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| Meshless local petrov-galerkin method for large deformation analysis |
| Received:August 08, 2008 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20093012 |
| KeyWord:large deformation geometrical nonlinearity MEMS meshless method local Petrov-Galerkin method |
| Author | Institution |
| 熊渊博 |
福州大学 机械工程与自动化学院,福州 ;湖南大学 力学与航空航天学院,长沙 41002 |
| 崔洪雪 |
湖南大学 力学与航空航天学院,长沙 41002 |
| 龙述尧 |
湖南大学 力学与航空航天学院,长沙 41002 |
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| Abstract: |
| In the modeling and simulation of the micro-electronic mechanical systems (MEMS) devices, the large deformation or the geometrical nonlinearity must be considered. Due to the issue of mesh distortion, the finite element method is ineffective for this large deformation analysis. However the meshless method shows its potential in this area because no mesh is need. In all the existent methods, the local Petrov-Galerkin (MLPG) method is an ideal mesh free methods. In this paper, a local meshless formulation is developed for large deformation analysis. The local radial point interpolation (RPIM) approximation is employed to construct the shape functions based on the arbitrarily distributed field nodes and the Heaviside weight function. The discrete system equation is obtained using the weighted local weak form and based on the total Lagrangian (TL) approach, which refers all variables to the initial configuration. The Newton-Raphson iteration technique is used to get the final results. Examples show the local Petrov-Galerkin method is effective for large deformation analysis. |
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