摘要
介绍了无网格法的研究历史和发展现状,以及移动最小二乘(MLS)法的基本原理,给出了EFG全局弱式控制方程,再将二维无网格伽辽金法应用于固体力学典型问题——悬臂梁问题,并将其结果与其解析解对比.仿真实验结果表明,EFG法能很好地处理固体力学中的有关问题.
The research history and current state of Mesh-free methods are firstly introduced. The principle of MLS method is described emphatically. Then derivational process of EFG method controlling equation of weak form is given. Finally two dimensional EFG methods are applied to typical problem of solid mechanics, that is, cantilever. EFG's results are compared with analytical solutions. Simulation experimental results show that EFG method is fairly good to handle problems in solid mechanics.
出处
《上海电力学院学报》
CAS
2012年第1期89-92,共4页
Journal of Shanghai University of Electric Power
基金
国家自然科学基金(51107080)
上海市教育委员会科研创新项目(09YZ340)
上海市教育委员会重点学科建设项目(J51301)