This study is aimed at investigating the effects of intermediate support stiffness on nonlinear vibration response of transmission system. A coupled bending–torsional–lateral dynamic model with 14 degrees of freedom of transmission system is proposed comprehensively considering rubber dynamic stiffness, time-varying stiffness, static transmission error, and backlash. Meanwhile, a model of intermediate support with rubber nonlinear properties is developed to improve the accuracy of analysis. On the basis of the nonlinear differential equations derived by the lumped-parameter method, the dynamic responses of the key parts in the transmission system are obtained using the Runge–Kutta method and the effects of intermediate support stiffness on the dynamic characteristics are analyzed. Numerical results show that complicated interaction occurs and intermediate support stiffness has a great influence on the vibration of the coupled system. With the increase in the intermediate support stiffness, the vibration displacements in the three directions of the gear are progressively reduced and the nature frequencies are changed. The influence of the radial stiffness is greater than that of the axial stiffness. An experiment is performed subsequently to validate the effect of intermediate support stiffness on system, and the experimental results are consistent with numerical ones.

中文翻译：

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中间支撑刚度对传动系统非线性动力响应的影响

这项研究旨在调查中间支撑刚度对传动系统非线性振动响应的影响。综合考虑了橡胶的动态刚度，时变刚度，静态传递误差和齿隙，提出了传动系统自由度为14的弯扭扭动力模型。同时，建立了具有橡胶非线性特性的中间支撑模型，以提高分析的准确性。基于集总参数法导出的非线性微分方程，使用Runge–Kutta方法获得传动系统中关键部件的动力响应，并分析了中间支撑刚度对动力特性的影响。数值结果表明，复杂的相互作用发生，中间支撑刚度对耦合系统的振动有很大影响。随着中间支撑刚度的增加，齿轮在三个方向上的振动位移逐渐减小，固有频率发生变化。径向刚度的影响大于轴向刚度的影响。随后进行实验以验证中间支撑刚度对系统的影响，并且实验结果与数值结果一致。齿轮三个方向上的振动位移逐渐减小，固有频率改变。径向刚度的影响大于轴向刚度的影响。随后进行实验以验证中间支撑刚度对系统的影响，并且实验结果与数值结果一致。齿轮三个方向上的振动位移逐渐减小，固有频率改变。径向刚度的影响大于轴向刚度的影响。随后进行实验以验证中间支撑刚度对系统的影响，实验结果与数值结果一致。