Application of Element Free Method to Static and Dynamic Analyses of beams

• Main Author: 詹志偉
• Other Authors: 黃炯憲
• Format: Others
• Language: zh-TW
• Published: 2007
• Online Access: http://ndltd.ncl.edu.tw/handle/79509948149393671522

碩士 === 國立交通大學 === 土木工程系所 === 95 === The meshfree method has attracted lots of attentions from the researchers in the field of numerical analysis in the recent two decades. The meshfree method has the advantage over the finite element method on constructing shape function without predefining meshes. The development of the meshfree method is still far away from maturity. Accordingly, the main purpose of the work is to study comprehensively the convergence behaviors of the solutions obtained from the element free Galerkin method. The element free Galerkin method is applied to analyze a beam under static loading and to determine the natural frequencies of a beam. The used shape functions are constructed by the moving least squares method or radial basis function approach. The accuracy of the solutions influenced by the parameters such as the type of weighting function and basis function, the number of nodes is extensively investigated.