状态空间有限元法分析固支叠层结构热应力  

Thermal stress analysis of clamped laminated structure based on state-space finite element method

作　　者：沈宇昂 梁拥成 郑兴伟 韩志林 SHEN Yu ang;LIANG Yongcheng;ZHENG Xingwei;HAN Zhilin(College of Science,Donghua University,Shanghai 201620,China)

机构地区：[1]东华大学理学院,上海201620

出　　处：《东华大学学报（自然科学版）》2023年第4期146-153,共8页Journal of Donghua University(Natural Science)

基　　金：国家自然科学基金青年基金(12002084)

摘　　要：为分析复合叠层材料在热应力条件下的力学特征,建立求解二维叠层结构在温度载荷作用下的半解析状态空间方程。沿叠层的水平方向使用Lagrange单元离散和B样条单元离散位移及应力分量,在垂直方向分别采用通解法和精细积分法求解状态空间方程。针对某给定的温度载荷进行热应力分析,参考有限元结果,对比Lagrange单元离散和B样条单元离散方法以及通解法和精细积分法的有效性。研究结果表明:B样条单元离散的的计算精度比Lagrange单元离散高;相较于通解法,精细积分法的精度更高、求解速度更快。A semi-analytic state-space equation for solving a thermal stress problem of a two-dimensional clamped laminated structure subjected to temperature loading was developed.The method employed Lagrange and B-spline elements to interpolate the displacements and stresses horizontally,while the general solution and the precise integration method were respectively implemented to solve the state-space equations vertically.The thermal stresses were analyzed under a given temperature load.The efficiency of the two of Lagrange and B-spline discretization methods,and the general solution and precise integration and the two solution schemes were compared with respect to the finite element results.The results show that the performance of B-spline elements is more accurate than the one of Lagrange elements.In the meantime,t The precise integration method is more accurate and faster than implementing the general solution.

关 键 词：状态空间法 有限元法 LAGRANGE插值 B样条插值 

分 类 号：O343.6[理学—固体力学]