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 2003 Jan 1;13(5):1337–41.
Nichols JM, Moniz L, Todd MD, Trickey ST, Seaver M, Nichols CJ, et al. Detection of fastener preload loss in a hybrid composite-to-metal bolted joint. In: Structural Health Monitoring 2003: From Diagnostics and Prognostics to Structural Health Management - Proceedings of the 4th International Workshop on Structural Health Monitoring, IWSHM 2003. 2003. p. 623–33.
Nichols JM, Todd MD, Seaver M, Virgin LN. Use of chaotic excitation and attractor property analysis in structural health monitoring. Physical review E, Statistical, nonlinear, and soft matter physics. 2003 Jan;67(1 Pt 2):016209.
Nichols JM, Todd MD, Seaver M, Virgin LN. Use of chaotic excitation and attractor property analysis in structural health monitoring. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 2003 Jan 1;67(1 2):162091–8.
Nichols JM, Virgin LN. System identification through chaotic interrogation. Mechanical Systems and Signal Processing. 2003 Jan 1;17(4):871–81.
Trickley ST, Virgin LN, Dowell EH. The stability of limit-cycle oscillations in a nonlinear aeroelastic system. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2002 Sep 8;458(2025):2203–26.
Virgin LN, Plaut RH. Use of frequency data to predict secondary bifurcation. Journal of Sound and Vibration. 2002 Apr 11;251(5):919–26.
Todd M, Trickey S, Seaver M, Nichols J, Virgin L. Structural damage assessment using chaotic dynamic interrogation. ASME International Mechanical Engineering Congress and Exposition, Proceedings. 2002 Jan 1;613–20.
Todd M, Seaver M, Trickey S, Nichols J, Virgin L. The use of a high-performance fiber optic measurement system in structural damage assessment. Proceedings of SPIE - The International Society for Optical Engineering. 2002 Jan 1;4753 I:167–73.
Holland DB, Virgin LN, Tinker ML, Slade KN. Geometric scaling properties of inflatable structures for use in space solar power generation. Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. 2002 Jan 1;1:507–16.
Todd M, Trickey S, Seaver M, Nichols J, Virgin L. Structural damage assessment using chaotic dynamic interrogation. American Society of Mechanical Engineers, Dynamic Systems and Control Division (Publication) DSC. 2002;71:613–20.
Slade KN, Virgin LN, Tinker ML. Mode splitting in an inflated polyimide cylinder with circumferential asymmetry. 19th AIAA Applied Aerodynamics Conference. 2001 Dec 1;
Nichols JM, Virgin LN, Gavin HP. Damping estimates from experimental non-linear time-series. Journal of Sound and Vibration. 2001 Oct 4;246(5):815–27.
Todd MD, Nichols JM, Pecora LM, Virgin LN. Vibration-based damage assessment utilizing state space geometry changes: local attractor variance ratio. Smart Materials and Structures. 2001 Oct 1;10(5):1000–8.
Nichols JM, Virgin LN. Practical evaluation of invariant measures for the chaotic response of a two-frequency excited mechanical oscillator. Nonlinear Dynamics. 2001 Sep 1;26(1):67–86.
Nichols JM, Todd MD, Virgin LN, Pecora LM. Vibration-based damage assessment using local attractor variance. Proceedings of SPIE - The International Society for Optical Engineering. 2001 Jul 30;4330(1):128–36.
Donescu P, Virgin LN. An implicit boundary element solution with consistent linearization for free surface flows and non-linear fluid-structure interaction of floating bodies. International Journal for Numerical Methods in Engineering. 2001 Jun 10;51(4):379–412.
VIRGIN L, TRICKEY S, DOWELL E. STABILITY TRANSITIONS IN A NONLINEAR AIRFOIL. In: Proceedings of the 5th Experimental Chaos Conference. WORLD SCIENTIFIC; 2001. p. 335–44.
Begley CJ, Virgin LN. On the OGY control of an impact-friction oscillator. JVC/Journal of Vibration and Control. 2001 Jan 1;7(6):923–31.
Virgin LN, Nichols JM, Simmons WN, Plaut RH. On the response of a shaken cable-suspended mass. Proceedings of the ASME Design Engineering Technical Conference. 2001 Jan 1;6 B:2109–13.
Slade KN, Virgin LN, Tinker ML. Mode splitting in an inflated polyimide cylinder with circumferential asymmetry. Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. 2001 Jan 1;3:1720–8.
Slade KN, Virgin LN, Tinker ML. Mode splitting in an inflated polyimide cylinder with circumferential asymmetry. In: 19th AIAA Applied Aerodynamics Conference. 2001.
Virgin LN, Aldemir U, Gavin HP, Nichols JM, Plaut RH. An investigation of a rocking-sliding block. Proceedings of the ASME Design Engineering Technical Conference. 2001 Jan 1;6 B:1279–83.
Todd MD, Nichols JM, Pecora LM, Virgin LN. Novel nonlinear feature identification in vibration-based damage detection using local attractor variance. Proceedings of the International Modal Analysis Conference - IMAC. 2001 Jan 1;1:438–44.
Trickey ST, Virgin LN, Dowell EH. Characterizing stability of responses in a nonlinear aeroelastic system. 41st Structures, Structural Dynamics, and Materials Conference and Exhibit. 2000 Dec 1;
Trickey ST, Virgin LN, Dowell EH. Characterizing stability of responses in a nonlinear aeroelastic system. Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. 2000 Jan 1;1(I):57–62.
Virgin LN, Begley CJ. Nonlinear features in the dynamics of an impact-friction oscillator. In: Broomhead DS, Luchinskaya EA, McClintock PVE, Mullin T, editors. STOCHASTIC AND CHAOTIC DYNAMICS IN THE LAKES. AMER INST PHYSICS; 2000. p. 469–75.
Trickey ST, Virgin LN, Dowell EH. Characterizing stability of responses in a nonlinear aeroelastic system. In: 41st Structures, Structural Dynamics, and Materials Conference and Exhibit. 2000.
Virgin LN, Begley CJ. Grazing bifurcations and basins of attraction in an impact-friction oscillator. Physica D: Nonlinear Phenomena. 1999 Jun 1;130(1–2):43–57.
Virgin LN, Dowell EH, Conner MD. On the evolution of deterministic non-periodic behavior of an airfoil. International Journal of Non-Linear Mechanics. 1999 Jan 1;34(3):499–514.
Virgin LN, Begley CJ. Grazing bifurcations and basins of attraction in an impact-friction oscillator. Physica D: Nonlinear Phenomena. 1999;130(1–2):43–57.
Trickey ST, Virgin LN. Bottlenecking phenomenon near a saddle-node remnant in a Duffing oscillator. Physics Letters, Section A: General, Atomic and Solid State Physics. 1998 Nov 9;248(2–4):185–90.
Hu HY, Dowell EH, Virgin LN. Stability estimation of high dimensional vibrating systems under state delay feedback control. Journal of Sound and Vibration. 1998 Jul 16;214(3):497–511.
Begley CJ, Virgin LN. Impact response and the influence of friction. Journal of Sound and Vibration. 1998 Apr 16;211(5):801–18.
Tang D, Dowell EH, Virgin LN. Limit cycle behavior of an airfoil with a control surface. Journal of Fluids and Structures. 1998 Jan 1;12(7):839–58.
Virgin LN, Todd MD, Begley CJ, Trickey ST, Dowell EH. Basins of attraction in experimental nonlinear oscillators. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 1998 Jan 1;8(3):521–33.
Virgin LN, Todd MD, Begley CJ, Trickey ST, Dowell EH. Basins of attraction in experimental nonlinear oscillators. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 1998;8(3):521–33.
Hu H, Dowell EH, Virgin LN. Resonances of a Harmonically Forced Duffing Oscillator with Time Delay State Feedback. Nonlinear Dynamics. 1998 Jan 1;15(4):311–27.
Conner MD, Tang DM, Dowell EH, Virgin LN. Nonlinear behavior of a typical airfoil section with control surface freeplay: A numerical and experimental study. Journal of Fluids and Structures. 1997 Jan 1;11(1):89–109.
Slade KN, Virgin LN, Bayly PV. Extracting information from interimpact intervals in a mechanical oscillator. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 1997 Jan 1;55(3):3705–7.
Murphy KD, Virgin LN, Rizzi SA. The effect of thermal prestress on the free vibration characteristics of clamped rectangular plates: theory and experiment. Trans ASME J Vib Acoust (USA). 1997;119(2):243–9.
Conner MD, Tang DM, Dowell EH, Virgin LN. Nonlinear aeroelasticity of an airfoil with control surface freeplay. In: 35th Aerospace Sciences Meeting and Exhibit. 1997.
Fielder WT, Virgin LN, Plaut RH. Experiments and simulation of overturning of an asymmetric rocking block on an oscillating foundation. European Journal of Mechanics, A/Solids. 1997 Jan 1;16(5):905–23.
Conner MD, Tang DM, Dowell EH, Virgin LN. Nonlinear aeroelasticity of an airfoil with control surface freeplay. In: 35th Aerospace Sciences Meeting and Exhibit. 1997.
Todd MD, Virgin LN. An experimental impact oscillator. Chaos, Solitons and Fractals. 1997 Jan 1;8(4 SPEC. ISS.):699–714.
Todd MD, Virgin LN. An experimental verification of basin metamorphoses in a nonlinear mechanical system. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 1997 Jan 1;7(6):1337–57.
Begley CJ, Virgin LN. A detailed study of the low-frequency periodic beliavior of a dry friction oscillator. Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME. 1997 Jan 1;119(3):491–7.
Donescu P, Virgin LN. Free surface flow computation using a fully consistent method. American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED. 1996 Dec 1;238:421–6.
Slade KN, Virgin LN. Monitoring the behavior of an experimental impacting system. American Society of Mechanical Engineers, Design Engineering Division (Publication) DE. 1996 Dec 1;90:75–84.
Todd MD, Virgin LN. Natural frequency considerations of an impact oscillator. Journal of Sound and Vibration. 1996 Jul 18;194(3):452–60.
Donescu P, Virgin LN, Wu JJ. Periodic solutions of an unsymmetric oscillator including a comprehensive study of their stability characteristics. Journal of Sound and Vibration. 1996 May 23;192(5):959–76.
Virgin LN, Fielder WT, Plaut RH. Transient motion and overturning of a rocking block on a seesawing foundation. Journal of Sound and Vibration. 1996 Mar 21;191(1):177–87.
Plaut RH, Fielder WT, Virgin LN. Fractal Behavior of an Asymmetric Rigid Block Overturning Due to Harmonic Motion of a Tilted Foundation. Chaos, Solitons and Fractals. 1996 Jan 1;7(2):177–96.
Murphy KD, Virgin LN, Rizzi SA. Experimental snap-through boundaries for acoustically excited, thermally buckled plates. Experimental Mechanics. 1996;36(4):312–7.
Conner MD, Virgin LN, Dowell EH. Accurate numerical integration of state-space models for aeroelastic systems with free play. AIAA Journal. 1996 Jan 1;34(10):2202–5.
Conner MD, Donescu P, Virgin LN. On the global convergence characteristics of numerically evaluated jacobian matrices: Technical note. Nonlinear Dynamics. 1996 Jan 1;10(2):165–74.
Donescu P, Virgin LN. Efficient determination of higher-order periodic solutions using n-mode harmonic balance. IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications). 1996 Jan 1;56(1):21–32.
Todd MD, Virgin LN, Gottwald JA. The nonstationary transition through resonance. Nonlinear Dynamics. 1996 Jan 1;10(1):31–48.
Slade KN, Virgin LN. MONITORING THE BEHAVIOR OF AN EXPERIMENTAL IMPACTING SYSTEM. In: ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE). 1996. p. 75–84.
Murphy KD, Virgin LN, Rizzi SA. Characterizing the dynamic response of a thermally loaded, acoustically excited plate. Journal of Sound and Vibration. 1996;196(5):635–58.
Fielder WT, Virgin LN, Plaut RH. Experiments on a rocking block. American Society of Mechanical Engineers, Design Engineering Division (Publication) DE. 1995 Dec 1;84(3 Pt A/1):781–6.
Murphy KD, Virgin LN, Rizzi SA. Experimental study of the forced response of pre- and post-critical plates. American Society of Mechanical Engineers, Design Engineering Division (Publication) DE. 1995 Dec 1;84(3 Pt A/1):695–701.
Gottwald JA, Virgin LN, Dowell EH. Routes to escape from an energy well. Journal of Sound and Vibration. 1995 Oct 19;187(1):133–44.
Fielder WT, Virgin LN, Plaut RH. Experiments on a rocking block. In: Proceedings of the ASME Design Engineering Technical Conference. 1995. p. 781–6.
Begley CJ, Virgin LN. A comparison of piecewise linear and continuous approximating models. Mechanics Research Communications. 1995 Jan 1;22(6):527–32.
Plaut RH, Murphy KD, Virgin LN. Curve and surface veering for a braced column. J Sound Vib (UK). 1995;187(5):879–85.
Virgin LN, Walsh TF, Knight JD. Nonlinear behavior of a magnetic bearing system. Trans ASME, J Eng Gas Turbines Power (USA). 1995;117(3):582–8.
Fielder WT, Virgin LN, Plaut RH. Overturning of a rigid block under horizontal base excitation. Proceedings of Engineering Mechanics. 1995 Jan 1;1:195–8.
Murphy KD, Virgin LN, Rizzi SA. An experimental study of the forced response of pre- And post-critical plates. In: Proceedings of the ASME Design Engineering Technical Conference. 1995. p. 695–701.
Bayly PV, Virgin LN. Practical considerations in the control of chaos. Physical review E, Statistical physics, plasmas, fluids, and related interdisciplinary topics. 1994 Jul;50(1):604–7.
MURPHY KD, VIRGIN LN, RIZZI SA. FREE VIBRATION OF THERMALLY LOADED PANELS INCLUDING INITIAL IMPERFECTIONS AND POST-BUCKLING EFFECTS. In: Ferguson NS, Wolfe HF, Mei C, editors. STRUCTURAL DYNAMICS: RECENT ADVANCES - PROCEEDINGS OF THE 5TH INTERNATIONAL CONFERENCE, VOLS I AND II. INST SOUND VIBRATION RESEARCH; 1994. p. 401–11.
Murphy KD, Bayly PV, Virgin LN, Gottwald JA. Measuring the stability of periodic attractors using perturbation-induced transients: applications to two non-linear oscillators. Journal of Sound and Vibration. 1994;172(1):85–102.
Virgin LN, Walsh TF, Knight JD. Nonlinear behavior of a magnetic bearing system. American Society of Mechanical Engineers (Paper). 1994 Jan 1;1–7.
Virgin LN, Murphy KD. On the behavior of characteristic multipliers through a period-doubling sequence. Journal of Sound and Vibration. 1994;169(5):699–703.
Virgin LN, Erickson BK. A new approach to the overturning stability of floating structures. Ocean Engineering. 1994 Jan 1;21(1):67–80.
BAYLY PV, VIRGIN LN, GOTTWALD JA, DOWELL EH. STABILITY MEASUREMENTS IN NONLINEAR MECHANICAL EXPERIMENTS GUIDED BY DYNAMICAL SYSTEMS THEORY. In: Thompson JMT, Bishop SR, editors. NONLINEARITY AND CHAOS IN ENGINEERING DYNAMICS. JOHN WILEY & SONS LTD; 1994. p. 59–70.
Virgin LN, Walsh TF, Knight JD. Nonlinear behavior of a magnetic bearing system. Proceedings of the ASME Turbo Expo. 1994 Jan 1;5.
Virgin LN, Plaut RH. Effect Of Axial Load On Forced Vibrations Of Beams. Journal of Sound and Vibration. 1993 Dec 22;168(3):395–405.
Reynolds RR, Virgin LN, Dowell EH. High-dimensional chaos can lead to weak turbulence. Nonlinear Dynamics. 1993 Dec 1;4(6):531–46.
Donescu P, Virgin LN. Nonlinear coupled heave and roll oscillations of a ship in beam seas. American Society of Mechanical Engineers, Dynamic Systems and Control Division (Publication) DSC. 1993 Dec 1;51:21–8.
Bayly PV, Virgin LN. On the stability of forced radial oscillations of an experimental spring pendulum. American Society of Mechanical Engineers, Design Engineering Division (Publication) DE. 1993 Dec 1;56:229–36.
Reynolds RR, Dowell EH, Tang D, Virgin LN. Nonlinear behavior of low aspect ratio panels in subsonic flow: a preliminary study. American Society of Mechanical Engineers, Aerospace Division (Publication) AD. 1993 Dec 1;33:9–12.
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. 1993 Nov 8;443(1918):391–408.
Bayly PV, Virgin LN. An experimental study of an impacting pendulum. Journal of Sound and Vibration. 1993 Jun 22;164(2):364–74.
Virgin LN. Dynamic characteristics of deteriorating engineering structures. Applied Mechanics Reviews. 1993;46(5):220–6.
Bayly PV, Virgin LN. On the stability of forced radial oscillations of an experimental spring pendulum. In: Proceedings of the ASME Design Engineering Technical Conference. 1993. p. 229–36.
Gottwald JA, Virgin LN, Dowell EH. Experimental mimicry of Duffing's equation. Journal of Sound and Vibration. 1992 Nov 8;158(3):447–67.
Virgin LN, Plaut RH, Cheng CC. Prediction of escape from a potential well under harmonic excitation. International Journal of Non-Linear Mechanics. 1992 Jan 1;27(3):357–65.
Bayly PV, Virgin LN. 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). 1992;2(4):983–8.
Bayly PV, Virgin LN. Chaotic rattling of a piecewise nonlinear oscillator. American Society of Mechanical Engineers (Paper). 1991 Dec 1;1–6.
Virgin LN, Cartee LA. A note on the escape from a potential well. International Journal of Non-Linear Mechanics. 1991 Jan 1;26(3–4):449–52.
Virgin LN, Bishop SR. Catchment Regions of Multiple Dynamic Responses in Nonlinear Problems of Offshore Mechanics. Journal of Offshore Mechanics and Arctic Engineering. 1990 Jan 1;112(2):127–33.
Dowell EH, Virgin LN. On spatial chaos, asymptotic modal analysis, and turbulence. Journal of Applied Mechanics, Transactions ASME. 1990 Jan 1;57(4):1094–7.
Plaut RH, Virgin LN. Use of frequency data to predict buckling. Journal of Engineering Mechanics. 1990 Jan 1;116(10):2330–5.
Virgin LN. Approximate criterion for capsize based on deterministic dynamics. Dynamics and Stability of Systems. 1989 Jan 1;4(1):56–70.
Virgin LN. Approximate criterion for capsize based on deterministic dynamics. Dynamics and Stability of Systems. 1989;4(1):55–70.
Virgin LN. On the harmonic response of an oscillator with unsymmetric restoring force. Journal of Sound and Vibration. 1988 Oct 8;126(1):157–65.
Thompson JMT, Virgin LN. Spatial chaos and localization phenomena in nonlinear elasticity. Physics Letters A. 1988 Jan 25;126(8–9):491–6.
Virgin LN, Bishop SR. Catchment regions of multiple dynamic responses in nonlinear problems of offshore mechanics. IN: OMAE 1988 HOUSTON, PROC 7TH INT CONF ON OFFSHORE MECHANICS AND ARCTIC ENGINEERING, (HOUSTON, USA: FEB 7-12, 1988),. 1988 Jan 1;II, New York, U.S.A., Am. Soc. Mech. Engrs., 1988:15–22.
Bishop SR, Virgin LN. The onset of chaotic motions of a moored semi-submersible. Journal of Offshore Mechanics and Arctic Engineering. 1988 Jan 1;110(3):205–9.
Virgin LN, Bishop SR. CATCHMENT REGIONS OF MULTIPLE DYNAMIC RESPONSES IN NONLINEAR PROBLEMS OF OFFSHORE MECHANICS. Proceedings of the International Offshore Mechanics and Arctic Engineering Symposium. 1988 Jan 1;2:15–22.
Virgin LN, Bishop SR. Complex dynamics and chaotic responses in the time domain simulations of a floating structure. Ocean Engineering. 1988 Jan 1;15(1):71–90.
Bishop SR, Virgin LN, Leung DLM. On the computation of domains of attraction during the dynamic modelling of oscillating systems. Applied Mathematical Modelling. 1988 Jan 1;12(5):503–16.
Virgin LN. FREE VIBRATIONS OF IMPERFECT CANTILEVER BARS UNDER SELF-WEIGHT LOADING. Proceedings of the Institution of Mechanical Engineers Part C Mechanical engineering science. 1987;201(C5):345–7.
Bishop SR, Leung LM, Virgin LN. Predicting incipient jumps to resonance of compliant marine structures in an evolving sea-state. Journal of Offshore Mechanics and Arctic Engineering. 1987 Jan 1;109(3):223–8.
Bishop SR, Virgin LN. The onset of chaotic motions of a moored semi-submersible. IN: PROC ASME SIXTH (1987) INT OFFSHORE MECHANICS AND ARCTIC ENGINEERING SYMP, (HOUSTON, USA: MAR 1-6, 1987). 1987 Jan 1;II, J.S. Chung; S. Berg; S.K. Chakrabarti; S.R. Montgomery (eds.), New York, U.S.A., Am. Soc. Mech.
Virgin LN. Free vibrations of imperfect cantilever bars under self-weight loading. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science. 1987 Jan 1;201(5):345–7.
Bishop SR, Virgin LN. ONSET OF CHAOTIC MOTIONS OF A MOORED SEMI-SUBMERSIBLE. Proceedings of the International Offshore Mechanics and Arctic Engineering Symposium. 1987 Jan 1;2:319–23.
Virgin LN. The nonlinear rolling response of a vessel including chaotic motions leading to capsize in regular seas. Applied Ocean Research. 1987 Jan 1;9(2):89–95.
Virgin LN. Parametric studies of the dynamic evolution through a fold. Journal of Sound and Vibration. 1986 Oct 8;110(1):99–109.
Virgin LN. Postbuckling dynamics of struts as related to their loading devices. Engineering Structures. 1986 Jan 1;8(2):127–33.
Thompson JMT, Virgin LN. Predicting a jump to resonance using transient maps and beats. International Journal of Non-Linear Mechanics. 1986 Jan 1;21(3):205–16.
Virgin LN. The dynamics of symmetric post-buckling. International Journal of Mechanical Sciences. 1985 Jan 1;27(4):235–48.
Bishop SR, Virgin LN. The onset of chaotic motions of a moored semi-submersible. (Accepted) IN: PROC ASME SIXTH (1987) INT OFFSHORE MECHANICS AND ARCTIC ENGINEERING SYMP, (HOUSTON, USA: MAR 1-6, 1987). II, J.S. Chung; S. Berg; S.K. Chakrabarti; S.R. Montgomery.

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