摘要
微/纳米传动平台中，柔性机构的弹性势必导致平台高速、高加速带来的残余振动。采用拉格朗日方法，建立了平台的动力学模型，得到了平台前5阶固有频率的解析式；分析了平台固有频率与柔性板簧厚度、长度的相互关系，得到了固有频率随柔性板簧厚度、长度的变化规律。应用有限元方法，分别仿真得到了前6阶固有频率和模态阵型；以固有频率为优化目标，建立了平台的优化模型。采用动态测试系统，分别对优化前、后的平台进行了模态试验分析；通过对比分析，得到了提高平台动态性能的方法，且模态试验结果表明，调整柔性板簧厚度、长度的方法是有效的、可行的。
Abstract
For micro/nano-transmission platform, flexibility of the flexible mechanism will inevitably lead to residual vibration in the case of high-speed and high acceleration. In terms of Lagrange equation, the dynamic model of the platform was set up, the first five natural frequencies were obtained. And the relationship between natural frequencies and the thickness and length of the flexible leaf were analyzed. Based on finite element method, the first six natural frequencies and shapes were simulated. The optimization model of the platform has been established, taking natural frequencies as objective function. Using modal test system, modal testing have been done for the platform before and after optimization. Through comparative analysis, the method to improve the dynamic performances of the platform was obtained. In addition, the results of modal testing show that the method is correct and effective.
关键词
柔性板簧 /
微/纳米传动平台 /
动力学分析 /
模态试验 /
优化设计
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Key words
flexible leaf /
micro/nano-transmission platform /
dynamic analysis /
modal testing /
optimal design
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林 超;俞松松;程 凯;王勇勤;崔新辉;陶友淘 .
微/纳米传动平台的模态试验及优化设计[J]. 振动与冲击, 2012, 31(17): 176-180
LIN Chao;YU Song-song;CHENG Kai;WANG Yong-qin;CUI Xin-hui;TAO You-tao.
Modal testing and optimal design of micro/nano-transmission platform[J]. Journal of Vibration and Shock, 2012, 31(17): 176-180
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