摘要
作为一种新型传动形式，面齿轮传动在高速大功率场合的应用越来越多，其非线性振动特性分析对提高其工作可靠性具有重要意义。为研究正交面齿轮传动系统的非线性动力学特性，建立了包含支承、齿侧间隙、时变啮合刚度、综合传动误差、阻尼和外激励等参数的系统弯-扭耦合动力学模型，并使用PNF(Poincaré-Newton-Floquet)方法对系统的动力学微分方程进行求解。计算结果表明：随着转速增大，系统呈现混沌-周期-混沌的运动特征，不同的混沌区域间存在周期窗口；在不同的参数条件下系统会出现4种动态响应，即简谐响应、次谐波响应、拟周期响应及混沌响应；不同的响应特性对应的动载系数幅值差别非常大，应尽量调节系统转速，使系统的动态响应保持在周期窗口内。
Abstract
Face-gear transmission is more and more used in the high-speed and high-power transmission systems as a new transmission method. In order to improve the face gear’s functional reliability it is significant to analyze the nonlinear dynamic characteristics of face-gear transmission system. Then a nonlinear dynamic model of a face-gear transmission system is presented. This model includes bearings, backlash, time-varying meshing stiffness, general transmission error, meshing damping, and external load, etc. The PNF(Poincaré-Newton-Floquet) method is used to solve the dynamic differential equations. The calculation results show that the windows of the chaotic responses and the period responses will appear alternately. Four kinds of steady state responses, i. e. harmonic, non-harmonic, sub-harmonic, quasi-periodic and chaotic responses, are obtained for different parameters. The amplitudes of dynamic-load coefficients with different dynamic responses alter very largely, so the system’s dynamic responses should be kept in the periodic windows by adjusting the system’s rotate speed.
关键词
面齿轮 /
非线性动力学响应 /
分岔 /
混沌振动 /
动载系数
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Key words
Face-gear /
Nonlinear dynamic response /
Bifurcation /
Chaotic vibration /
dynamic-load coefficient
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杨 振;王三民;范叶森;刘海霞.
正交面齿轮传动系统非线性振动特性研究[J]. 振动与冲击, 2010, 29(9): 218-221,
YANG Zhen;WANG Sanmin;FAN Yesen;Liu Haixia.
NONLINEAR DYNAMICS OF FACE-GEAR TRANSMISSION SYSTEM[J]. Journal of Vibration and Shock, 2010, 29(9): 218-221,
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脚注
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