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W. D. Zhu
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Journal Articles

Quasi-Periodic Solutions of a Damped Nonlinear Quasi-Periodic Mathieu Equation by the Incremental Harmonic Balance Method With Two Time Scales

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J. L. Huang, B. X. Zhang, W. D. Zhu
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. September 2022, 89(9): 091009.
Paper No: JAM-22-1091
https://doi.org/10.1115/1.4055086
Published Online: August 17, 2022
View Articletitled, Quasi-Periodic Solutions of a Damped Nonlinear Quasi-Periodic Mathieu Equation by the Incremental Harmonic Balance Method With Two Time Scales
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Topics: Excitation, Quadratic programming, Spectra (Spectroscopy), Stability
Journal Articles

Controlling Out-of-Plane Elastic Shear Wave Propagation With Broadband Cloaking

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M. Liu, W. D. Zhu
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. August 2018, 85(8): 081002.
Paper No: JAM-18-1128
https://doi.org/10.1115/1.4040017
Published Online: May 21, 2018
View Articletitled, Controlling Out-of-Plane Elastic Shear Wave Propagation With Broadband Cloaking
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Topics: Membranes, Shear waves, Displacement, Design, Density, Materials properties, Trajectories (Physics), Wave propagation
Journal Articles

Dynamic Analysis of an Elevator Traveling Cable Using a Singularity-Free Beam Formulation

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W. Fan, W. D. Zhu
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Briefs
J. Appl. Mech. April 2017, 84(4): 044502.
Paper No: JAM-16-1317
https://doi.org/10.1115/1.4035857
Published Online: March 2, 2017
View Articletitled, Dynamic Analysis of an Elevator Traveling Cable Using a Singularity-Free Beam Formulation
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Topics: Cables, Elevators, Mode shapes, Equilibrium (Physics)
Journal Articles

A New Spatial and Temporal Harmonic Balance Method for Obtaining Periodic Steady-State Responses of a One-Dimensional Second-Order Continuous System

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X. F. Wang, W. D. Zhu
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Briefs
J. Appl. Mech. January 2017, 84(1): 014501.
Paper No: JAM-15-1567
https://doi.org/10.1115/1.4034011
Published Online: October 18, 2016
View Articletitled, A New Spatial and Temporal Harmonic Balance Method for Obtaining Periodic Steady-State Responses of a One-Dimensional Second-Order Continuous System
Open the PDF for A New Spatial and Temporal Harmonic Balance Method for Obtaining Periodic Steady-State Responses of a One-Dimensional Second-Order Continuous System in another window
Topics: Boundary-value problems, Stability, Steady state, String, Jacobian matrices, Springs
Journal Articles

Nonlinear Dynamics of a High-Dimensional Model of a Rotating Euler–Bernoulli Beam Under the Gravity Load

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J. L. Huang, W. D. Zhu
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. October 2014, 81(10): 101007.
Paper No: JAM-13-1479
https://doi.org/10.1115/1.4028046
Published Online: August 14, 2014
View Articletitled, Nonlinear Dynamics of a High-Dimensional Model of a Rotating Euler–Bernoulli Beam Under the Gravity Load
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Topics: Frequency response, Gravity (Force), Stability, Stress, Bifurcation
Journal Articles

Parametric Instability in a Taut String With a Periodically Moving Boundary

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K. Wu, W. D. Zhu
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. June 2014, 81(6): 061002.
Paper No: JAM-13-1345
https://doi.org/10.1115/1.4026181
Published Online: January 30, 2014
View Articletitled, Parametric Instability in a Taut String With a Periodically Moving Boundary
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Topics: Finite difference methods, String, Waves
Journal Articles

Dynamic Stability of a Class of Second-Order Distributed Structural Systems With Sinusoidally Varying Velocities

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W. D. Zhu, K. Wu
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research-Article
J. Appl. Mech. November 2013, 80(6): 061008.
Paper No: JAM-12-1429
https://doi.org/10.1115/1.4023638
Published Online: August 19, 2013
View Articletitled, Dynamic Stability of a Class of Second-Order Distributed Structural Systems With Sinusoidally Varying Velocities
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Topics: String, Waves
Journal Articles

Dynamic Stability of a Translating String With a Sinusoidally Varying Velocity

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W. D. Zhu, X. K. Song, N. A. Zheng
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. November 2011, 78(6): 061021.
https://doi.org/10.1115/1.4003908
Published Online: September 15, 2011
View Articletitled, Dynamic Stability of a Translating String With a Sinusoidally Varying Velocity
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Topics: String, Waves, Bifurcation, Displacement, Reflection
Journal Articles

A Nonlinear Model of a Slack Cable With Bending Stiffness and Moving Ends With Application to Elevator Traveling and Compensation Cables

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W. D. Zhu, H. Ren, C. Xiao
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. July 2011, 78(4): 041017.
https://doi.org/10.1115/1.4003348
Published Online: April 15, 2011
View Articletitled, A Nonlinear Model of a Slack Cable With Bending Stiffness and Moving Ends With Application to Elevator Traveling and Compensation Cables
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Topics: Cables, Elevators, Equilibrium (Physics), Finite element methods, Stiffness
Journal Articles

Exact Response of a Translating String With Arbitrarily Varying Length Under General Excitation

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W. D. Zhu, N. A. Zheng
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. May 2008, 75(3): 031003.
https://doi.org/10.1115/1.2839903
Published Online: March 5, 2008
View Articletitled, Exact Response of a Translating String With Arbitrarily Varying Length Under General Excitation
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Topics: String, Excitation, Waves, Boundary-value problems, Displacement, Elevators
Journal Articles

Free and Forced Vibration of an Axially Moving String With an Arbitrary Velocity Profile

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W. D. Zhu, B. Z. Guo
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. December 1998, 65(4): 901–907.
https://doi.org/10.1115/1.2791932
Published Online: December 1, 1998
View Articletitled, Free and Forced Vibration of an Axially Moving String With an Arbitrary Velocity Profile
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Topics: String, Vibration, Displacement, Excitation, Shapes
Journal Articles

Asymptotic Distribution of Eigenvalues of a Constrained Translating String

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W. D. Zhu, C. D. Mote, Jr., B. Z. Guo
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. September 1997, 64(3): 613–619.
https://doi.org/10.1115/1.2788937
Published Online: September 1, 1997
View Articletitled, Asymptotic Distribution of Eigenvalues of a Constrained Translating String
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Topics: Eigenvalues, String, Damping, Emission spectroscopy, Numerical analysis, Shock absorbers, Spectroscopy, Springs, Vibration
Journal Articles

Propagation of Boundary Disturbances in an Axially Moving Strip in Contact With Rigid and Flexible Constraints

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W. D. Zhu, C. D. Mote, Jr.
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. December 1995, 62(4): 873–879.
https://doi.org/10.1115/1.2896014
Published Online: December 1, 1995
View Articletitled, Propagation of Boundary Disturbances in an Axially Moving Strip in Contact With Rigid and Flexible Constraints
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Topics: Strips, Springs