多维隔振装置自由振动方程及其解  

Free Vibration Equation of a Multidimensional Vibration Isolation Device and Its Root

作　　者：于大国[1,2] 马履中[1] 郭洪锍[1] 王国明[1] 施琴[1] 

机构地区：[1]江苏大学机械工程学院,镇江212013 [2]中北大学机械工程与自动化学院,太原030051

出　　处：《农业机械学报》2009年第6期184-188,183,共6页Transactions of the Chinese Society for Agricultural Machinery

基　　金：国家自然科学基金资助项目(50375067);高等学校博士学科点专项科研基金资助项目(20050299002)

摘　　要：通过多方位多层次结构组合实现多维隔振时,其结构复杂、难度大,因此提出以反向对称布置双直角Stewart机构及上、下平台组成多维隔振装置,利用一层结构实现多维隔振,建立了自由振动方程并进行求解。由解看出,该装置固有频率在5 Hz以下,振动衰减较快。使用该装置,仿真可实现沿坐标轴的3个移动和绕坐标轴的3个转动,加速度传递系数均小于1。依据所推导的公式,确定该装置的刚度系数、阻尼系数和结构尺寸,可将该装置用于多维隔振。A vibration isolation device is proposed to absorb multidimensional vibration. The device is composed of double Stewart mechanisms, up-platform, and down-platform. It provides an easy way of multidimensional vibration isolation. The kinetic equation is derived from motion analysis and force analysis. Its roots show that the innate frequency of the device is lower than 5 Hz and the vibration of the device attenuates rapidly. ADAMS simulation and experiment prove that the device absorbs multidimensional vibration very well. So it can be used in vibration isolation when its stiffness coefficient, damping coefficient and the sizes are designed according to the formulae derived.

关 键 词：隔振 动力学方程 机构 模态分析 

分 类 号：TH113[机械工程—机械设计及理论]