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Keywords: incremental harmonic balance method
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Journal Articles

Steady-State Rotary Periodic Solutions of Rigid and Flexible Mechanisms With Large Spatial Rotations Using the Incremental Harmonic Balance Method for Differential-Algebraic Equations

R. Ju, S. M. Yang, H. Ren, W. Fan, R. C. Ni, P. Gu
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. December 2024, 19(12): 121001.
Paper No: CND-24-1072
https://doi.org/10.1115/1.4066221
Published Online: September 13, 2024
... 08 2024 13 09 2024 1 Corresponding author. e-mail:  fanwei@hit.edu.cn rotary periodic solutions large spatial rotations incremental harmonic balance method natural coordinates method absolute nodal coordinate formulation References [1] Brüls , O...
View Article titled, Steady-State Rotary Periodic Solutions of Rigid and Flexible Mechanisms With Large Spatial Rotations Using the <span class="search-highlight">Incremental</span> <span class="search-highlight">Harmonic</span> <span class="search-highlight">Balance</span> <span class="search-highlight">Method</span> for Differential-Algebraic Equations
Open the PDF for Steady-State Rotary Periodic Solutions of Rigid and Flexible Mechanisms With Large Spatial Rotations Using the <span class="search-highlight">Incremental</span> <span class="search-highlight">Harmonic</span> <span class="search-highlight">Balance</span> <span class="search-highlight">Method</span> for Differential-Algebraic Equations in another window
Topics: Algebra, Dynamic modeling, Fourier series, Steady state, Rotation, Frequency response, Equations of motion
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
.... , 48 ( 4 ), pp. 959 – 964 . 10.1115/1.3157762 [2] Lau , S. L. , Cheung , Y. K. , and Wu , S. Y. , 1983 , “ Incremental Harmonic Balance Method With Multiple Time Scales for Aperiodic Vibration of Nonlinear System ,” ASME J. Appl. Mech. , 50 ( 4a ), pp. 871 – 876...
View Article titled, The Singularity of Expanded Jacobian Matrix in <span class="search-highlight">Incremental</span> <span class="search-highlight">Harmonic</span> <span class="search-highlight">Balance</span> <span class="search-highlight">Method</span> Directly Locates Bifurcation Points of Steady-State Responses
Open the PDF for The Singularity of Expanded Jacobian Matrix in <span class="search-highlight">Incremental</span> <span class="search-highlight">Harmonic</span> <span class="search-highlight">Balance</span> <span class="search-highlight">Method</span> Directly Locates Bifurcation Points of Steady-State Responses in another window
Topics: Bifurcation
Journal Articles

Nonlinear Vibration of a Multi-Degree-of-Freedom Gear Transmission System With Multipiecewise Linear Functions

F. L. Liao, J. L. Huang, W. D. Zhu
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. April 2023, 18(4): 041003.
Paper No: CND-22-1263
https://doi.org/10.1115/1.4056850
Published Online: March 2, 2023
... 03 10 2022 01 02 2023 02 03 2023 gear transmission system multipiecewise linear functions nonlinear vibration incremental harmonic balance method bifurcation Guangdong Science and Technology Department 10.13039/501100007162 2022A1515011809 National Natural...
View Article titled, Nonlinear Vibration of a Multi-Degree-of-Freedom Gear Transmission System With Multipiecewise Linear Functions
Open the PDF for Nonlinear Vibration of a Multi-Degree-of-Freedom Gear Transmission System With Multipiecewise Linear Functions in another window
Topics: Bifurcation, Frequency response, Gears, Resonance, Excitation, Stability, Nonlinear vibration