| 李洪双,吕震宙.结构可靠性分析的支持向量机响应面法[J].计算力学学报,2009,26(2):199~203 |
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| 结构可靠性分析的支持向量机响应面法 |
| A support vector machine response surface method for structural reliability analysis |
| 投稿时间：2007-06-07 |
| DOI：10.7511/jslx20092009 |
| 中文关键词: 隐式极限状态 结构可靠度 响应面法 支持向量回归机 |
| 英文关键词:implicit limit state structural reliability response surface method support vector regression |
| 基金项目:国家自然科学基金(10572117,50875213);新世纪优秀人才支持计划(NCET-05-0868);航空基础基金(2007ZA53012);863计划课题(2007AA04Z401)资助项目. |
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| 中文摘要: |
| 针对隐式极限状态可靠性分析问题,提出了一种支持向量机响应面法,该方法采用了与经典响应面法类似的迭代思想,由支持向量回归机替代经典响应面法中的固定多项式函数来构建响应面,并结合一次二阶矩法形成迭代过程。在此基础上,还对训练样本提出了一种改进的选取方法,从而进一步提高方法的效率。文中将所提方法与多种经典可靠性分析方法的计算结果对比分析,改进的支持向量机响应面法精度较高,调用结构分析程序的次数最少。 |
| 英文摘要: |
| In order to predict failure probability of implicit performance function for complex structures, a support vector machine response surface method (SVMRSM) is presented to alleviate the computational effort. The iterative concept of the proposed method is similar as that of classical response surface method (RSM). The support vector regression (SVR) is employed to establish the surrogate of the implicit performance function in SVMRSM; however, the rigid polynomial is employed in the classical RSM. SVR model is then connected to the first order reliability method (FORM) to calculate reliability index and form an iterative process. Moreover, an improved method is proposed for the selection of training samples, by which the efficiency of SVMRSM is improved further. Several comparisons using explicit or implicit performance functions are presented to illustrate the proposed method for structural reliability analysis. The SVMRSM is found to yield higher accurate results and to be most efficient. |
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