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Proc. ASME. IDETC-CIE2015, Volume 6: 11th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, V006T10A043, August 2–5, 2015

Paper No: DETC2015-46106

DOI: https://doi.org/10.1115/DETC2015-46106

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Topics: Nonlinear systems, Bifurcation, Computer simulation, Displacement, Energy budget (Physics), Harmonic motion, Springs

Journal Articles

Characterizing Dynamic Transitions Associated With Snap-Through: A Discrete System

R. Wiebe, L. N. Virgin, I. Stanciulescu, S. M. Spottswood, T. G. Eason

J. Comput. Nonlinear Dynam. January 2013, 8(1): 011010.

Paper No: CND-11-1223

DOI: https://doi.org/10.1115/1.4006201

Published Online: June 14, 2012

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Topics: Aircraft, Attractors, Buckling, Chaos, Discrete systems, Dynamic response, Equilibrium (Physics), Excitation, Oscillations, Potential energy

Journal Articles

Vibration and Snap-Through of Bent Elastica Strips Subjected to End Rotations

R. H. Plaut, L. N. Virgin

J. Appl. Mech. July 2009, 76(4): 041011.

DOI: https://doi.org/10.1115/1.3086783

Published Online: April 23, 2009

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Topics: Equilibrium (Physics), Strips, Vibration, Rotation, Shapes

Journal Articles

A Reflection on Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields by J. Guckenheimer and P. J. Holmes

L. N. Virgin

J. Comput. Nonlinear Dynam. October 2006, 1(4): 277–278.

DOI: https://doi.org/10.1115/1.2338659

Published Online: October 1, 2006

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Topics: Bifurcation, Dynamic systems, Oscillations, Reflection

Journal Articles

Post-bauckling and Vibration of Heavy Beam on Horizontal or Inclined Rigid Foundation

S. T. Santillan, L. N. Virgin, R. H. Plaut

J. Appl. Mech. July 2006, 73(4): 664–671.

DOI: https://doi.org/10.1115/1.2165237

Published Online: October 27, 2005

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Topics: Equilibrium (Physics), Shapes, Strips, Vibration, Weight (Mass), Buckling

Journal Articles

A Detailed Study of the Low-Frequency Periodic Behavior of a Dry Friction Oscillator

C. J. Begley, L. N. Virgin

J. Dyn. Sys., Meas., Control. September 1997, 119(3): 491–497.

DOI: https://doi.org/10.1115/1.2801284

Published Online: September 1, 1997

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Topics: Dry friction, Friction, Damping, Springs, Stability

Journal Articles

The Effect of Thermal Prestress on the Free Vibration Characteristics of Clamped Rectangular Plates: Theory and Experiment

K. D. Murphy, L. N. Virgin, S. A. Rizzi

J. Vib. Acoust. April 1997, 119(2): 243–249.

DOI: https://doi.org/10.1115/1.2889710

Published Online: April 1, 1997

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Topics: Free vibrations, Plates (structures), Buckling, Temperature

Journal Articles

Nonlinear Behavior of a Magnetic Bearing System

L. N. Virgin, T. F. Walsh, J. D. Knight

J. Eng. Gas Turbines Power. July 1995, 117(3): 582–588.

DOI: https://doi.org/10.1115/1.2814135

Published Online: July 1, 1995

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Topics: Magnetic bearings, Computer simulation, Degrees of freedom, Differential equations, Feedback, Free vibrations, Stability

Journal Articles

Catchment Regions of Multiple Dynamic Responses in Nonlinear Problems of Offshore Mechanics

L. N. Virgin, S. R. Bishop

J. Offshore Mech. Arct. Eng. May 1990, 112(2): 127–133.

DOI: https://doi.org/10.1115/1.2919846

Published Online: May 1, 1990

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Topics: Attractors, Computation, Differential equations, Dynamic analysis, Dynamic response, Dynamic systems, Mooring, Nonlinear dynamics, Offshore mechanics, Offshore structures

Journal Articles

The Onset of Chaotic Motions of a Moored Semi-Submersible

S. R. Bishop, L. N. Virgin

J. Offshore Mech. Arct. Eng. August 1988, 110(3): 205–209.

DOI: https://doi.org/10.1115/1.3257052

Published Online: August 1, 1988

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Topics: Mooring, Semi-submersible offshore structures, Chaos, Computers, Nonlinear differential equations, Resonance, Seas, Simulation, Steady state

Journal Articles

Predicting Incipient Jumps to Resonance of Compliant Marine Structures in an Evolving Sea-State

S. R. Bishop, L. M. Leung, L. N. Virgin

J. Offshore Mech. Arct. Eng. August 1987, 109(3): 223–228.

DOI: https://doi.org/10.1115/1.3257013

Published Online: August 1, 1987

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Topics: Marine structures, Resonance, Seas, Bifurcation, Mooring, Vessels, Engineers, Ocean engineering, Ocean waves, Oscillations

Journal citation

NARROW

An Investigation of a Rocking-Sliding Block

On the Response of a Shaken Cable-Suspended Mass

Experiments on Probing the Configuration Space of Post-Buckled Panels

Isolated Response Curves in a Base-Excited, Two-Degree-of-Freedom, Nonlinear System

Characterizing Dynamic Transitions Associated With Snap-Through: A Discrete System

Vibration and Snap-Through of Bent Elastica Strips Subjected to End Rotations

A Reflection on Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields by J. Guckenheimer and P. J. Holmes

Post-bauckling and Vibration of Heavy Beam on Horizontal or Inclined Rigid Foundation

A Detailed Study of the Low-Frequency Periodic Behavior of a Dry Friction Oscillator

The Effect of Thermal Prestress on the Free Vibration Characteristics of Clamped Rectangular Plates: Theory and Experiment

Nonlinear Behavior of a Magnetic Bearing System

Catchment Regions of Multiple Dynamic Responses in Nonlinear Problems of Offshore Mechanics

The Onset of Chaotic Motions of a Moored Semi-Submersible

Predicting Incipient Jumps to Resonance of Compliant Marine Structures in an Evolving Sea-State

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