A Study of the Weighted Nodal Fitting Method
| Autor: | Ho, Wen-Ching, 何文欽 |
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| Rok vydání: | 1998 |
| Druh dokumentu: | 學位論文 ; thesis |
| Popis: | 86 In this thesis, a new numerical method, which is very similar to the conventional finite element method, is presented. The displacement field within each deformable body is approximated by a so-called "weighted nodal fitting method"(WNFM). This WNF method has a more general mathematical background than the conventional finite element method. The release of connectivity requirements among nodal points and elements makes this WNF method have a more flexible numerical data structure in its pre- and post-processing schemes. The total potential energy of the system is calculated by integrating the potential of each independent cellular within the domain. The potential is calculated by the corresponding approximation functions provided by the WNF scheme. Formulations of the WNF method using complete or partial quadratic polynomial base function are presented first. Then, properties of the weighting function and schemes of nodal point selections are discussed in detail. In this WNF method, continuous and smooth displacement and stress fields in the entire domain can be constructed to study problems with local stress concentration effect or high stress distribution gradient. The accuracy and efficiency of this new method are evaluated by some numerical benchmark problems. |
| Databáze: | Networked Digital Library of Theses & Dissertations |
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