气浮支承高速喷漆涡轮运动稳定性和失效速度

Kinematic Stability and Critical Velocity of a High-Speed Painting Automizor with Gas Bearing Support

针对一类气浮支承高速喷漆涡轮系统的运动稳定性问题,建立了相应的非线性动力学模型,研究了系统运动稳定性与静平衡点随转速的变化规律,以及轴承轴颈间隙与最低失效速度之间的内在关系,得出工作状态下系统最低失效速度为2000r/min.在此基础上,通过龙格 库塔数值算法求解,分析了非工作与工作状态等参数点处时间历程曲线、相图和轴心轨迹图,可以看出从非工作转速到工作转速之间有分岔现象出现.

So far as the stability of the high-speed painting automizor system with gas bearing support is concerned,one type of its non-linear dynamic mode is set up.Moreover,the relationship between dynamic carrying force and bearing parameters,and the law between static balance position and rotating speed are studied.On the basis of this,the critical velocity 2 000 r/min under working conition is found,and the relationship between bearing clearance and critical velocity is also got at the same time.According to the above,the kinematic stability and critical condition are both discussed,and the time histories,phase diagrams,and axis tracing curves are also obtained under non-working and working conditions with the Ronge-Kutta numerical method.The conclusion is that bifurcation behavior occurs when the rotation speed changes from non-working state to working state.