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Journal Articles

Parametric Resonance of a Two Degrees-of-Freedom System Induced by Bounded Noise

Jinyu Zhu, W.-C. Xie, Ronald M. C. So, X. Q. Wang
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. July 2009, 76(4): 041007.
https://doi.org/10.1115/1.2999427
Published Online: April 22, 2009
View Articletitled, Parametric Resonance of a Two Degrees-of-Freedom System Induced by Bounded Noise
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Topics: Noise (Sound), Resonance, Excitation, Degrees of freedom, Eigenvalues, Stability
Journal Articles

Localization of Vibration Propagation in Two-Dimensional Systems With Multiple Substructural Modes

W.-C. Xie, Professor
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Additional Technical Papers
J. Appl. Mech. January 2003, 70(1): 119–128.
https://doi.org/10.1115/1.1507766
Published Online: January 23, 2003
View Articletitled, Localization of Vibration Propagation in Two-Dimensional Systems With Multiple Substructural Modes
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Topics: Cantilevers, Springs, Vibration
Journal Articles

Moment Lyapunov Exponents of a Two-Dimensional Viscoelastic System Under Bounded Noise Excitation

W.-C. Xie, Associate Professor
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. May 2002, 69(3): 346–357.
https://doi.org/10.1115/1.1445143
Published Online: May 3, 2002
View Articletitled, Moment Lyapunov Exponents of a Two-Dimensional Viscoelastic System Under Bounded Noise Excitation
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Topics: Eigenvalues, Excitation, Noise (Sound), Stability, Viscoelasticity
Journal Articles

Lyapunov Exponents and Moment Lyapunov Exponents of a Two-Dimensional Near-Nilpotent System

W.-C. Xie, Associate Professor,
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. May 2001, 68(3): 453–461.
https://doi.org/10.1115/1.1364491
Published Online: November 8, 2000
View Articletitled, Lyapunov Exponents and Moment Lyapunov Exponents of a Two-Dimensional Near-Nilpotent System
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Topics: Approximation, Bifurcation, Boundary-value problems, Eigenvalues, Damping, Relaxation (Physics)
Journal Articles

Stochastic Sample Stability of Oscillatory Systems

S. T. Ariaratnam, W.-C. Xie
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. June 1988, 55(2): 458–460.
https://doi.org/10.1115/1.3173699
Published Online: June 1, 1988
View Articletitled, Stochastic Sample Stability of Oscillatory Systems
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Topics: Stability, Damping, Noise (Sound)