| 结构可靠性优化中的灵敏度分析 |
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| 引用本文： | 陈建军,马洪波,戴君,崔明涛.结构可靠性优化中的灵敏度分析[J].应用力学学报,2002,19(1):14-17. |
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| 作者姓名： | 陈建军 马洪波 戴君 崔明涛 |
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| 作者单位： | 西安电子科技大学,西安,710071 |
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| 摘 要： | 文中构建了基于可靠性的工程结构优化设计数学模型，并利用二阶矩理论将结构位移和单元应力可靠性约束进行了等价化处理，在此基础上导出了位移和应力的可靠性指标函数对设计变量的灵敏度计算表达式。这一表达式简洁规范并具有普遍性，对于类似以二阶矩形式表出的可靠性指标函数的灵敏度求解均成立。算例表明本文给出的基于可靠性的结构敏度计算公式是有效和正确的。
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| 关 键 词： | 结构优化 可靠性约束 灵敏度分析 工程结构 单元应力 |
| 文章编号： | 1000-4939(2002)01-0014-04 |
| 修稿时间： | 2000年10月24 |
Sensitivity Analysis for Reliability Constraints of Structures |
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| Chen Jianjun Ma Hongbo Dai Jun Cui Mingtao.Sensitivity Analysis for Reliability Constraints of Structures[J].Chinese Journal of Applied Mechanics,2002,19(1):14-17. |
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| Authors: | Chen Jianjun Ma Hongbo Dai Jun Cui Mingtao |
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| Abstract: | The optimum design mathematical model of engineering stru ctures based on reliability is constructed.The reliability constraints of struc tural displacement and stress are equivalence treated by means of the theory of second order moment in structural reliability,and then the sensitivity expressi ons of reliability index function of displacement and stress are derived.Those expressions are laconic and normative,and have universality,which are applicab le to solve the similarity sensitivity analysis problem.The example shows that the computational ex pressions of structural sensitivity presented in the paper are rational and efficient. |
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| Keywords: | Structural optimization Reliability constraints Displace ment Stress Sensitivity analysis |
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