具有缓冲环的磁悬浮转子系统的动力学分析

On the nonlinear dynamics of a magnetically suspended rotor system with a buffer ring

建立了具有缓冲环的磁悬浮轴承支撑的转子系统的非线性动力学模型,列出了系统的动力学方程,并对方程进行了无量纲处理.运用四阶龙格库塔法进行数值计算,通过数值仿真对系统响应的分岔图,相图,庞加莱映射图,以及时间响应图进行了分析,研究了在固定参数下转速对系统运动的影响.

A nonlinear dynamic model of a magnetically suspended rotor system with a buiier nng has been estao- lished, then the dynamic equation of the system is given, and the equation is tested with the dimensionless process- ing. It uses the Runge Kutta 4th order method in the numerical calculation, and a numerical simulation to analyze the bifurcation diagram, phase diagram, Pointcar6 diagram as well as the time response figure. It finally analyzes the influence of the speed on the movement of the system under a fixed parameter.