基于增量谐波平衡法的复合行星齿轮传动系统非线性动力学

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振动与冲击 ›› 2012, Vol. 31 ›› Issue (3) : 117-122.

论文

基于增量谐波平衡法的复合行星齿轮传动系统非线性动力学

巫世晶1；刘振皓1；王晓笋1；潜波2

作者信息 +

nonlinear dynamics of compound planetary gear sets based on incremental harmonic balance method

Wu Shi-jing1； Liu Zhen-hao1； Wang Xiao-sun1；qian bo2

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文章历史 +

摘要

建立了包含时变啮合刚度、齿侧间隙与综合啮合误差的Ravigneaux式复合行星齿轮传动系统纯扭转动力学模型。运用增量谐波平衡法对系统运动微分方程组进行求解，得到系统的基频稳态响应。研究了时变啮合刚度、外部激励、齿侧间隙等参数的变化对系统动力学特性的影响。研究结果表明，间隙的存在使得复合行星齿轮系统的频响曲线出现了幅值跳跃与多值解等典型非线性特征，系统参数的共同作用使得复合行星齿轮系统出现了丰富的非线性动力学行为。利用本文的方法可以获得系统任意精度的近似解，为控制系统的振动与噪声，实现复合行星齿轮传动系统动态设计奠定基础。

Abstract

A purely rotational model of Ravigneaux compound planetary gear sets including time-varying mesh stiffness, synthetical mesh errors and backlashes is developed. Incremental harmonic balance method is applied to obtain the steady state response of fundamental frequency. The influence of the system parameter on dynamic characteristics is analized by changing the value of time-varying mesh stiffness, backlashes, external excitations. It is showed from the research that multiple value and amplitude jump discontinuities are presented on the dynamic curves with the existence of backlashes. More abundant dynamic behaviors are existed in compound planetary gear sets by the coaction of the system parameters. Incremental harmonic balance method can be used in more complex systems to obtain the approximate solutions of arbitrary-precision, which lay the foundation of controlling vibration and noise of the system to achieve the dynamic design of compound planetary gear sets.

导出引用

巫世晶; 刘振皓; 王晓笋;潜波. 基于增量谐波平衡法的复合行星齿轮传动系统非线性动力学[J]. 振动与冲击, 2012, 31(3): 117-122

Wu Shi-jing; Liu Zhen-hao; Wang Xiao-sun;qian bo. nonlinear dynamics of compound planetary gear sets based on incremental harmonic balance method[J]. Journal of Vibration and Shock, 2012, 31(3): 117-122