大连理工大学学报Issue(5)：498-503,6.DOI:10.7511/dllgxb201505008
船舶结构Daubechies小波基无网格分析方法研究
Study of meshless analysis method for ship structures based on Daubechies wavelet basis theory
摘要
Abstract
A new meshless analysis method is proposed using Daubechies wavelet scaling function to approximate the field function of ship structure.Firstly,Daubechies wavelet with compact support and orthogonality feature is chosen as the basis function,and using the wavelet scaling function with the tensor product form, the approximate expression of the two-dimensional ship structure is constructed and the complexity of solving problem is reduced.And then,by the incremental method, the field function of the two-dimensional ship structure is solved iteratively with the meshless field function of Daubechies wavelet.Finally,typical examples of ship structures are selected,and the calculation results are compared with those of the finite element method (FEM)to verify the validity of the proposed method.关键词
船舶结构分析/Daubechies小波基/尺度函数/无网格法/二维弹性问题Key words
ship structural analysis/Daubechies wavelet basis/scaling function/meshless method/2D elastic problem分类
交通工程引用本文复制引用
陈建平,唐文勇..船舶结构Daubechies小波基无网格分析方法研究[J].大连理工大学学报,2015,(5):498-503,6.基金项目
国家自然科学基金资助项目(重点项目51239007) （重点项目51239007）
工信部高技术船舶科研项目(重大专项) （重大专项）
广东省自然科学基金资助项目(2014A030313792) （2014A030313792）
