Nonlinear Dynamics of a Multistage Gear Transmission System with Multi-Clearance

DOI10.1142/S0218127418500347zbMath1388.34052OpenAlexW2797036796WikidataQ129988526 ScholiaQ129988526MaRDI QIDQ4637652

Nan Gao, Aijun Hu, Ling Xiang, Yue Zhang, Jing Tang Xing

Publication date: 25 April 2018

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127418500347

zbMATH Keywords

chaosbifurcationnonlinear dynamicsbacklashplanetary gear transmission

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Forced motions for nonlinear problems in mechanics (70K40) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Kinematics of mechanisms and robots (70B15) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28)

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Cites Work

• Strong nonlinearity analysis for gear-bearing system under nonlinear suspension-bifurcation and chaos
• Nonlinear dynamics of a spur gear pair with time-varying stiffness and backlash based on incremental harmonic balance method
• Nonlinear dynamics of a planetary gear system with multiple clearances.
• Bifurcation and chaos analysis for multi-freedom gear-bearing system with time-varying stiffness
• Nonlinear torsional vibrations of a wind turbine gearbox
• Dynamic analysis of a planetary gear system with multiple nonlinear parameters

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