Considering backlash and radial clearance of bearing, time-varying mesh stiffness and time-varying bearing stiffness are conducted. Mass, stiffness and damping matrix are obtained by using finite element method, then they are assembled by the integrated method. Nonlinear dynamic model of gear bearing flexible rotor system is established which can be applied to complex load. Using modified FPA method to determine the period of solution, using the Runge-Kutta method, Newton-Raphson method for solving nonlinear dynamic equations, and the largest Lyapunov index to determine the dynamical behavior of the system. Nµmerical simulations of the dynamic equations and the affection of the rotational speed, backlash, shaft stiffness, the bearing radial clearance to the nonlinear dynamic behavior are studied. The results shows that tooth off, bilateral impact phenomenon are occurred as the increase of backlash, and quasi-periodic motion changes into chaotic motion around the coupling critical speed of bending and torsion. With the decrease of shaft stiffness, bending-torsional vibration critical speed decreases, the gear teeth off state and amplitude is also changed. As the radial clearance increases, the affections of nonlinear dynamics of bearing to system increase and amplitude of bearing increases.
Cui Li;Song Xiao-guang;Zheng Jian-rong.
Nonlinear Dynamics Analysis of Gear Flexible Rotor System Considering Multi-Clearances[J]. Journal of Vibration and Shock, 2013, 32(8): 171-178
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