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| Meshless local Petrov-Galerkin analyses of shell structure |
| Received:March 01, 2007 |
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| DOI：10.7511/jslx20094010 |
| KeyWord:Meshless method meshless local Petrov-Galerkin method shell weak form of equivalent integration for differential equation moving least square |
| Author | Institution |
| 李迪 |
上海交通大学 机械学院,上海 ;山东理工大学,淄博 |
| 林忠钦 |
上海交通大学 机械学院,上海 |
| 李淑惠 |
上海交通大学 机械学院,上海 |
| 陈关龙 |
上海交通大学 机械学院,上海 |
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| Abstract: |
| Because of the high order of continuity of approximation functions, Meshless method could express the surface and displacement of a shell very well. The meshless local Petrov-Galerkin method (MLPG) was a truly meshless one as it did not need any finite element or boundary element mesh, either for purpose of interpolation of the solution, or for the integration of the energy. MLPG method for solving Mindlin shell structure was represented and discussed. The present method used the moving least-squares approximation to interpolate the solution variables, and employed a local weak form. The numerical examples presented on barrel vault roof, pinched cylinder and geometrically non-linear analysis of shell structure, show that high accuracy, the stablility and the quick convergence of the present method, comparing with those obtained by finite element method and theoretical computation. |
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