一平移两转动三自由度减振平台的动力学分析
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- 发布时间:2014-03-18
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为了提高机械电子等产品在多自由度振动工况下的高精度动态特性,设计出一种安装上述产品的新型3自由度(一平移两转动)多维并联减振平台.首先对该平台的雅克比矩阵进行了理论分析,并取特定实例计算;结合雅克比矩阵的计算结果,对并联减振平台系统进行模态分析,得到该平台系统的理论固有频率;其次建立多维并联减振平台的三维模型,利用Adams软件得到该平台的仿真固有频率;最后制作一台多维减振系统样机并完成试验测试,测得样机的实际固有频率.经过分析与试验,得到该平台的理论、仿真、试验固有频率分别为4.0892,4.219,4.6Hz左右,其误差在允许的范围内,表明一平移两转动减振平台设计理论和分析方法是正确可行的. A novel 3-DOF parallel mechanism platform with one translation and two rotations was designed to improve dynamic performance of mechanical and electrical products and ensure the accuracy of the original products under multi-vibration working conditions.The theoretical Jacobian matrix formula of the platform was analyzed to calculate the real Jacobian matrix of a specific position.According to the theoretical results of Jacobian matrix,the modal analysis of the parallel vibration-absorber system was achieved to obtain the natural frequency of the system.The three-dimensional model of multi-dimensional parallel damping platform was built by Adams software to obtain the transmission rate of the system.A prototype of multi-dimensional vibration-absorber system was manufactured to measure the transfer function.With theoretical result of 4.089 2 Hz,simulating result of 4.219 Hz and testing result of 4.6 Hz,the results show that the designing theory and analytical method of the vibration are reasonable.
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