惯性式振动机过渡过程的动态响应分析

Dynamic Responses of Inertial Vibrating Machine in Transient Processes

目的研究单轴惯性振动机过共振区的振动振幅在起动和停车过程中的变化规律,确定振动系统在振动过程中的共振时的最大振幅,解决具有三自由度的振动机起停过程的偏心块转动量、振动机位移与速度变量随时间的变化问题.方法以振动力学为基础,对单轴惯性振动机在过渡过程中,建立振动系统动力学模型,采用将龙格-库塔法数值积分方法和解析法相结合的方法,对惯性振动机起动与停车过程中的偏心块角速度、主振动方向位移和速度变化进行编制程序.结果在起振过程中的共振时的理论幅值与实测共振幅值相差0.00044 m,在停车过程中系统共振时的幅值与实测共振时的幅值相差为0.0005 m,理论分析结果与实测结果十分接近.结论对单轴惯性振动系统建立的理论推导与实际工作状况符合,可为惯性振动系统共振中振幅研究提供有效的理论依据.

This paper was proposed to study the vibration amplitude changes of a single-axis inertial vibrator passing through a resonance zone at the starting and shutdown stages,and determine the maximum resonance amplitude of the vibration system in the process of vibration,which resolve a three-degree-of-freedom problem that including the eccentric block rotation,vibrator displacement,and the velocity variables of vibrator.On the basis of vibration mechanics,a dynamics model of vibration system was built for the single-axis inertial vibrator in the transient process.Also,Runge-Kutta numerical integration and analytic methods were combined to program the angular velocity of eccentric blocks,displacement along the main vibration direction,and speed variation of the inertial vibrator in the process of startup and shutdown.In the process of initial vibration,a difference of 0.00044 m in amplitude is determined between the theoretical resonance amplitude and the measured resonance amplitude,while in the shutdown process,a difference of 0.0005 m is determined between the system resonance amplitude and the measured resonance amplitude.The theoretical analysis results and the measured results are found closely approximate.The theoretical derivation established for the single-axis inertial vibration system tallies with its practical work state,thus qualified to be a valid theoretical basis for studies of resonance vibration amplitude of inertial vibration systems.