基于无网格法求解悬臂深梁  

Based on Meshless Method Solving the Cantilever Beam

作　　者：蒋博[1] 茹忠亮[1] 

机构地区：[1]河南理工大学土木工程学院,焦作454000

出　　处：《科学技术与工程》2013年第32期9613-9618,共6页Science Technology and Engineering

基　　金：国家自然科学基金项目(41172244)资助

摘　　要：针对悬臂深梁的求解问题,基于无网格加辽金法基本理论建立了线弹性方程的弱式形式,得到了线刚度矩阵下离散化的系统方程,研究了离散点处形函数的性质,并对悬臂深梁的位移、挠度变形和解析解做了对比,获得较好的计算精度,从而验正了该方法的合理性与有效性。For solving the problem of deep beams cantilever, method based on meshless Galerkin method basic theory, established the weak form of the linear elastic equation is established and the line under the stiffness matrix equation discretization of the system is gotten. To compare the cantilever deep beam displacement and deflection to the analytical solution, good computational accuracy are obtained, which verify the validity and feasibility of the method.

关 键 词：无网格加辽金法 线弹性方程 形函数 悬臂深梁 

分 类 号：O343.1[理学—固体力学]