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| Improvement on recursive stochastic finite element method |
| Received:May 23, 2008 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20102005 |
| KeyWord:random structures non-orthogonal polynomial expansion stochastic finite element method galerkin project scheme calculation precision |
| Author | Institution |
| 黄斌 |
武汉理工大学 土木工程与建筑学院,武汉 |
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| Abstract: |
| Combining recursive stochastic finite element method and Galerkin project scheme, an improving method on solving random problem with finite elements was presented. Convergent non-orthogonal polynomial expansion in random space was used to express random structural response because of randomness of material characteristics, external load and sectional geometric shape and so on. After modification coefficients were defined, Galerkin method was utilized to project random equilibrium equation on non-orthogonal polynomial basis and determinate finite element equations which number is equal to the order number of polynomial expansion are obtained. Through solving the determinate equations, the modification coefficients can be got. Numerical examples show that result precision of the new improved method is much better than that of original recursive stochastic finite element method. Compared with spectral stochastic finite element method, the calculation cost of the present method is significantly reduced when the two methods have the same calculation precision. |
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