基于板-梁理论的FGM双轴对称箱形截面组合扭转理论与有限元验证

Combined Torsion Theory and its Finite Element Verification of Functionally Graded Material(FGM)Biaxial Symmetric Box Section Based on Plate-beam Theory

基于板梁理论研究FGM双轴对称箱形截面组合扭转理论与有限元验证.首先,选取弹性模量变化函数,建立能量变分模型,引入无量纲参数,获得双轴对称箱形截面组合扭转的近似解析解;然后,利用微分方程模型计算双轴对称箱形截面组合扭转的精确解析解,给出微分方程解答;最后,利用ANSYS有限元分析软件进行验证,将本文研究所得解析解和ANSYS有限元分析软件得出的解析解进行对比,对比结果验证了本文理论推导及所给出的自由扭转刚度、约束扭转刚度表达式的正确性.

This periodical aims to investigate the dynamic characteristics of functionally graded materials(FGM)to solve the combined torsion theory and finite element analysis of functionally graded material biaxial symmetric box section based on plate-beam theory.Initially,the elastic modulus change function is selected,an energy variational model is established,and dimensionless parameters are introduced to derive an approximate analytical solution for the combined torsion of biaxially symmetric box sections.Subsequently,the differential equation model is employed to calculate the accurate analytical solution for the combined torsion of biaxially symmetric box sections.Using the biaxially symmetric box section as a case study,this paper presents the differential equation solution and validates it through ANSYS finite element analysis software.Finally,a comparison is made with the analytical solution obtained using ANASY finite element analysis software.