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Y. M. Chen
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Journal Articles

The Singularity of Expanded Jacobian Matrix in Incremental Harmonic Balance Method Directly Locates Bifurcation Points of Steady-State Responses

Y. M. Chen, J. K. Liu
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2023, 18(11): 111004.
Paper No: CND-23-1105
https://doi.org/10.1115/1.4063400
Published Online: September 28, 2023
View Article titled, The Singularity of Expanded Jacobian Matrix in Incremental Harmonic Balance Method Directly Locates Bifurcation Points of Steady-State Responses
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Topics: Bifurcation
Journal Articles

An Efficient Analytical Method Based on Averaging and Memory-Free Principle for Variable Fractional Oscillators

Q. X. Liu, J. K. Liu, Y. M. Chen
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. December 2022, 89(12): 121002.
Paper No: JAM-22-1131
https://doi.org/10.1115/1.4055617
Published Online: October 6, 2022
View Article titled, An Efficient Analytical Method Based on Averaging and Memory-Free Principle for Variable Fractional Oscillators
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Topics: Dynamics (Mechanics), Modeling, Nonlinear differential equations, Numerical analysis, Resonance, Vibration, Springs, Friction, Damping, Differential equations
Journal Articles

A Time Marching Integration for Semianalytical Solutions of Nonlinear Oscillators Based on Synchronization

R. Z. Yao, Y. M. Chen, Q. X. Liu
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Technical Briefs
J. Comput. Nonlinear Dynam. October 2021, 16(10): 104501.
Paper No: CND-20-1370
https://doi.org/10.1115/1.4051994
Published Online: August 31, 2021
View Article titled, A Time Marching Integration for Semianalytical Solutions of Nonlinear Oscillators Based on Synchronization
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Topics: Synchronization, Fourier series, Harmonic oscillators
Journal Articles

Time-Dependent Decay Rate and Frequency for Free Vibration of Fractional Oscillator

Y. M. Chen, Q. X. Liu, J. K. Liu
Journal: Journal of Applied Mechanics
Publisher: ASME
Article Type: Technical Briefs
J. Appl. Mech. February 2019, 86(2): 024501.
Paper No: JAM-18-1451
https://doi.org/10.1115/1.4041824
Published Online: November 14, 2018
View Article titled, Time-Dependent Decay Rate and Frequency for Free Vibration of Fractional Oscillator
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Topics: Free vibrations, Damping
Journal Articles

A Second-Order Scheme for Nonlinear Fractional Oscillators Based on Newmark- β Algorithm

Q. X. Liu, J. K. Liu, Y. M. Chen
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Technical Briefs
J. Comput. Nonlinear Dynam. August 2018, 13(8): 084501.
Paper No: CND-17-1391
https://doi.org/10.1115/1.4040342
Published Online: June 18, 2018
View Article titled, A Second-Order Scheme for Nonlinear Fractional Oscillators Based on Newmark- β Algorithm
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Topics: Algorithms
Journal Articles

Error Estimation of Fourier Series Expansion and Implication to Solution Accuracy for Nonlinear Dynamical Systems

Y. M. Chen, Z. R. Lv, J. K. Liu
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2017, 12(1): 011002.
Paper No: CND-15-1266
https://doi.org/10.1115/1.4034127
Published Online: September 1, 2016
View Article titled, Error Estimation of Fourier Series Expansion and Implication to Solution Accuracy for Nonlinear Dynamical Systems
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Topics: Errors, Fourier series, Nonlinear dynamical systems