单自由度简谐振动机械弹性支承刚度和激振力的设计

采用传递函数法求解单自由度简谐振动机械的动力学方程,得到振动体位移与激振力的关系,通过激振力频率和振动体质量的波动对振动体振幅的影响分析,以及隔振系数与频率比关系的分析,提出了该类振动机械合理的下限频率比;同时考虑到弹性支承在振动体重力作用下的静变形应大于振动体的最大振幅,从而给出了弹性支承刚度的设计依据和激振力幅值的计算公式,为单自由度简谐振动机械的设计提供了系统的理论和方法,并通过算例进一步阐述了该设计方法的应用.

THE DESIGN OF ELASTIC SUPPORTING STIFFNESS AND EXCITING FORCE FOR SIMPLE HARMONIC VIBRATION MACHINE WITH SINGLE-DEGREE-OF-FREEDOM

Dynamic equation of simple harmonic vibration machine with Single-degree-of-freedom is solved by transfer function algorithm,accordingly,obtains relationship between displacement of vibration body and exciting force.Reasonable lower limit frequency ratio of this vibration machine is brought forward by analyzing change of vibration body amplitude due to fluctuation of exciting frequency and mass of vibration body,as well as relationship between vibration isolation coefficient and frequency ratio.At the same time,considers that static deformation of the elastic supporting due to gravitation of vibration body must be bigger than the most amplitude of the vibration body,so gives foundation principle for the design of elastic supporting stiffness and formula on exciting force amplitude.Systemic theory and method is provided for designing simple harmonic vibration machine with Single-degree-of-freedom,and this design method is further explained with an example.