Bifurcation Analysis of Gear Pair with Continuous and Intermittent Mesh Stiffness Using Enhanced Compliance Method

DOI10.1142/S0218127420501564zbMath1464.74081MaRDI QIDQ5120516

Ting-Nung Shiau, Chuen-Ren Wang, De-Shin Liu, Wei-Chun Hsu, Kuo-Hsuan Huang

Publication date: 15 September 2020

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

zbMATH Keywords

chaosRunge-Kutta methodbifurcation diagramLyapunov exponentLagrangian theory

Mathematics Subject Classification ID

Dynamical systems in solid mechanics (37N15) Chaotic behavior of solutions to dynamical problems in solid mechanics (74H65) Finite difference methods applied to problems in solid mechanics (74S20) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)

Cites Work

• Nonlinear dynamic characteristics of geared rotor bearing systems with dynamic backlash and friction
• Nonlinear dynamics of a spur gear pair with time-varying stiffness and backlash based on incremental harmonic balance method
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