| 随机参数多自由度体系在平稳随机反应下的系统动力可靠性 |
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| 引用本文： | 胡太彬,陈建军,王小兵,姜培刚.随机参数多自由度体系在平稳随机反应下的系统动力可靠性[J].应用力学学报,2006,23(4):627-630. |
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| 作者姓名： | 胡太彬 陈建军 王小兵 姜培刚 |
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| 作者单位： | 西安电子科技大学,西安,710071 |
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| 基金项目： | 陕西省自然科学基金;国防科技预研项目 |
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| 摘 要： | 对具有随机参数的多自由度体系,提出了求解其系统动力可靠度上、下限的一种计算方法。考虑结构的物理和几何参数具有随机性,从结构随机响应的频域表达式出发,利用求解随机变量数字特征的代数综合法和矩法,导出了随机参数多自由度体系在平稳随机激励下的平稳随机反应均方值的数字特征,再由动力可靠性的Poisson公式导出了随机参数结构的动力可靠度的计算公式,然后根据系统可靠性分析方法,分析了随机参数多自由度体系的系统动力可靠性,最后给出了系统动力可靠度上、下限的计算公式,并给出一个算例。
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| 关 键 词： | 随机结构 多自由度体系 随机过程 动力响应 动力可靠性 |
| 文章编号： | 1000-4939（2006）04-0627-04 |
| 收稿时间： | 2005-04-11 |
| 修稿时间： | 2005-04-112005-08-30 |
System Dynamic Reliability of Multi-Degree-of-Freedom Stochastic Structure under Stationary Random Response |
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| Hu Taibin,Chen Jianjun,Wang Xiaobing,Jiang Peigang.System Dynamic Reliability of Multi-Degree-of-Freedom Stochastic Structure under Stationary Random Response[J].Chinese Journal of Applied Mechanics,2006,23(4):627-630. |
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| Authors: | Hu Taibin Chen Jianjun Wang Xiaobing Jiang Peigang |
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| Abstract: | The system dynamic reliability of multi-degree-of-freedom(MDOF) system with random parameters and its upper and lower bounds is discussed.Considering the randomness of the structural geometric dimension and physical parameters,the stochastic dynamic response of MDOF stochastic system is analyzed from the expressions of system response to stationary random excitation in frequency domain.The system dynamic reliability of MDOF stochastic system subjected to stationary random excitation is deduced by the dynamical criterion of first passage,the upper and lower bounds of system dynamic reliability of the weakest-link model are presented.The efficiency of the method is verified by an example. |
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| Keywords: | stochastic structure multi-degree-of-freedom system stationary random excitation dynamic response dynamic reliability |
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