倒圆角直梁型柔性铰链应力分析

为研究倒圆角直梁型柔性铰链的内部应力,利用材料力学的相关知识推导出该型柔性铰链的弯曲正应力和拉/压应力计算公式。采用变截面梁单元建立该型柔性铰链的有限元模型,在一端固定,另一端承受力矩或力的边界条件下,计算分析该型柔性铰链的应力;将有限元解与所推导出的解析解进行比较,验证所推导应力计算公式的正确性。根据所推导出的应力公式,讨论倒圆角直梁型柔性铰链的内部应力与其各结构参数之间的关系。

Analysis of Stress of Corner- filleted Flexural Hinges

In order to explore the stress of corner-filleted flexural hinge,according to the basic equations of material mechanics,the design equation for calculating the bending stress and tensile or compressing stress about the flexural hinge is conducted.Based on beam element with variational cross-section,the finite element model of the flexure hinge is established;Under the border condition of fixing one side and bringing to bear moment or force on another side,the calculation of the stress about the flexural hinge is accomplished;In order to validate the correctness of the design equation for calculating the stress,the comparison between the analytic results and the results of finite element method is made.According to the design equation that was conducted,the relationship between the stress of corner-filleted flexural hinge and its geometry parameters is analyzed.