双机驱动振动系统同步运转的稳定性

Stability of Synchronous Operation of Vibrating System Driven by Two Motors

针对双机驱动振动系统同步运转的稳定性问题,建立了振动系统的动力学模型,对系统进行了非线性动力学分析.通过对系统参数进行无量纲化处理,得到了振动系统的频率俘获方程和系统实现自同步运转稳定性的条件,计算出了自同步运转的稳定域.根据自同步运转稳定性的条件和稳定域对系统进行优化设计,调整了振动系统的参数.仿真结果表明振动系统实现了速度同步和相位同步,达到了稳定的自同步状态,验证了自同步运转稳定性条件和稳定域的正确性,证实了优化设计的有效性.

To investigate the stability of synchronous operation of a vibrating system driven by two motors, a dynamic model is developed for the system that was analyzed nonlinearly and dynamically. Making the parameters of the system dimensionless, the frequency trapping equations of the vibrating system and the conditions for implementing stable self-synchronous operation are both obtained, thus computing the stability region of self-synchronous operation. Then, the design of such a vibrating system is optimized on the basis of the conditions and stability region as above so as to readjust the parameters of the vibrating system. The simulation results showed that the synchronization of vibrating system comes true in either speed or phase to enable the system to be in a good self-synchronous state. The correctness of the conditions for stability and stability region of self-synchronous operation and the effectiveness of the optimized design are therefore verified.