魏华贤, 李威, 杨雪锋, 王禹桥, 王承涛. 基于平面柔顺机构的θxθyZ微动台静力学分析及优化设计[J]. 机器人, 2016, 38(5): 557-562. DOI: 10.13973/j.cnki.robot.2016.0557
引用本文: 魏华贤, 李威, 杨雪锋, 王禹桥, 王承涛. 基于平面柔顺机构的θxθyZ微动台静力学分析及优化设计[J]. 机器人, 2016, 38(5): 557-562. DOI: 10.13973/j.cnki.robot.2016.0557
WEI Huaxian, LI Wei, YANG Xuefeng, WANG Yuqiao, WANG Chengtao. Static Analysis and Optimal Design of θxθyZ Micropositioner withPlanar Compliant Mechanisms[J]. ROBOT, 2016, 38(5): 557-562. DOI: 10.13973/j.cnki.robot.2016.0557
Citation: WEI Huaxian, LI Wei, YANG Xuefeng, WANG Yuqiao, WANG Chengtao. Static Analysis and Optimal Design of θxθyZ Micropositioner withPlanar Compliant Mechanisms[J]. ROBOT, 2016, 38(5): 557-562. DOI: 10.13973/j.cnki.robot.2016.0557

基于平面柔顺机构的θxθyZ微动台静力学分析及优化设计

Static Analysis and Optimal Design of θxθyZ Micropositioner withPlanar Compliant Mechanisms

  • 摘要: 设计了基于平面柔顺机构的θxθyZ微动台.只考虑平面柔顺机构的平面内变形建立其静力学分析过程,对各支腿对动平台的作用进行独立分析.通过卡氏位移定理求得输入输出之间的转换关系,并建立了平面支腿位移放大比与结构尺寸的直接关系,基于遗传算法进行了结构尺寸优化.最后完成了样机有限元分析及实验研究,结果验证了分析及优化方法的可靠性,理论模型与有限元仿真及实验结果的误差分别小于4%和12%.

     

    Abstract: A θxθyZ micropositioner is developed based on planar compliant mechanism. The static analysis is completed where only the planar deformation of each leg is taken into consideration. The effects of each leg on the mobile platform are analyzed separately. The Castigliano's theorem is utilized to derive the relationships between inputs and outputs. The relation between the displacement amplification of each planar leg and the structure dimensions is formulated. Then, the dimension parameters are optimized by means of genetic algorithm. Finally, the finite element analysis (FEA) and the experimental tests on two prototypes are accomplished. The results show that the static analysis and optimization method are reliable. The errors between the analytical model and the FEA are less than 4% while the errors between the analytical model and the experimental tests are less than 12%.

     

/

返回文章
返回