Bifurcation of multi-freedom gear system with spalling defect

DOI10.1007/s10483-013-1684-7zbMath1400.70009OpenAlexW2328365816MaRDI QIDQ1617311

Rui Ma, Yu-Shu Chen

Publication date: 8 November 2018

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-013-1684-7

zbMATH Keywords

internal resonancesingularity theoryprimary resonancegear systemspalling defect

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Bifurcations and instability for nonlinear problems in mechanics (70K50) Kinematics of mechanisms and robots (70B15) Bifurcation theory of functional-differential equations (34K18) Averaging of perturbations for nonlinear problems in mechanics (70K65)

Cites Work

• Effect of spalling or tooth breakage on gearmesh stiffness and dynamic response of a one-stage spur gear transmission
• Strong nonlinearity analysis for gear-bearing system under nonlinear suspension-bifurcation and chaos
• Analytical modelling of spur gear tooth crack and influence on gearmesh stiffness
• Singularities and groups in bifurcation theory. Volume I
• Singularity analysis of a two-dimensional elastic cable with 1:1 internal resonance