第23卷
：第1期
2015年1月
文章编号
1004-924X(2015)01-0206-10
光学精密工程
Optics and Precision Engineering
深切口椭圆柔性铰链优化设计
卢倩，黄卫清，，王寅，孙梦馨
Vol. 23No.1
Jan.2015
（南京航空航天大学机械结构力学及控制国家重点实验室，江苏南京210016）
摘要：考虑深切口圆形柔性铰链比其他常用的柔性链更适用于具有大行程要求的柔性机构，本文对其进行了优化设计。建立了深切口榄圆形柔性铰链的刚度模型，探讨了结构参数对其转动刚度的影响。分析了深切口椭圆柔性链的柔度矩阵，利用Newton-cotes求积公式简化了柔度系数的计算，在此基础上构建了多目标加权优化模型，利用模糊优化设计方法对各结构参数进行了优化设计。优化结果表明：绕乙轴旋转的角位移提高了16.72%；绕Y轴旋转角位移下降了16.01%；沿X轴、Y轴和Z轴产生的线位移分别下降了10%、29.33%和51.84%。数据显示；经过优化的柔性铰链在所期望的乙轴方向上的转动能力得到了提高，同时抑制了其他方向上的运动能力，从而提高了柔性铰链的整体运动精度和结构柔度，可用于高精密、大行程光波导封装定位平台。
关
键调：糖围柔性铰链；深切口；刚度模型；柔度矩阵；多目标优化；模棚优化
中图分类号：TH132
文献标识码：A
doi:10,3788/OPE.20152301.0206
Optimizationdesignofdeep-notchellipticalflexurehinges
LU Qian,HUANGWei-qing，WANGYin,SUNMeng-xin
(State Key Laboratory of Mechanics and Control of Mechanical Structures NanjingUniversityof AeronauticsandAstronautics,Nanjing210016,China)
Correspondingauthor，E-mail:mehwq@nuaa.edu.cn
Abstract: Deep-notch elliptical flexure hinges are more suitable for a flexible mechanism with large stroke requirements as compared with other common flexure hinges, so this paper optimizes their design. The stiffness model of deep-notch elliptical flexure hinges was established firstly, and the impact of structural parameters on the rotational stiffness was also discussed in detail. Then, the flexibility matrix was analyzed by using Newton-cotes quadrature formula to simplify the calculation of flexibility coefficients, and each structural parameter was optimized by fuzzy optimization method based on the multi-objective optimization model. The results of optimization show that the angular displacement rotated with the Z axis is improved by 16. 72%, while that rotated with the Y axis is decreased by 16. 01%, and the linear displacements along the axes X,Y,Z are decreased by 10%, 29.33% and 51.84%, respectively.After optimization,the rotation capacity of Z axis has been improved and the transmission capacities in other directions are both inhibited, so that the movement accuracy and structural flexibility are enhanced, The test results demonstrate that the optimized deep notch elliptical flexure hinges meet the requirements of high-precision and large travel of waveguide package positioning platforms.
Key words: elliptical flexure hinge; deep-notch; stiffness model; flexibility matrix; multi-objective
optimization;fuzzy optimization
收稿日期：2014-06-19；修订日期：2014-08-21.
基金项目：国家自然科学基金资助项目（No.51375224)；江苏高校优势学科建设工程基金资助项目