Abstract
Considering input shaft and output shaft excitation, the time-varying meshing stiffness, static transmission error and gear backlash, a nonlinear dynamic model of the twisting vibration of the orthogonal curve-face gear transmission was established, and the nonlinear vibration differential equation was listed. Using the forth-order Runge–Kutta numerical integral method to solve the equation with MATLAB, the dynamic response of orthogonal curve-face gear transmission was obtained. By analyzing the response images, the impact of different meshing frequency was summarized. Different meshing frequencies lead to different dynamic responses, including single-cycle response, 9-cycle response, quasi-periodic and chaotic response. When the gear backlash changes, the vibration amplitude of the system also changes.
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