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Publications

Arranged first by year then first author.

2009

  • 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) . 

2008

  • 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 (2008)

2007

  • L.N. Virgin, D.B. Holland and S. Santillan, Effect of gravity on the vibration of vertical cantilevers’, 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 . 
  • R.B. Davis, L.N. Virgin and A.M. Brown, Cylindrical shell submerged in bounded acoustic media: a modal approach, AIAA Journal, vol. 46 (2007), pp. 752-763
  • 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.

2006  

  • 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]
  • 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] 
  • Holland, David B. and Stanciulescu, Ilinca and Virgin, Lawrence N. and Plaut, Raymond H., Vibration and large deflection of cantilevered elastica compressed by angled cable, AIAA Journal, vol. 44 no. 7 (2006), pp. 1468 - 1476 
  • Chen, Hui and Virgin, Lawrence N., 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] 
  • Plaut, Raymond H. and Dillard, David A. and Virgin, Lawrence N., 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)] 
  • S. Santillan, L.N. Virgin and R.H. Plaut, Postbuckling and vibration of heavy beam on horizontal or inclined rigid foundation’, Journal of Applied Mechanics, vol. 73 (2006), pp. 664-671

2005

  • Holland, David B. and Stanciulescu, Ilinca and Virgin, Lawrence N. and Plaut, Raymond H., Vibration and large deflection of a beam-cable system, Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, vol. 3 (2005), pp. 2130 - 2142  
  • 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]  
  • Stanciulescu, Ilinca and Virgin, Lawrence N. and Laursen, Tod A., Finite element analysis of slender solar sail booms, Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, vol. 3 (2005), pp. 2121 - 2129 .  
  • Xie, Jianhua and Ding, Wangcai and Dowell, E.H. and Virgin, L.N., 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 
  • 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] 
  • 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] 

2004

  • H. Chen and L.N. Virgin (2004) "Dynamic analysis of modal shifting and mode jumping in thermally buckled plates," Journal of Sound and Vibration, 278, pp. 233-256.
  • R.H. Plaut and L.N. Virgin (2004) "Three-dimensional postbuckling and vibration of vertical half-loop under self-weight," International Journal of Solids and Structures, 41, pp. 4975-4988.
  • S. Santillan, L.N. Virgin and R.H. Plaut (2004) "Equilibria and vibration of a heavy pinched loop," accepted for publication in Journal of Sound and Vibration.

 

2003

  • J.M. Nichols and L.N. Virgin (2003) "System identification through chaotic interrogation," Mechanical Systems and Signal Processing, 17, pp. 871-881.
  • L.N. Virgin and R.B. Davis (2003) "Vibration isolation using buckled structures," Journal of Sound and Vibration, 260, pp. 965-973.
  • L.N. Virgin, J.M. Nichols and S.T. Trickey (2003) "A note on the response spectrum map," International Journal of Bifurcation and Chaos, 13, pp. 1337-1341.
  • J.M. Nichols, M.D. Todd, S.T. Trickey and L.N. Virgin (2003) "Structural health monitoring through chaotic interrogation," Mechannica, 38, pp. 239-250.
  • J.M. Nichols, M.D. Todd, L.N. Virgin and J.D. Nichols (2003) "On the use of attractor dimension as a feature in structural health monitoring," Mechanica Systems and Signals Processing, 17, pp.1305-1320.
  • J.M. Nichols, M.D. Todd, M. Seaver and L.N. Virgin (2003) "Use of chaotic excitation and attractor property analysis in structural health monitoring," Physical Review E, 67, 016209.

 

2002

  • L.N. Virgin and R.H. Plaut (2002) "Use of frequency data to predict secondary bifurcation," Journal of Sound and Vibration, 251, pp. 919-926.
  • S.T. Trickey, L.N. Virgin and E.H. Dowell (2002) "The stability of limit cycle oscillations in a nonlinear aeroelastic system," Proceedings of the Royal Society of London, 458, pp. 2203-2226.

 

2001

  • P. Donescu and L.N. Virgin (2001) "A fully implicit and consistent linearization solution for the nonlinear fluid-structure interaction of floating bodies," International Journal for Numerical Methods in Engineering, 51, pp. 379-412.
  • C.J. Begley and L.N. Virgin (2001) "On the OGY control of an impact-friction oscillator," Journal of Vibration and Control, 7, pp. 923-931.
  • M.D. Todd, J.M. Nichols, L.M. Pecora and L.N. Virgin (2001) "Vibration-based damage assessment utilizing state space geometry changes: local attractor variance ratio," Smart Materials and Structures, 10, pp. 1000-1008.
  • J.M. Nichols and L.N. Virgin (2001) "On the practical evaluation of invariant measures of the chaotic response of a mechanical oscillator," Nonlinear Dynamics, 26, pp. 67-86.
  • J.M. Nichols, L.N. Virgin and H. P. Gavin (2001) "Damping estimates from experimental nonlinear time series," Journal of Sound and Vibration, 246, pp. 815-827.

2000

  •  L.N. Virgin (2000), “Introduction to Experimental Nonlinear Dynamics” Cambridge University Press.

 

1999

  • L.N. Virgin, E.H. Dowell and M.D. Conner (1999) "On the evolution of deterministic non-periodic behavior of an airfoil," International Journal of Non-Linear Mechanics, 34, pp. 499-514.
  • D. M. Tang, E.H. Dowell and L.N. Virgin (1999) "Limit cycle behavior of an airfoil with a control surface," Journal of Fluids and Structures, 12, pp. 839-858.
  • L.N. Virgin and C.J. Begley (1999) "Grazing bifurcations and basins of attraction in an impact-friction oscillator," Physica D, 130, pp. 43-57.

 

1998

  • C.J. Begley and L.N. Virgin (1998) 'Impact response and the influence of friction,' Journal of Sound and Vibration, 211, pp. 801-818.
  • B.I. Epureanu, S.T. Trickey, E.H. Dowell (1998) "Stabilization of Unstable Limit Cycles in systems with limited controllability: Expanding the basin of convergence of OGY-type controllers," Nonlinear Dynamics.
  • H. Hu, E.H. Dowell and L.N. Virgin (1998) 'Resonances of a harmonically forced Duffing oscillator with time-delay state feedback,' Nonlinear Dynamics, 15, pp. 311-327.
  • H. Hu, E.H. Dowell and L.N. Virgin (1998) 'Stability estimation of high dimensional vibrating systems under state delay feedback control,' Journal of Sound and Vibration , 214, pp. 497-512.
  • D. M. Tang, E.H. Dowell and L.N. Virgin (1998) 'Limit cycle behavior of an airfoil with a control surface,' Journal of Fluids and Strcutures, 12, pp. 839-858.
  • S.T. Trickey, L.N. Virgin (1998) "Bottlenecking Phenomenon near a Saddle-node remnant in a Duffing oscillator", Physics Letters, 248, pp. 185-190.
  • L.N. Virgin, S.T. Trickey, M.D. Todd, C.J. Begley and E.H. Dowell (1998) 'Basins of attraction in experimental nonlinear oscillators,' International Journal of Bifurcation and Chaos, 8, pp. 521-534.
  • L.N. Virgin, E.H. Dowell and M.D. Conner (1998) 'On the evolution of deterministic non-periodic behavior of an airfoil,' International Journal of Nonlinear Mechanics, 34, pp. 499-514.

 

1997

  • C. Begley and L.N. Virgin (1997) 'A detailed study of the low-frequency periodic behavior of a dry friction oscillator,' ASME Journal of Dynamic Systems, Measurements and Control, 119, pp. 491-497.
  • M.D. Conner, D.M. Tang, E.H. Dowell and L.N. Virgin (1997) 'Nonlinear behavior of a typical airfoil section with control surface freeplay,' Journal of Fluids and Structures, 11, pp. 89-109.
  • E.H. Dowell, K. C. Hall and M. C. Romanowski (1997) "Eigenmode Analysis in Unsteady Aerodynamics: Reduced Order Models," Applied Mechanics Reviews, Vol. 50, No. 6, pp. 371-385.
  • E.H. Dowell, J. S. Vipperman, R. L. Clark, and M. D. Conner (1997) "Investigation of The Experimental Active Control of A Typical Section Airfoil Using A Trailing Edge Flap," AIAA, pp. 180-189.
  • W.T. Fielder, L.N. Virgin and R.H. Plaut (1997) 'Experiments and simulation of overturning of an asymmetric rocking block on an oscillating foundation,' European Journal of Mechanics A (Solids), 16, pp. 905-923.
  • K.D. Murphy, L.N. Virgin and S.A. Rizzi (1997) 'The effect of temperature on the free vibration characteristics of clamped rectangular plates: Theory and experiment,' ASME Journal of Vibration and Acoustics, 119, pp. 243-249.
  • K.N. Slade, L.N. Virgin and P.V. Bayly (1997) 'Extracting information from inter-impact intervals in a mechanical oscillator,' Physical Review E, 56, pp. 3705-3708.
  • M.D. Todd and L.N. Virgin (1997) 'An experimental impact oscillator,' Chaos, Solitons and Fractals, 8, pp. 699-715.
  • M.D.Todd and L.N. Virgin (1997) 'An experimental verification of basin metamorphoses in a nonlinear mechanical system,' International Journal of Bifurcation and Chaos, 7, pp. 1337-1357.

 

1996

  • M.D. Conner, L.N. Virgin and E.H. Dowell (1996) 'Accurate numerical integration of state-space models for aeroelastic systems with freeplay,' AIAA Journal, 34, pp. 2202-2205.
  • M.D. Conner, P. Donescu, and L.N. Virgin (1996) 'On the global convergence characteristics of numerically evaluated Jacobian matrices,' Nonlinear Dynamics, 10, pp. 165-174.
  • P. Donescu and L.N. Virgin (1996) 'Efficient determination of higher-order periodic solutions using n-mode harmonic balance,' IMA Journal of Applied Mathematics, 56, pp. 21-32.
  • P. Donescu, L.N. Virgin and J.J. Wu (1996) 'Periodic solutions of an unsymmetric oscillator including a comprehensive study of their stability characteristics,' Journal of Sound and Vibration, 192, pp. 959-976.
  • K.D. Murphy, L.N. Virgin and S.A. Rizzi (1996) 'Characterizing the dynamic response of a thermally loaded, acoustically excited plate,' Journal of Sound and Vibration, 196, pp. 635-658.
  • K.D. Murphy, L.N. Virgin and S.A. Rizzi (1996) 'Experimental snap-through boundaries for acoustically excited, thermally buckled plates,' Experimental Mechanics, 36, pp. 312-317.
  • R.H. Plaut, W.T. Fielder and L.N. Virgin (1996) 'Fractal behavior of an asymmetric block overturning due to harmonic motion of a tilted base foundation,' Chaos, Solitons and Fractals, 7, pp. 177-196.
  • M.D. Todd, L.N. Virgin and J.A. Gottwald (1996) 'The nonstationary transition through resonance,' Nonlinear Dynamics, 10, pp. 31-48.
  • M.D. Todd and L.N. Virgin (1996) 'Natural frequency considerations of an impact oscillator,' Journal of Sound and Vibration, 194, pp. 452-460.
  • L.N. Virgin, W.T. Fielder and R.H. Plaut (1996) 'Transient motion and overturning of a rocking block on a seesawing foundation,' Journal of Sound and Vibration, 191, pp. 177-187.

1995

  • C.J. Begley and L.N. Virgin (1995) 'A comparison of piecewise linear and continuous approximating models,' Mechanics Research Communications, 22, pp. 527-532.
  • J.A. Gottwald, L.N. Virgin and E.H. Dowell (1995) 'Routes to escape from an energy well,' Journal of Sound and Vibration, 187, pp. 133-144.
  • R.H. Plaut, K.D. Murphy and L.N. Virgin (1995) 'Eigenvalue curve and surface veering,' Journal of Sound and Vibration, 187, pp. 879-885.
  • L.N. Virgin, J.D. Knight and T.F. Walsh (1995) 'Nonlinear behavior of a magnetic bearing system,' ASME Journal of Engineering for Gas Turbines and Power, 117, pp. 582-588.

1994

  • P.V. Bayly and L.N. Virgin (1994) 'Practical considerations in the control of chaos,' Physical Review E, 50, pp. 604-607.
  • K.D. Murphy, P.V. Bayly, L.N. Virgin and J.A. Gottwald (1994) 'Measuring the stability of periodic attractors using perturbation induced transients: Applications to two nonlinear oscillators,' Journal of Sound and Vibration, 172, pp. 85-102.
  • L.N. Virgin and B. K. Erickson (1994) 'A new approach to the overturning stability of floating structures,' Ocean Engineering, 21, pp. 67-80.
  • L.N. Virgin and K.D. Murphy (1994) 'On the behavior of characteristic multipliers through a period-doubling sequence,' Journal of Sound and Vibration, 169, pp. 699-703.