角不对中叠片联轴器系统非线性动力学分析

NONLINEAR DYNAMICS ANALYSIS OF DIAPHRAGM COUPLING SYSTEMS WITH ANGULAR MISALIGNMENT

主要研究了叠片联轴器在偏角不对中故障下系统的非线性动力学行为。首先考虑到存在小角度不对中及转子质量不平衡等特征,建立叠片联轴器转子系统的动力学模型,由第二类拉格朗日方程推导出了系统的动力学微分方程。然后采用数值方法对微分方程进行仿真求解,绘制出系统运动随转速变化和角不对中量变化的分岔图,以及不同转速下的位移响应图、轴心轨迹图、相轨迹图,并对各个图像做出了相应的非线性动力学分析。

This paper mainly investigated the nonlinear dynamic behavior of diaphragm coupling systems with angular misalignment. First of all, a dynamic model is built according to the characteristic of diaphragm coupling with angular misalignment,whose dynamic differential equation is deduced by the second Lagrange equation. Later,the differential equation is solved by the numerical method. And bifurcation diagram of the systems with the speed changing and the angular misalignment changing are drawn,also the diagrams of displacement response,rotor orbit and phase trajectories under different speeds. And then appropriate nonlinear dynamics are analyzed for these diagrams.