薄板弯曲问题数值计算的有限元法研究  

Discussions on Numerical Computation ofSheet-Curved Problems by FEM

作　　者：贺利敏 HE Limin(Shanxi Vocational University of Engineering Science and Technology,Basic Course Teaching Department,Taiyuan 030006,China)

机构地区：[1]山西工程科技职业大学基础课教学部,太原030006

出　　处：《太原师范学院学报（自然科学版）》2023年第2期24-28,共5页Journal of Taiyuan Normal University:Natural Science Edition

摘　　要：有限元方法是进行科学计算的重要方法,其分析处理手段在众多工程技术领域都得到充分应用.在Ritz-Galerkin有限元法思想指导下,对给定边界条件下一种薄板弯曲问题的微分方程应用有限元方法分析讨论,得到了与有限差分法求解非常接近的结果,是用有限元法进行板壳弯曲问题数值计算的有益探讨.Finite Element Method(FEM)is an important method for scientific calculation,and its analyzing and processing methods have been fully applied in many engineering and technical fields.under the guidance of Ritz-Galerkin FEM,the differential equation of a sheet-curved problem in the given boundary condition is analyzed and discussed by finite element method,which resulted in the conclusion similar to the outcome obtained from the finite difference method.Therefore,this is a useful discussion on numerical calculation of board-shell bending problems by Finite Element Method.

关 键 词：有限元方法 数值离散技术 薄板弯曲问题 线性方程组 

分 类 号：O242[理学—计算数学]