新型混合柔性铰链的设计计算与参数优化  

Design Calculation and Parameter Optimization of New Hybrid Flexure Hinge

作　　者：何涛[1,2,3] 李志鹏[1,3] 李成 王传礼[1,2,3] 张文标 HE Tao;LI Zhipeng;LI Cheng;WANG Chuanli;ZHANG Wenbiao(0x09School of Mechanical Engineering,Anhui University of Science and Technology,Huainan Anhui 232001,China;Jiangsu Key Laboratory of Mine Mechanical and Electrical Equipment,China University of Mining and Technology,Xuzhou Jiangsu 221116,China;Anhui Key Laboratory of mine intelligent equipment and technology,Anhui University of Science and Technology,Huainan Anhui 232001,China)

机构地区：[1]安徽理工大学机械工程学院,安徽淮南232001 [2]中国矿业大学江苏省矿山机电装备重点实验室,江苏徐州221116 [3]安徽理工大学矿山智能装备与技术安徽省重点实验室,安徽淮南232001

出　　处：《安徽理工大学学报（自然科学版）》2021年第2期29-35,共7页Journal of Anhui University of Science and Technology:Natural Science

基　　金：安徽省自然科学基金资助项目(2008085QE216);安徽省高校自然科学研究基金资助项目(KJ2018A0078);江苏省矿山机电装备重点实验室开放基金资助项目(JSKL-MMEE-2018-4);安徽省学术和技术带头人科研活动经费资助项目(2019D215)。

摘　　要：为满足微纳驱动技术快速发展对大柔度柔性铰链的迫切需求,在传统对称切口柔性铰链的基础上,提出了一类基于摆线和椭圆混合切口的新型混合柔性铰链及其优化设计方法。首先,根据材料力学悬臂梁弯曲变形和拉伸变形理论,推导了转动柔度和拉伸柔度的计算公式,考虑弯曲变形的应力集中现象,推导了最大应力的计算公式,通过有限元仿真验证了计算公式的正确性。然后,讨论了结构参数对转动柔度、拉伸柔度和最大应力的影响,研究表明,转动柔度和拉伸柔度随参数的变化具有一致性,都与弹性模量、宽度和最小厚度成正比,与拱高参数成反比;最大应力随宽度、最小厚度和拱高参数的增大而减小。最后,以结构参数为优化设计变量,以柔度比为优化目标函数,考虑几何约束、强度约束和外部载荷,建立了新型混合柔性铰链的优化设计模型,并通过实例分析,验证了新型混合柔性铰链的优越性及优化设计方法的有效性。In order to meet the urgent needs of the rapid development of micro-nano drive technology for the large flexibility and flexure hinge,based on the traditional symmetric notch flexure hinge,a new type of hybrid flexure hinge based on cycloid and elliptic mixed notches and its optimal design method were presented.Firstly,according to the theory of bending deformation and tensile deformation of cantilever beam in mechanics of materials,the calculation formulas of rotational compliance and tensile compliance were derived.With the consideration of the stress concentration phenomenon of bending deformation,the calculation formula of maximum stress was derived.The correctness of the calculation formula was verified by finite element simulation.Then,the influence of structural parameters on rotational compliance,tensile compliance and maximum stress was discussed.The results showed that the rotational compliance and tensile compliance were consistent with the change of parameters,proportional to elastic modulus,width and minimum thickness and inversely proportional to the parameters of arch height.The maximum stress decreased with the increase of width,minimum thickness and arch height.Finally,taking the structural parameters as the optimization design variables,the compliance ratio as the optimization objective function,the optimization design model of the new hybrid flexure hinge was established with the consideration of geometric constraints,strength constraints and external loads.Through the case analysis,the advantages of the new hybrid flexure hinge and the effectiveness of the optimization design method was verified.

关 键 词：柔性铰链 转动柔度 拉伸柔度 应力分析 优化设计 

分 类 号：TP215[自动化与计算机技术—检测技术与自动化装置]