【摘要】 分析了以小波基取代传统无单元法中多项式基的原因,阐述了小波基无单元法的基本原理,并将其与有限元法在基本思路、形函数、位移边界条件、计算精度和适用范围等方面的区别进行了比较研究,最后通过算例验证了B-样条小波基在无单元法中应用的可行性以及小波基无单元法相对于有限元法的优势。更多还原

【Abstract】 The reason that wavelet basis is used as a substitute for traditional polynomial basis in Element-Free Galerkin Method (EFG) is analyzed and the fundamental is expounded. Comparisons are made between EFG with wavelet basis and Finite Element Method (FEM) on theories, shape functions, displacement boundary conditions, accuracy and applicable areas. Finally the feasibility of B-splines wavelet basis in EFG and the advantage of this method are verified through an example.更多还原