一种微位移柔顺放大机构的优化设计  

Optimal Design of a Micro-displacement Compliant Amplification Mechanism

作　　者：郭凡逸 孙志礼[1] 张胜男 曹汝男 GUO Fan-yi;SUN Zhi-li;ZHANG Sheng-nan;CAO Ru-nan(School of Mechanical Engineering&Automation,Northeastern University,Shenyang 110819,China)

机构地区：[1]东北大学机械工程与自动化学院,辽宁沈阳110819

出　　处：《东北大学学报（自然科学版）》2022年第7期996-1002,共7页Journal of Northeastern University(Natural Science)

基　　金：国家自然科学基金资助项目(51775097).

摘　　要：基于柔性梁的动刚度矩阵以及矩阵位移法建立了一种微位移柔顺放大机构的伪静态参数化模型.该模型可以对新机构进行快速化运动预测和参数化运动分析,并且可以得到位移放大率的解析模型.通过模拟退火算法优化结构的尺寸与形状得到了一种新的机构,它的放大率相比于原始构型增加了9%且固有频率为409 Hz,与有限元结果对比相对误差小于2%,验证了模型的准确性.分析了在负载与输入位移共同作用下新机构的放大率变化规律以及结构关键节点处的加工误差对输出位移的影响.结果表明,模型顶点与输出端的X方向加工误差对输出位移的影响最大.A pseudo static parametric model of the micro-displacement compliant amplification mechanism is proposed based on the dynamic stiffness matrix of flexible beams and the matrix displacement method.This model can be used for rapid motion prediction and parametric motion analysis for the new mechanism.Then the analytical model of displacement amplification ratio is obtained.A new mechanism is obtained by optimizing the dimensions and shape of the structure based on simulated annealing algorithm.Compared with the original structure,its amplification ratio increases by 9%and the natural frequency is 409 Hz.The optimization results are compared with FEA simulations with less than 2%difference,which verifies the accuracy of the model.The amplification ratio variation of the new mechanism with load and input displacement and the influence of manufacturing errors at key joints on output displacement are analyzed.The results show that the X-direction manufacturing errors of the top endpoint and output stage have the greatest influence on the output displacement.

关 键 词：柔顺机构 伪静态模型 结构优化 放大率 固有频率 

分 类 号：TH122[机械工程—机械设计及理论]