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.
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.
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.
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.
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.
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.
L.N. Virgin (2000), “Introduction to Experimental
Nonlinear Dynamics” Cambridge University Press. (see separate listing
above).
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.
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.
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," Mechanical 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.
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.
Nonlinear
Dynamics Group Recent Publications