# Lawrie Virgin

### Publications

**Books**

- D.J. Wagg and L.N. Virgin,
*Exploiting Nonlinear Behavior in Structural Dynamics*(2012), Springer. - L.N. Virgin,
*Vibration of Axially Loaded Structures*(2007), Cambridge University Press. - L.N. Virgin,
*Introduction to Experimental Nonlinear Dynamics*(2000), Cambridge University Press.

**Book Chapters**

**Papers Published**

- Y. Chandra, 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, vol 332 (2013), pp. 2532-2548. - R. Wiebe, L.N. Virgin, I. Stanciulescu, S.M. Spottswood and T.G. Eason,
*Characterizing Dynamic Transitions Associated with Snap-Through: A Discrete System*, ASME Journal of Computational and Nonlinear Dynamics, vol 8 no. 011010-1 (2013). - G.W. Hunt and L.N. Virgin,
*Michael Thompson: Some personal recollections*, Proceedings of the Royal Society of London, vol 371 (2013), pp. 20120449. - L.N. Virgin and R. Wiebe,
*On damping in the vicinity of critical points*, Philosophical Transactions of the Royal Society of London, vol 371 (2013), pp. 20120426. - R.H. Plaut and L.N. Virgin,
*Pendulum models of ponytail motion during walking and running*, Journal of Sound and Vibration, vol 332 (2013), pp. 3768-3780. - R. Srivastava, J. Panovsky, R. Kielb, L.N. Virgin and K. Ekici,
*Non-linear flutter in fan stator vanes with time dependent fixity*, ASME Journal of Turbomachinery, vol 134 no. 021009 (2012). - R. Wiebe, L.N. Virgin and T.P. Witelski,
*A parametrically forced nonlinear system with reversible equilibria*, International Journal of Bifurcation and Chaos, vol 22 no. 1230020 (2012), pp. 1-16. - C.C. Olsen, J.M. Nichols and L.N. Virgin,
*Parameter estimation for chaotic systems using a geometric approach: theory and experiment*, Nonlinear Dynamics, vol 70 (2012), pp. 381-391. - R. Wiebe and L.N. Virgin,
*A heuristic method for identifying chaos from frequency content*, Chaos: An Interdisciplinary Journal, vol 22 no. 036136 (2012). - L. Gao, M.A. Tahir, L.N. Virgin, and B.B. Yellen,
*Multiplexing Superparamagnetic Beads Using Phase-Modulated Multi-Frequency Ratchets*, Lab on a Chip, vol 11 no. 4214-4220 (2011). - B. Phungpaingam, L. N. Virgin and S. Chucheepsakul,
*Stability of spatial elastica including weight effects*, International Journal of Structural Stability and Dynamics, vol 11 no. 6 (2011). - S.T. Santillan and L.N. Virgin,
*Numerical and experimental analysis of the static behavior of highly deformed risers and pipelines*, Ocean Engineering, vol 38 (2011), pp. 1397-1402. - M.A. Tahir, L. Guo, L.N. Virgin and B.B. Yellen,
*Transport of superparamagnetic beads through a two-dimensional potential energy landscape*, Physical Review E, vol 84 no. 011403 (2011). - R.H. Plaut and L.N. Virgin,
*Optimal design of cantilevered elastica for minimum tip deflection under self-weight*, Structural and Multidisciplinary Optimization, vol 43 (2011), pp. 657-664. - S.T. Santillan, L.N. Virgin, and R.H. Plaut,
*Dynamic behavior of highly-deformed risers and pipelines*, ASME Journal of Offshore Mechanics and Arctic Engineering, vol 132 (2010), pp. 021401. - L. Gao, N.J. Gottron, L N. Virgin and B.B. Yellen,
*The synchronization of superparamagnetic beads driven by a micro-magnetic ratchet*, Lab on a Chip, vol 10 (2010), pp. 2108-2114. - L.N. Virgin and R.H. Plaut,
*Vibrations and large postbuckling deflections of optimal pinned columns with elastic foundationsâ€™*, Structural and Multidisciplinary Optimization, vol 40 (2010), pp. 157-164. - L.N. Virgin, T.C. Lyman and R.B. Davis,
*Nonlinear dynamics of a ball rolling on a surface*, American Journal of Physics, vol 78 (2010), pp. 250-257. - R.H. Plaut and L.N. Virgin,
*Vibration and snap-through of bent elastica strips subjected to end rotations*, Journal of Applied Mechanics, vol 76 no. 041011 (2009). - B. Yellen and L.N. Virgin,
*Non-linear dynamics of superparamagnetic beads in a traveling magnetic field wave*, Physical Review E, vol 80 no. 011402 (2009). - S.T. Santillan, R.H. Plaut, T.P. Witelski and L.N. Virgin,
*Large amplitude oscillations of beams and columns including self-weight*, International Journal of Nonlinear Mechanics, vol 43 (2008), pp. 761-771. - L.N. Virgin, S.T. Santillan, and R.H. Plaut,
*Vibration isolation using extreme geometric nonlinearity*, Journal of Sound and Vibration, vol 315 (2008), pp. 721-731. - R.B. Davis, L.N. Virgin and A.M. Brown,
*Cylindrical shell submerged in bounded acoustic media: a modal approach*, AIAA Journal, vol 46 (2008), pp. 752-763. - R.H. Plaut, H.F. 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, vol 310 (2008), pp. 409-420. - D.B. Holland, 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, vol 310 (2008), pp. 433-441. - A.E. Jeffers, 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, vol 310 (2008), pp. 421-432. - L.N. Virgin, S.T. Santillan and R.H. Plaut,
*Vibration isolation using extreme geometric nonlinearity*, Journal of Sound and Vibration, vol 315 (2008), pp. 721-731. - L.N. Virgin, D.B. Holland and S. Santillan,
*Effect of gravity on the vibration of vertical cantileversâ€™*, Mechanics Research Communications, vol 34 (2007), pp. 312-317. - M.D. Todd, J.M. Nichols, S.T. Trickey, M. Seaver, C.J. Nichols and L.N. Virgin,
*Bragg grating-based fibre optic sensors in structural health monitoring*, Philosophical Transactions of the Royal Society of London, vol 365 (2007), pp. 317-343. - R.B. Davis and L.N. Virgin,
*Non-linear behavior in a discretely-forced oscillator*, International Journal of Nonlinear Mechanics, vol 42 (2007), pp. 744-753. - I. Stanciulescu, L.N. Virgin and T.A. Laursen,
*Finite element analysis of a slender isogrid structure*, Journal of Spacecraft and Rockets, vol 44 (2007), pp. 529-537. - H. Chen and L.N. Virgin,
*Finite element analysis of post-buckling dynamics in plates-Part I: An asymptotic approach*, International Journal of Solids and Structures, vol 43 no. 13 (2006), pp. 3983 - 4007 [036] [abs]. - Santillan, S.T. and Virgin, L.N. and Plaut, R.H.,
*Post-buckling and vibration of heavy beam on horizontal or inclined rigid foundation*, Journal of Applied Mechanics, Transactions ASME, vol 73 no. 4 (2006), pp. 664 - 671 [1.2165237] [abs]. - D.B. Holland, I. Stanciulescu, L.N. Virgin and R.H. Plaut,
*Vibration and large deflection of cantilevered elastica compressed by angled cable*, AIAA Journal, vol 44 no. 7 (2006), pp. 1468 - 1476 [abs]. - H. Chen and L.N. Virgin,
*Finite element analysis of post-buckling dynamics in plates. Part II: A non-stationary analysis*, International Journal of Solids and Structures, vol 43 no. 13 (2006), pp. 4008 - 4027 [037] [abs]. - R.H. Plaut, D.A. Dillard, and L.N. Virgin,
*Postbuckling of elastic columns with second-mode imperfection*, Journal of Engineering Mechanics, vol 132 no. 8 (2006), pp. 898 - 901 [(ASCE)0733-9399(2006)132:8(898)] [abs]. - S. Santillan, L.N. Virgin and R.H. Plaut,
*Postbuckling and vibration of heavy beam on horizontal or inclined rigid foundationâ€™*, Journal of Applied Mechanics, vol 73 (2006), pp. 664-671. - Plaut, R.H. and Sidbury, J.E. and Virgin, L.N.,
*Analysis of buckled and pre-bent fixed-end columns used as vibration isolators*, Journal of Sound and Vibration, vol 283 no. 3-5 (2005), pp. 1216 - 1228 [029] [abs]. - J. Xie, W. Ding, E.H. Dowell and L.N. Virgin,
*Hopf-flip bifurcation of high dimensional maps and application to vibro-impact systems*, Acta Mechanica Sinica/Lixue Xuebao, vol 21 no. 4 (2005), pp. 402 - 410 [abs]. - Moniz, L. and Nichols, J.M. and Nichols, C.J. and Seaver, M. and Trickey, S.T. and Todd, M.D. and Pecora, L.M. and Virgin, L.N.,
*A multivariate, attractor-based approach to structural health monitoring*, Journal of Sound and Vibration, vol 283 no. 1-2 (2005), pp. 295 - 310 [016] [abs]. - S. Santillan, L.N. Virgin and R.H. Plaut,
*Equilibria and vibration of a heavy pinched loop*, Journal of Sound and Vibration, vol 288 no. 1-2 (2005), pp. 81 - 90 [016] [abs]. - Todd, M.D. and Nichols, J.M. and Nichols, C.J. and Virgin, L.N.,
*An assessment of modal property effectiveness in detecting bolted joint degradation: Theory and experiment*, Journal of Sound and Vibration, vol 275 no. 3-5 (2004), pp. 1113 - 1126 [037] [abs]. - Nichols, J.M. and Nichols, C.J. and Todd, M.D. and Seaver, M. and Trickey, S.T. and Virgin, L.N.,
*Use of data-driven phase space models in assessing the strength of a bolted connection in a composite beam*, Smart Materials and Structures, vol 13 no. 2 (2004), pp. 241 - 250 [001] [abs]. - Chen, H. and Virgin, L.N.,
*Dynamic analysis of modal shifting and mode jumping in thermally buckled plates*, Journal of Sound and Vibration, vol 278 no. 1-2 (2004), pp. 233 - 256 [054] [abs]. - Piiroinen, P.T. and Virgin, L.N. and Champneys, A.R.,
*Chaos and period-adding: Experimental and numerical verification of the grazing bifurcation*, Journal of Nonlinear Science, vol 14 no. 4 (2004), pp. 383 - 404 [s00332-004-0616-y] [abs]. - Virgin, L.N. and Plaut, R.H.,
*Postbuckling and vibration of linearly elastic and softening columns under self-weight*, International Journal of Solids and Structures, vol 41 no. 18-19 (2004), pp. 4989 - 5001 [023] [abs]. - Plaut, R.H. and Virgin, L.N.,
*Three-dimensional postbuckling and vibration of vertical half-loop under self-weight*, International Journal of Solids and Structures, vol 41 no. 18-19 (2004), pp. 4975 - 4988 [014] [abs]. - Nichols, J.M. and Virgin, L.N. and Todd, M.D. and Nichols, J.D.,
*On the use of attractor dimension as a feature in structural health monitoring*, Mechanical Systems and Signal Processing, vol 17 no. 6 (2003), pp. 1305 - 1320 [1521] [abs]. - Virgin, L.N. and Davis, R.B.,
*Vibration isolation using buckled struts [3]*, Journal of Sound and Vibration, vol 260 no. 5 (2003), pp. 965 - 973 [S0022-460X(02)01177-X] [abs]. - Nichols, J.M. and Virgin, L.N.,
*System identification through chaotic interrogation*, Mechanical Systems and Signal Processing, vol 17 no. 4 (2003), pp. 871 - 881 [1471] [abs]. - Nichols, J.M. and Trickey, S.T. and Todd, M.D. and Virgin, L.N.,
*Structural health monitoring through chaotic interrogation*, Meccanica, vol 38 no. 2 (2003), pp. 239 - 250 [A:1022898403359] [abs]. - Nichols, J.M. and Virgin, L.N.,
*System identification through chaotic interrogation*, Mech. Syst. Signal Process. (UK), vol 17 no. 4 (2003), pp. 871 - 81 [1471] [abs]. - Virgin, L.N. and Nichols, J.M. and Trickey, S.T.,
*A note on the response spectrum map*, Int. J. Bifurcation Chaos Appl. Sci. Eng. (Singapore), vol 13 no. 5 (2003), pp. 1337 - 41 [S0218127403007278] [abs]. - Nichols, J.M. and Todd, M.D. and Seaver, M. and Virgin, L.N.,
*Use of chaotic excitation and attractor property analysis in structural health monitoring*, Phys. Rev. E, Stat. Nonlinear Soft Matter Phys. (USA), vol 67 no. 1 (2003), pp. 16209 - 1 [PhysRevE.67.016209] [abs]. - Virgin, L.N. and Plaut, R.H.,
*Use of frequency data to predict secondary bifurcation*, Journal of Sound and Vibration, vol 251 no. 5 (2002), pp. 919 - 926 [3906]. - S.T. Trickey, L.N. Virgin and E.H. Dowell,
*The stability of limit-cycle oscillations in a nonlinear aeroelastic system*, Proc. R. Soc. Lond. A, Math. Phys. Eng. Sci. (UK), vol 458 no. 2025 (2002), pp. 2203 - 26 [0965] [abs]. - M.D. Todd, J.M. Nichols, L.M. Pecora and L.N. Virgin,
*Vibration-based damage assessment utilizing state space geometry changes: local attractor variance ratio*, Smart Materials and Structures, vol 10 no. 5 (2001), pp. 1000 - 1008 [316] [abs]. - Donescu, P. and Virgin, L.N.,
*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, vol 51 no. 4 (2001), pp. 379 - 412 [141] [abs]. - Begley, C.J. and Virgin, L.N.,
*On the OGY control of an impact-friction oscillator*, JVC/Journal of Vibration and Control, vol 7 no. 6 (2001), pp. 923 - 931 [abs]. - Nichols, J.M. and Virgin, L.N. and Gavin, H.P.,
*Damping estimates from experimental non-linear time-series*, Journal of Sound and Vibration, vol 246 no. 5 (2001), pp. 815 - 827 [3653] [abs]. - Nichols, J.M. and Virgin, L.N.,
*Practical evaluation of invariant measures for the chaotic response of a two-frequency excited mechanical oscillator*, Nonlinear Dynamics, vol 26 no. 1 (2001), pp. 67 - 86 [A:1012923517945] [abs]. - Virgin, L.N. and Begley, C.J.,
*Grazing bifurcations and basins of attraction in an impact-friction oscillator*, Physica D: Nonlinear Phenomena, vol 130 no. 1 (1999), pp. 43 - 57 [S0167-2789(99)00016-0] [abs]. - Trickey, S.T. and Virgin, L.N.,
*Bottlenecking phenomenon near a saddle-node remnant in a Duffing oscillator*, Phys. Lett. A (Netherlands), vol 248 no. 2-4 (1998), pp. 185 - 90 [S0375-9601(98)00665-3] [abs]. - Tang, D. and Dowell, E.H. and Virgin, L.N.,
*Limit cycle behavior of an airfoil with a control surface*, Journal of Fluids and Structures, vol 12 no. 7 (1998), pp. 839 - 858 [0174] [abs]. - Begley, C.J. and Virgin, L.N.,
*Impact response and the influence of friction*, Journal of Sound and Vibration, vol 211 no. 5 (1998), pp. 801 - 818 [1389] [abs]. - Virgin, L.N. and Dowell, E.H. and Conner, M.D.,
*On the evolution of deterministic non-periodic behavior of an airfoil*, International Journal of Non-Linear Mechanics, vol 34 no. 3 (1998), pp. 499 - 514 [S0020-7462(98)00038-9] [abs]. - Hu, Haiyan and Dowell, Earl H. and Virgin, Lawrence N.,
*Resonances of a harmonically forced Duffing oscillator with time delay state feedback*, Nonlinear Dynamics, vol 15 no. 4 (1998), pp. 311 - 327 [A:1008278526811] [abs]. - Hu, H.Y. and Dowell, E.H. and Virgin, L.N.,
*Stability estimation of high dimensional vibrating systems under state delay feedback control*, Journal of Sound and Vibration, vol 214 no. 3 (1998), pp. 497 - 511 [1548] [abs]. - Virgin, L.N. and Todd, M.D. and Begley, C.J. and Trickey, S.T. and Dowell, E.H.,
*Basins of attraction in experimental nonlinear oscillators*, Int. J. Bifurcation Chaos Appl. Sci. Eng. (Singapore), vol 8 no. 3 (1998), pp. 521 - 33 [S0218127498000334] [abs]. - Conner, M.D. and Tang, D.M. and Dowell, E.H. and Virgin, L.N.,
*Nonlinear behavior of a typical airfoil section with control surface freeplay: A numerical and experimental study*, Journal of Fluids and Structures, vol 11 no. 1 (1997), pp. 89 - 109 [0068] [abs]. - Slade, K.N. and Virgin, L.N. and Bayly, P.V.,
*Extracting information from interimpact intervals in a mechanical oscillator*, Physical Review E. Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol 56 no. 3-B pt B (1997), pp. 3705 - 3708 [3705] [abs]. - Murphy, K.D. and Virgin, L.N. and Rizzi, S.A.,
*Effect of thermal prestress on the free vibration characteristics of clamped rectangular plates: Theory and experiment*, Journal of Vibration and Acoustics, Transactions of the ASME, vol 119 no. 2 (1997), pp. 243 - 249 [abs]. - Fielder, W.T. and Virgin, L.N. and Plaut, R.H.,
*Experiments and simulation of overturning of an asymmetric rocking block on an oscillating foundation*, European Journal of Mechanics, A/Solids, vol 16 no. 5 (1997), pp. 905 - 923 [abs]. - Slade, K.N. and Virgin, L.N. and Bayly, P.V.,
*Extracting information from interimpact intervals in a mechanical oscillator*, Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top. (USA), vol 56 no. 3 (1997), pp. 3705 - 8 [3705] [abs]. - Todd, M.D. and Virgin, L.N.,
*An experimental verification of basin metamorphoses in a nonlinear mechanical system*, Int. J. Bifurcation Chaos Appl. Sci. Eng. (Singapore), vol 7 no. 6 (1997), pp. 1337 - 57 [S0218127497001060] [abs]. - Murphy, K.D. and Virgin, L.N. and Rizzi, S.A.,
*The effect of thermal prestress on the free vibration characteristics of clamped rectangular plates: theory and experiment*, Trans. ASME. J. Vib. Acoust. (USA), vol 119 no. 2 (1997), pp. 243 - 9 [abs]. - Todd, M.D. and Virgin, L.N.,
*An experimental impact oscillator*, Chaos Solitons Fractals (UK), vol 8 no. 4 (1997), pp. 699 - 714 [S0960-0779(96)00112-9] [abs]. - Murphy, K.D. and Virgin, L.N. and Rizzi, S.A.,
*Experimental snap-through boundaries for acoustically excited, thermally buckled plates*, Experimental Mechanics, vol 36 no. 4 (1996), pp. 312 - 317 [abs]. - Todd, M.D. and Virgin, L.N.,
*Natural frequency considerations of an impact oscillator*, Journal of Sound and Vibration, vol 194 no. 3 (1996), pp. 452 - 460 [0370] [abs]. - Donescu, P. and Virgin, L.N. and Wu, J.J.,
*Periodic solutions of an unsymmetric oscillator including a comprehensive study of their stability characteristics*, Journal of Sound and Vibration, vol 192 no. 5 (1996), pp. 959 - 976 [0228] [abs]. - P. Donescu and L.N. Virgin,
*Efficient determination of higher-order periodic solutions using n-mode harmonic balance*, IMA Journal of Applied Mathematics (Institute of Mathematics & Its Applications), vol 56 no. 1 (1996), pp. 21 - 32 [abs]. - Murphy, K.D. and Virgin, L.N. and Rizzi, S.A.,
*Characterizing the dynamic response of a thermally loaded, acoustically excited plate*, Journal of Sound and Vibration, vol 196 no. 5 (1996), pp. 635 - 658 [0506] [abs]. - Virgin, L.N. and Fielder, W.T. and Plaut, R.H.,
*Transient motion and overturning of a rocking block on a seesawing foundation*, Journal of Sound and Vibration, vol 191 no. 1 (1996), pp. 177 - 187 [0114] [abs]. - Plaut, R.H. and Fielder, W.T. and Virgin, L.N.,
*Fractal behavior of an asymmetric rigid block overturning due to harmonic motion of a tilted foundation*, Chaos, Solitons and Fractals, vol 7 no. 2 (1996), pp. 177 - [0960-0779(95)00059-3]. - Todd, M.D. and Virgin, L.N. and Gottwald, J.A.,
*Nonstationary transition through resonance*, Nonlinear Dynamics, vol 10 no. 1 (1996), pp. 31 - 48 [abs]. - M.D. Conner, P. Donescu and L.N. Virgin,,
*On the global convergence characteristics of numerically evaluated Jacobian matrices*, Nonlinear Dynamics, vol 10 no. 2 (1996), pp. 165 - 174 [abs]. - Todd, M.D. and Virgin, L.N.,
*Natural frequency considerations of an impact oscillator*, J. Sound Vib. (UK), vol 194 no. 3 (1996), pp. 452 - 60 [0370] [abs]. - Plaut, R.H. and Murphy, K.D. and Virgin, L.N.,
*Curve and surface veering for a braced column*, J. Sound Vib. (UK), vol 187 no. 5 (1995), pp. 879 - 85 [0570] [abs]. - Gottwald, J.A. and Virgin, L.N. and Dowell, E.H.,
*Routes to escape from an energy well*, J. Sound Vib. (UK), vol 187 no. 1 (1995), pp. 133 - 44 [0506] [abs]. - Begley, C.J. and Virgin, L.N.,
*Comparison of piecewise linear and continuous approximating models*, Mechanics Research Communications, vol 22 no. 6 (1995), pp. 527 - [0093-6413(95)00057-7]. - Gottwald, J.A., Virgin, L.N. and Dowell, E.H.,
*Routes to escape from an energy well*, Journal of Sound and Vibration, vol 187 no. 1 (1995), pp. 133 - [0506]. - Virgin, L.N. and Walsh, T.F. and Knight, J.D.,
*Nonlinear behavior of a magnetic bearing system*, Trans. ASME, J. Eng. Gas Turbines Power (USA), vol 117 no. 3 (1995), pp. 582 - 8 [abs]. - Virgin, L.N. and Murphy, K.D.,
*On the behavior of characteristic multipliers through a period-doubling sequence*, Journal of Sound and Vibration, vol 169 no. 5 (1994), pp. 699 - 703 [1042] [abs]. - Murphy, K.D. and Bayly, P.V. and Virgin, L.N. and Gottwald, J.A.,
*Measuring the stability of periodic attractors using perturbation-induced transients: applications to two non-linear oscillators*, Journal of Sound and Vibration, vol 172 no. 1 (1994), pp. 85 - 102 [1160] [abs]. - Virgin, L.N. and Erickson, B.K.,
*New approach to the overturning stability of floating structures*, Ocean Engineering (Pergamon), vol 21 no. 1 (1994), pp. 67 - 80 [0029-8018(94)90030-2] [abs]. - Bayly, P.V. and Virgin, L.N.,
*Practical considerations in the control of chaos*, Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top. (USA), vol 50 no. 1 (1994), pp. 604 - 7 [604] [abs]. - Murphy, K.D. and Bayly, P.V. and Virgin, L.N. and Gottwald, J.A.,
*Measuring the stability of periodic attractors using perturbation-induced transients: applications to two non-linear oscillators*, J. Sound Vib. (UK), vol 172 no. 1 (1994), pp. 85 - 102 [1160] [abs]. - Bayly, P.V. and Virgin, L.N.,
*An empirical study of the stability of periodic motion in the forced spring-pendulum*, Proc. R. Soc. Lond. A, Math. Phys. Sci. (UK), vol 443 no. 1918 (1993), pp. 391 - 408 [abs]. - R. Reynolds, L.N. Virgin and E.H. Dowell,
*High-dimensional chaos cab lead to weak turbulence*, Nonlinear Dynamics, vol 4 no. 6 (1993), pp. 531 - 546 [abs]. - Bayly, P.V. and Virgin, L.N.,
*Experimental study of an impacting pendulum*, Journal of Sound and Vibration, vol 164 no. 2 (1993), pp. 364 - 374 [1220] [abs]. - Virgin, L.N.,
*Dynamic characteristics of deteriorating engineering structures*, Applied Mechanics Reviews, vol 46 no. 5 (1993), pp. 220 - 226 [abs]. - Virgin, L.N. and Plaut, R.H.,
*Effect of axial load on for CED vibrations of beams*, Journal of Sound and Vibration, vol 168 no. 3 (1993), pp. 395 - 405 [1382] [abs]. - Bayly, Philip V. and Virgin, Lawrence N.,
*On the stability of forced radial oscillations of an experimental spring pendulum*, American Society of Mechanical Engineers, Design Engineering Division (Publication) DE, vol 56 (1993), pp. 229 - 236 [abs]. - Bayly, P.V. and Virgin, L.N.,
*An experimental study of an impacting pendulum*, J. Sound Vib. (UK), vol 164 no. 2 (1993), pp. 364 - 74 [1220] [abs]. - Bayly, P.V. and Virgin, L.N.,
*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), vol 2 no. 4 (1992), pp. 983 - 8 [abs]. - Gottwald, J.A. and Virgin, L.N. and Dowell, E.H.,
*Experimental mimicry of Duffing's equation*, J. Sound Vib. (UK), vol 158 no. 3 (1992), pp. 447 - 67 [0022-460X(92)90419-X] [abs]. - L.N. Virgin and L.A. Cartee,
*Note on the escape from a potential well*, International Journal of Non-Linear Mechanics, vol 26 no. 3-4 (1991), pp. 449 - 452 [0020-7462(91)90074-4] [abs]. - Dowell, E.H. and Virgin, L.N.,
*On spatial chaos, asymptotic modal analysis, and turbulence*, Trans. ASME, J. Appl. Mech. (USA), vol 57 no. 4 (1990), pp. 1094 - 7 [abs]. - Virgin, L.N. and Bishop, S.R.,
*Catchment regions of multiple dynamic responses in nonlinear problems of offshore mechanics*, Journal of Offshore Mechanics and Arctic Engineering, vol 112 no. 2 (1990), pp. 127 - 133 [abs]. - R.H. Plaut and L.N. Virgin,
*Use of frequency data to predict buckling*, Journal of Engineering Mechanics, vol 116 no. 10 (1990), pp. 2330 - 2339 [abs]. - L.N. Virgin,
*Approximate criterion for capsize based on deterministic dynamics*, Dynamics and Stability of Systems, vol 4 no. 1 (1989), pp. 55 - 70 [abs]. - Bishop, S. R. and Virgin, L. N.,
*ONSET OF CHAOTIC MOTIONS OF A MOORED SEMI-SUBMERSIBLE.*, Journal of Offshore Mechanics and Arctic Engineering, vol 110 no. 3 (1988), pp. 205 - 209 [abs]. - S.R. Bishop, L.N. Virgin and D.M. Leung,
*On the computation of domains of attraction during the dynamic modelling of oscillating systems*, Applied Mathematical Modelling, vol 12 no. 5 (1988), pp. 503 - 516 [0307-904X(88)90088-1] [abs]. - Virgin, L. N. and Bishop, S. R.,
*COMPLEX DYNAMICS AND CHAOTIC RESPONSES IN THE TIME DOMAIN SIMULATIONS OF A FLOATING STRUCTURE.*, Ocean Engineering (Pergamon), vol 15 no. 1 (1988), pp. 71 - 90 [0029-8018(88)90020-0] [abs]. - Virgin, L.N.,
*On the harmonic Response of an oscillator with unsymmetric restoring force*, Journal of Sound and Vibration, vol 126 no. 1 (1988), pp. 157 - 165 [0022-460X(88)90405-1] [abs]. - Thompson, J.M.T. and Virgin, L.N.,
*Spatial chaos and localization phenomena in nonlinear elasticity*, Phys. Lett. A (Netherlands), vol 126 no. 8-9 (1988), pp. 491 - 6 [0375-9601(88)90045-X] [abs]. - Bishop, S. R. and Leung, L. M. and Virgin, L. N.,
*PREDICTING INCIPIENT JUMPS TO RESONANCE OF COMPLIANT MARINE STRUCTURES IN AN EVOLVING SEA-STATE.*, Journal of Offshore Mechanics and Arctic Engineering, vol 109 no. 3 (1987), pp. 223 - 228 [abs]. - Virgin, L. N.,
*FREE VIBRATIONS OF IMPERFECT CANTILEVER BARS UNDER SELF-WEIGHT LOADING.*, Proceedings of the Institution of Mechanical Engineers, Part C: Mechanical Engineering Science, vol 201 no. C5 (1987), pp. 345 - 347 [abs]. - Virgin, L. N.,
*NONLINEAR ROLLING RESPONSE OF A VESSEL INCLUDING CHAOTIC MOTIONS LEADING TO CAPSIZE IN REGULAR SEAS.*, Applied Ocean Research, vol 9 no. 2 (1987), pp. 89 - 95 [0141-1187(87)90011-3] [abs]. - Virgin, L.N.,
*Parametric studies of the dynamic evolution through a fold*, J. Sound Vib. (UK), vol 110 no. 1 (1986), pp. 99 - 109 [abs]. - Virgin, L. N.,
*POSTBUCKLING DYNAMICS OF STRUTS AS RELATED TO THEIR LOADING DEVICES.*, Engineering Structures, vol 8 no. 2 (1986), pp. 127 - 133 [abs]. - Thompson, J. M. T. and Virgin, L. N.,
*PREDICTING A JUMP TO RESONANCE USING TRANSIENT MAPS AND BEATS.*, International Journal of Non-Linear Mechanics, vol 21 no. 3 (1986), pp. 205 - 216 [0020-7462(86)90004-1] [abs]. - Virgin, Lawrence N.,
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