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首页> 外文会议>International Conference on Mechanical Engineering and Mechanics vol.2; 20051026-28; Nanjing(CN) >General Forms of Periodical Solutions to Nonlinear Dynamics of a Spur Gear Pair
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General Forms of Periodical Solutions to Nonlinear Dynamics of a Spur Gear Pair

机译：正齿轮副非线性动力学周期解的一般形式

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摘要

In this paper the Incremental Harmonic Balance Method (IHBM) is extended to analyse the nonlinear dynamics of a spur gear pair and some new results are obtained. At first the dynamical model of a spur gear pair is established, where the backlash, time-varying stiffness and static transmission error are all included. Here the time-varying stiffness and static transmission error are represented by the multi-order harmonic series through Fourier expansion. Based on the IHBM, the general forms of the periodic solutions to this system are derived, which is useful to obtain the solutions with arbitrary precision. And the difference between the frequency-response to the multi-order and single-order harmonic is analysed. Then the effects of the multi-order harmonic on the kinds of the periodic solutions are also investigated by IHBM, and the comparison with the numerical solutions shows the validity of the proposed method. At last the influence of the damping ratio and the excitation amplitude on frequency-response curves is researched, which presents some useful information to analyse and/or control the dynamics of gear system.
机译：本文采用增量谐波平衡法（IHBM）来分析正齿轮副的非线性动力学特性，并获得了一些新的结果。首先，建立了正齿轮副的动力学模型，其中包括了齿隙，时变刚度和静态传递误差。在此，时变刚度和静态传递误差由通过傅立叶展开的多阶谐波序列表示。基于IHBM，导出了该系统周期解的一般形式，这对于获得任意精度的解很有用。分析了多阶和单阶谐波的频率响应之间的差异。然后通过IHBM研究了多阶谐波对周期解的影响，并与数值解进行了比较，证明了该方法的有效性。最后研究了阻尼比和激励幅度对频率响应曲线的影响，为分析和/或控制齿轮系统的动力学提供了一些有用的信息。

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