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| Approximation model based nonlinear interval number optimization method and its application |
| Received:October 21, 2008 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20103012 |
| KeyWord:uncertain optimization interval number nonlinear optimization radial basis function approximation model optimization of structural crashworthiness |
| Author | Institution |
| 赵子衡 |
湖南大学 汽车车身先进设计制造国家重点实验室,长沙 |
| 韩旭 |
湖南大学 汽车车身先进设计制造国家重点实验室,长沙 |
| 姜潮 |
湖南大学 汽车车身先进设计制造国家重点实验室,长沙 |
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| Abstract: |
| The nested optimization existing in the nonlinear interval number optimization will lead to a low efficiency. An efficient method is suggested to promote the efficiency based on approximation models using the radial basis functions. Firstly, the approximation models are created for the objective function and constraints with the samples obtained from Latin hypercube design method. The actual models are replaced by the approximation models and this approximate optimization problem is solved by the nonlinear interval number optimization method. The computation efficiency is improved greatly and whereby it seems possible to apply the nonlinear interval number optimization method to practical engineering problems. A numerical test is investigated to demonstrate the effectiveness of the present method, and this method is successfully applied to the structural crashworthiness optimization of a thin-wall beam. |