| 林晖,张优云.运用小波分析处理结构优化问题[J].计算力学学报,2000,17(3):278~286 |
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| 运用小波分析处理结构优化问题 |
| Wavelet analysis applied to structural optimization |
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| DOI：10.7511/jslx20003049 |
| 中文关键词: 小波分析 结构优化 奇异性检测 |
| 英文关键词:wavelet analysis,structural optimization,singularity detection,high dimension |
| 基金项目:国家自然科学基金资助!59990 4 72 |
| 林晖 张优云 |
| 西安交通大学润滑理论及轴承研究所!西安710049 |
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| 中文摘要: |
| 结构优化设计中，常遇到具有奇异的结构优化问题，利用小波分析在奇异性检测中的优越性，将其引入到结构优化计算中。文中分别讨论了小波分析处理低维和高维结构优化问题，并给出相应的算法及计算步骤。最后，给出较为典型的算例。通过算例表明，小波分析方法可解决具有奇异性的结构优化问题，尤其是某些较为特殊的结构优化问题。 |
| 英文摘要: |
| Wavelet theory is a newly developed analyzing technique that has been successfully applied in many fields such as image processing, signal processing etc. This technique is introduced into the Structural Optimization field, because it has the advantage of singularity detecting. In some special structural optimal problems, it is difficult to find global optimal solution by traditional method, but it is slightly easy to solve this problem by wavelet analysis. In this paper we also give preliminary study about high dimensional structural optimization with wavelet analysis. |
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