Analytical Compliance Model for Right Circle Flexure Hinge Considering the Stress Concentration Effect
Analytical Compliance Model for Right Circle Flexure Hinge Considering the Stress Concentration Effect
复制标题
考虑应力集中效应的右圆柔性铰链解析柔度模型
DOI：
10.1007/s12541-019-00306-7
复制
发表时间：
2020-05-01
影响因子：
1.9
通讯作者：
Xie Ziming
中科院分区：
文献类型：
--
作者：
Tuo Weixiao;Li Xingfei;Xie Ziming
提出了一种考虑应力集中的直圆柔性铰链柔度分析模型。截面变化引起的应力集中通常发生在钢筋混凝土柱的最薄弱点。它已被证明严重影响RCFH的柔度计算。基于虚功理论、变形叠加关系以及卡氏第二定理，建立了考虑应力集中效应的RCFH柔度解析模型。该模型的计算是一系列与几何尺寸和所用材料有关的封闭式方程。通过与其它文献的比较，证明了柔度方程中存在的复杂定积分的正确计算。最后，为了检验所建立模型的有效性，进行了有限元分析（FEA）。在较宽的几何尺寸范围内，所建模型的理论计算值与有限元分析结果的相对误差均在20%以内。
In this paper, an analytical compliance model for right circle flexure hinge (RCFH) is presented with the stress concentration in consideration. The stress concentration caused by changes in RCFH's cross-section usually happens at the weakest point. It has been shown to seriously affect RCFH's compliance calculation. Based on the virtual work theory, superposition relationship of the deformation, as well as Castigliano's second theorem, RCFH's analytical compliance model considering the stress concentration effect is established. The model is calculated as a series of closed-form equations which are related with geometric dimensions and employed material. Complicated definite integrals existing in these compliance equations are proved to be correctly calculated through comparisons with other literatures. Finally, in order to examine the validity of the established model, finite element analysis (FEA) is conducted. The relative errors between the theoretical values obtained by the established model and FEA results are found within 20% for a wide range of geometric dimensions.