| 陈建兵,李杰.结构随机动力非线性反应的整体灵敏度分析[J].计算力学学报,2008,25(2):169~176 |
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| 结构随机动力非线性反应的整体灵敏度分析 |
| Global sensitivity in nonlinear stochastic dynamic response analysis of structures |
| 修订日期：2005-12-07 |
| DOI：10.7511/jslx20082034 |
| 中文关键词: 结构,非线性,参数子集,整体随机灵敏度,密度演化理论 |
| 英文关键词:structure,nonlinear,subset of the parameters,global stochastic sensitivity,probabimity density evolution method |
| 基金项目:国家自然科学基金
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国家自然科学基金 |
| 陈建兵 李杰 |
| 同济大学土木工程学院 上海200092 |
| 摘要点击次数: 1462 |
| 全文下载次数: 9 |
| 中文摘要: |
| 以随机参数或参数子集对目标函数总方差的相对贡献作为该参数或参数子集的整体随机灵敏度度量,定义了一类整体随机灵敏度指标。结合结构非线性随机反应分析的密度演化方法,给出了计算整体随机灵敏度指标的基本算法。该灵敏度指标物理意义明确、计算实施方便。以滞回结构非线性反应分析为例,考察了以位移反应和滞回耗能为目标函数的不同随机参数(子集)的灵敏度指标。分析表明,不同随机参数(子集)对不同目标函数的灵敏度差异甚大,并且随机参数可能对结构反应的总方差产生负贡献。 |
| 英文摘要: |
| Measured by the relative contribution to the total variance of the target functions,a family of global stochastic sensitivity indices of random parameters or subset of the random parameters is defined.The Sobol' sensitive indices and their improvements,based on orthogonal decomposition of target function and according to partition of the total variance,are firstly revisited.As a family of global sensitivity indices,the idea of partition of the total variance is employed but implemented in a different way,yielding a new family of global sensitive indices.It is proved that this family of indices is essentially based on partially orthogonal decomposition of the target function.Combining with the probability density evolution method for nonlinear stochastic response analysis of structures,computational algorithm of the global stochastic sensitivity indices is outlined.The proposed iodices are of clear physical sense and conveniently computable.A hysteretic structure is taken as an example.The investigations indicate that the global stochastic sensitivity indices of different parameters are quite distinct to different target functions.Moreover,in some cases,in contrast to possible intuition tie randomness of parameters(or subset of parameters) may contribute negatively to the total variance of the target functions. |
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