滚珠自动控制转子系统强迫振动研究(1/2次分数谐波振动)

Forced vibration of the rotor controlled by an automatic ball balancer( 1/2 order subharmonic vibration)

应用两个滚珠在线自动平衡转子系统,并控制转子系统的强迫振动。目前相关研究主要集中在线性转子系统,然而实际的转子系统大多属于非线性系统,特别是在常见的滚动轴承等支承的转子系统中,由于装配误差等原因出现弱非线性弹性恢复力。对具有弱非线性弹性恢复力作用的转子系统,在已完成的对主振动控制研究的基础上,通过理论解析与数值模拟,研究了两滚珠平衡制振时转子系统的1/2次分数谐波振动的响应特性及滚珠质量对振动响应大小的影响规律等。研究表明平衡滚珠在高速区域能够完全平衡非线性转子系统,对系统的1/2次分数谐波振动具有良好的制振性能。

A rotor can be on-line balanced by using a balancer with two balls and its forced vibration can be suppressed well. Although,the rotor,especially supported by rolling elements bearings,often shows nonlinear character practically because of weakly elastic restoring forces caused by the assembly error,etc.,the relevant researches are mainly focused on its linear ones. For the rotor acted by weakly nonlinear elastic restoring forces and balanced by two balls,based on the research results about the control of principal vibration,the 1/2 order subharmonic vibration response characters and the effect of the mass of balls on the vibration amplitude were studied theoretically and numerically. It is concluded that the balls can balance the nonlinear rotor completely and suppress the amplitude of 1/2 order subharmonic vibration response well in the high speed region.