摘要
柔顺桥式位移放大机构被广泛用作精密定位与微纳操作装备的传动机构,其设计与建模问题是精密工程领域的研究热点。传统研究并未解决配置何种拓扑结构的柔顺铰链能设计出具有最优输出特性的桥式位移放大机构的问题,而现有的柔顺铰链拓扑优化研究一般不考虑实际柔顺机构的内力分布特性,影响了拓扑优化结果在实际柔顺机构中的应用效果。对基于柔顺铰链拓扑优化的桥式位移放大机构进行了设计、分析与实验测试。首先,在柔顺铰链拓扑结构未知的条件下,分析桥式位移放大机构的内力分布特性。结合内力分布特性与变密度法,以最大化柔度为目标函数,对柔顺铰链进行拓扑优化设计,从优化柔顺铰链拓扑结构层面提升机构输出特性。在不同体积约束条件下,桥式位移放大机构柔顺铰链的拓扑优化结果均呈V字型结构。然后,运用矩阵位移法、卡氏第二定理与并联机构柔度矩阵的关系,对V字型柔顺铰链进行静力学建模。结合V字型柔顺铰链柔度矩阵、桥式位移放大机构内力分布特性与串联机构柔度矩阵的关系,推导出基于柔顺铰链拓扑优化的桥式位移放大机构输出位移与输入力之间的解析关系,并对机构进行尺寸优化设计,进一步提升机构输出特性。有限元仿真与实验测试验证了桥式位移放大机构柔顺铰链的拓扑优化结果、V字型柔顺铰链静力学建模与机构尺寸优化设计的有效性。
Bridge-type compliant displacement amplification mechanisms(CDAMs)have been widely used as transmission mechanisms for precision positioning and micro-nano-manipulation equipments.In the field of precision engineering,the design and modeling of bridge-type CDAMs are key issues.Traditional researches have not solved the problem that which kind of topological structure for the flexure hinges makes the output performances of bridge-type CDAMs the best.Existing researches on the topology optimization of flexure hinges generally do not consider the distribution property of internal forces for an actual compliant mechanism,which affects the application effect of topology optimization results in the actual compliant mechanism.In this paper,a bridge-type CDAM based on the topology optimization of flexure hinge is designed,analyzed and tested experimentally.Firstly,in the condition that the topological structure of flexure hinges is unknown,the distribution property of internal forces for a bridge-type CDAM is carried out.With a combination of the distribution property of internal forces and the variable density method,taking the maximum compliance as the objective function,the topology optimization of flexure hinge was conducted,which improves the output property of CDAM from the perspective of optimizing the topological structure of flexure hinge.Under different volume constraints,the topology optimization results of flexure hinge in a bridge-type CDAM are all V-shaped structures.Then,using the matrix displacement method,the distribution property of internal forces for the bridge-type CDAM and the relationship among the compliance matrixes of a parallel mechanism,the static model of V-shaped flexure hinge was established.With a combination of the compliance matrix of a V-shaped flexure hinge,the distribution property of internal forces and the relationship among the compliance matrixes of a serial mechanism,the analytical relation between the output displacement and the input force of bridge-type CDAM based on the topol
作者
卢清华
亢诗迪
陈为林
韦慧玲
张云志
罗陆锋
LU Qinghua;KANG Shidi;CHEN Weilin;WEI Huiling;ZHANG Yunzhi;LUO Lufeng(School of Mechatronics Engineering and Automation,Foshan University,Foshan 528000)
出处
《机械工程学报》
EI
CAS
CSCD
北大核心
2022年第11期57-71,共15页
Journal of Mechanical Engineering
基金
国家自然科学基金(51805083)
国家重点研发计划项目(2018YFB1308000)
广东省基础与应用基础研究基金——区域联合基金重点项目(2020B1515120070)
广东省基础与应用基础研究基金——区域联合基金青年项目(2020A1515111056)
广东省教育厅重点项目(2018KZDXM074)
广东高校创新团队项目(2020KCXTD015)
广东省普通高校科研项目(2019KTSCX197)资助项目。
关键词
柔顺铰链
拓扑优化
桥式位移放大机构
尺寸优化
flexure hinge
topology optimization
bridge-type displacement amplification mechanism
parametric optimization
