摆线钢球行星传动运动分叉特性研究

发布时间：2018-04-27 09:39

本文选题：摆线钢球行星传动 + 非线性振动　；参考：《振动与冲击》2017年16期

【摘要】：为揭示摆线钢球行星传动的非线性动力学行为,建立包括外部激励、啮合副啮合状态及啮合刚度等非线性因素的纯扭转强非线性耦合动力学模型。建立能够描述啮合副所处状态的预紧非线性函数,根据静力学分析获得啮合点静态变形量,建立非线性动力学微分方程组,利用数值分析方法获得系统随压缩量、阻尼系数变化的分叉图,并绘制不同参数下的相图和庞加莱图,研究不同参数对系统分叉特性的影响规律。结果表明:轴向压缩量对系统稳定性影响较大;轴向压缩量和旋转阻尼系数增加,高速运转的系统最终稳定于短周期运动,低速运转的系统最终稳定于准周期运动;阻尼较小时系统在低速状态下的稳定性较高,阻尼较大时系统在高速状态下的稳定性较高。
[Abstract]:In order to reveal the nonlinear dynamic behavior of cycloidal steel ball planetary transmission, a pure torsional strongly nonlinear coupling dynamic model is established, which includes nonlinear factors such as external excitation, meshing state of meshing pair and meshing stiffness. A pretightening nonlinear function which can describe the state of meshing pair is established. According to static analysis, the static deformation of meshing point is obtained. The differential equations of nonlinear dynamics are set up, and the system with squeezing quantity is obtained by numerical analysis. The bifurcation diagram of damping coefficient variation and the phase diagram and Poincare diagram under different parameters are drawn to study the influence of different parameters on the bifurcation characteristics of the system. The results show that the axial compression has a great influence on the stability of the system, the axial compression and the rotational damping coefficient increase, the high-speed system is finally stable in the short-period motion, and the low-speed system is finally stable in the quasi-periodic motion. The stability of the system with low damping is higher at low speed, and the stability at high speed is higher when damping is high.
【作者单位】：燕山大学机械工程学院;
【基金】：国家自然科学基金资助项目(51275440) 河北省自然科学基金资助项目(E2013203085)
【分类号】：TH132.41

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