摘要
提出了一类基于摆线方程切口的新型柔性铰链。利用变截面梁弯曲理论推导其转动刚度数学模型,根据微元法下的胡克定律叠加原理推导其拉伸刚度的数学模型,通过有限元验证了计算公式的正确性,讨论了结构参数对转动刚度的影响关系和显著程度,比较了新型柔性铰链与传统柔性铰链的性能。分析表明转动刚度与弹性模量、宽度和最小厚度成正比,而与拱高参数成反比,且对最小厚度的变化最敏感,新型柔性铰链的柔度仅次于椭圆型,相较于圆弧型和抛物线型柔铰对载荷的敏感程度平均提高了10%和30%以上,新型摆线柔铰为柔性铰链的设计选型提供了新思路。
A novel type of flexure hinge based on cycloid equation notch is proposed.Based on the bending theory of variable cross-section beam,the mathematical model of its corner stiffness is deduced.According to the superposition principle of Hooke’s law under the infinitesimal method,the mathematical model of its tensile stiffness is deduced.The correctness of the calculation formula is verified by finite element method.The influence of structural parameters on corner stiffness and its significance are discussed.The performances of new flexure hinge and traditional flexure hinge are compared.The analysis shows that the corner stiffness is proportional to the elastic modulus,width and minimum thickness,but inversely proportional to the arch height parameter,and is most sensitive to the change of minimum thickness.The flexibility of the new type flexure hinge is only inferior to that of the ellipse type.Compared with the circular and the parabolic flexure hinge,the sensitivity of the new type flexure hinge to load is increased by 10%and 30%on average.The new cycloid flexure hinge provides a novel idea for the design and selection of the flexure hinge.
作者
李成
何涛
陈明亮
陈国瑜
王传礼
LI Cheng;HE Tao;CHEN Mingliang;CHEN Guoyu;WANG Chuanli(College of Mechanical Engineering,Anhui University of Science&Technology,Huainan Anhui 232001,China;Jiangsu Key Laboratory of Mine Mechanical and Electrical Equipment(China University of Mining and Technology),Xuzhou Jiangsu 221116,China)
出处
《机械设计与研究》
CSCD
北大核心
2020年第2期12-15,共4页
Machine Design And Research
基金
国家自然科学基金资助项目(51675003)
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项目(JSKF-MMEE-2018-4)
安徽理工大学青年教师科学研究基金项目(QN2017207)。
关键词
柔性铰链
转角刚度
拉伸刚度
有限元分析
flexure hinge
corner stiffness
tensile stiffness
finite element analysis
