嵌套余弦函数型多轴柔性铰链的设计与分析  

Design and analysis of nested cosine function type multi-axis flexure hinge

作　　者：徐美娟 汪启亮 洪永烽 龙益平 刘通 郭彬[1] XU Meijuan;WANG Qiliang;HONG Yongfeng;LONG Yiping;LIU Tong;GUO Bin(School of Mechanical and Electrical Engineering,Jiangxi University of Science and Technology,Ganzhou 341000,China)

机构地区：[1]江西理工大学机电工程学院,江西赣州341000

出　　处：《工程设计学报》2025年第2期252-261,共10页Chinese Journal of Engineering Design

基　　金：国家自然科学基金资助项目(51905239);江西省教育厅科学技术研究项目(GJJ160656);江西省自然科学基金资助项目(20181BAB216019)。

摘　　要：现有柔性铰链的缺口形状主要局限于圆锥曲线及其组合,且在应对复杂载荷和大角度运动时容易因应力过大而失效。为此,设计了一种新型的嵌套余弦函数型多轴柔性铰链。首先,基于有限梁柔度矩阵建模(finite beam compliance matrix modeling,FBMM)法构建了新型柔性铰链的柔度和精度模型,并与ANSYS Workbench软件的有限元仿真结果对比,发现柔度和精度的相对误差分别小于4.89%和4.97%,验证了理论模型的有效性。然后,讨论了结构参数对新型柔性铰链柔度、精度和柔度精度比的影响,并与椭圆型、圆弧型、正弦型多轴柔性铰链进行了比较。结果表明,所设计的柔性铰链具有柔度大、应力低的特点。最后,通过搭建柔性铰链实验平台来测试其变形情况,实测结果与理论结果的相对误差小于8%,进一步验证了柔度模型的有效性。嵌套余弦函数型多轴柔性铰链可为大行程柔顺精密定位平台的设计提供参考。The notch shapes of existing flexure hinges are primarily limited to conic sections and their combinations,which tend to fail due to excessive stress under complex loads and large angular movements.Therefore,a novel nested cosine function type multi-axis flexure hinge is designed.Firstly,based on the finite beam compliance matrix modeling(FBMM)method,the compliance and precision models of the novel flexure hinge were established.Compared with the finite element simulation results of ANSYS Workbench software,the relative errors of compliance and precision were less than 4.89%and 4.97%respectively,which verified the validity of theoretical models.Then,the effects of structural parameters on the compliance,precision and compliance-precision ratio of the novel flexure hinge were discussed,and compared with elliptic type,arc type and sinusoidal type multi-axis flexure hinges.The results indicated that the designed flexure hinge had the characteristics of high flexibility and low stress.Finally,an experimental platform for flexure hinge was built to test the deformation.The relative error between the measured results and the theoretical results was less than 8%,which further verified the validity of the compliance model.The nested cosine function type multi-axis flexure hinge can provide reference for the design of large-stroke compliant precision positioning stages.

关 键 词：多轴柔性铰链 有限梁柔度矩阵建模 柔度 应力 有限元仿真 

分 类 号：TH112[机械工程—机械设计及理论]