Abstract
The spur gear pair’s nonlinear equation of motion including piece-wise backlash and internal error excitation is derived in this research. The worn tooth effect in time-varying mesh stiffness is introduced to do in-depth investigation of the dynamic traits for gear transmission system with wear fault. The internal excitation frequency is selected as a criterion to calculate the bifurcation diagram and the corresponding Lyapunov exponents. Some auxiliary analyzing meanings such as Poincaré maps, phase trajectory, power spectrum and time history curve are utilized to illustrate the system’s nonlinear behaviors with special parameter settings. Different routes to chaos and abundant nonlinear phenomena have been observed in this nonlinear gear transmission system.
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