Bifurcation and chaos analysis of spur gear pair with and without nonlinear suspension

DOI10.1016/j.nonrwa.2010.08.021zbMath1269.70038OpenAlexW2087810388MaRDI QIDQ619723

Cai-Wan Chang-Jian, Shiuh-Ming Chang

Publication date: 18 January 2011

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2010.08.021

zbMATH Keywords

Runge-Kutta methoddamping coefficientLyapunov exponentrotational speedinverse period-doubling bifurcation

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (6)

Dynamic Characteristics Analysis of Gear System with Coupled Thermal-Elasto-Hydrodynamic-Nonlinear Effect ⋮ Bifurcation and Erosion of Safe Basin for a Spur Gear System ⋮ Linear time heteronymous damping in nonlinear parametric systems ⋮ Bifurcation observation of combining spiral gear transmission based on parameter domain structure analysis ⋮ Dynamic analysis and chaos control of spur gear transmission system with idler ⋮ Nonlinear response analysis of gear-shaft-bearing system considering tooth contact temperature and random excitations

Cites Work

• Nonlinear dynamic analysis of a flexible rotor supported by micropolar fluid film journal bearings
• Chaos and bifurcation of a flexible rub-impact rotor supported by oil film bearings with nonlinear suspension
• Nonlinear dynamics of a spur gear pair with time-varying stiffness and backlash based on incremental harmonic balance method
• Chaos in the imbalance response of a flexible rotor supported by oil film bearings with nonlinear suspension
• Nonlinear dynamic loads on gear teeth in discrete-continuous model of single gear transmission
• Dynamic analysis of piecewise linear oscillators with time-periodic coefficients

This page was built for publication: Bifurcation and chaos analysis of spur gear pair with and without nonlinear suspension