【摘要】 针对变速器齿轮啮合传动啸叫现象进行了齿轮系统非线性振动响应机理及稳定性分析，建立单自由度轮齿间隙非线性动力学模型。采用理论仿真与数值分析相结合方法，利用MATLAB进行数值仿真求解。研究齿侧间隙、阻尼比及激励频率等参数对齿轮系统非线性振动啸叫机理及稳定性的影响规律。结果表明：随着侧隙的不断增大，系统趋向混沌且无周期性；阻尼的增加，系统从混沌状态趋于周期变化；激励频率的多段变化，系统穿插着周期解。通过对关键非线性因素的考虑可以最大程度地降低齿轮传递动力时产生的振动与噪声，找出最佳啮合状态，降低噪声，提高舒适性。更多还原

【Abstract】 The nonlinear vibration response mechanism and stability of gear system were analyzed for the noise phenomenon of transmission gear meshing transmission and the nonlinear dynamic model of gear clearance of single degree of freedom was established. By combining theoretical simulation with numerical analysis,MATLAB is used for numerical simulation solution. The effects of parameters tooth clearance,damping ratio and excitation frequency on the nonlinear vibration squeal mechanism and stability of gear system were studied. The results show that the system tends to be chaotic and non-periodic with the increase of lateral gap. With the increase of damping,the system tends to change from chaotic state to periodic state. The system is interspersed with periodic solutions for the multi-stage variation of excitation frequency. By considering the key nonlinear factors,the vibration and noise generated during the transmission of the gear can be reduced to the greatest extent,and the optimal meshing state can be found out to reduce the noise and improve the comfort.更多还原