随机结构在随机载荷下的动力可靠度分析
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摘要
提出了综合考虑动载荷和结构参数双重随机性的动力可靠度分析方法。首先基于随机振动的首次超越破坏准则,参照随机变量功能函数模式,建立了随机结构动力可靠度功能函数;然后引入序列响应面法,对功能函数进行拟合;最后用JC法求解可靠指标。算例分析验证了本文方法具有较好的计算精度和计算效率,尤其在复杂工程结构的动力可靠度分析中有广阔的应用前景。
The method for dynamic reliability analysis, in which the randomicity of dynamic loads and structural parameters can be considered,is proposed. Firstly, based on First Excursion Failure Criterion of random vibration and the performance function of random variables, the performance function of dynamic reliability is established. Then, Sequential Surface Response Method is used to fit the performance function. Finally, the reliability index is obtained through JC method. An example shows the method has high accuracy and efficiency. It has wide prospect of application especially in dynamic reliability analysis of complex engineering structures.
The method for dynamic reliability analysis, in which the randomicity of dynamic loads and structural parameters can be considered,is proposed. Firstly, based on First Excursion Failure Criterion of random vibration and the performance function of random variables, the performance function of dynamic reliability is established. Then, Sequential Surface Response Method is used to fit the performance function. Finally, the reliability index is obtained through JC method. An example shows the method has high accuracy and efficiency. It has wide prospect of application especially in dynamic reliability analysis of complex engineering structures.
引文
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[10]武清玺,卓永寿.二次序列响应面法分析重力坝的动力可靠度[J].振动工程学报,2001,14(2):224~227.Wu Qingxi,Zhuo Yongshou.Dynamic reliability analysis of gravity dams using a second-order sequence response surface method[J].Journal of Vibration Engineering,2001,14(2):224~227.(in Chinese)
[2]吴再光.具有随机参数的动力系统随机地震响应分析[J].应用力学学报,1995,12(1):90~93.Wu Zaiguang.Stochastic seismic response analysis of dynamic system with random structural parameters[J].Chinese Journal of Applied Mechanics,1995,12(1):90~93.(in Chinese)
[3]李创第,李桂青,黄任常.连续随机结构在随机荷载下的动力可靠性分析[J].武汉工业大学学报,1998,20(2):119~124.Li Chuangdi,Li Guiqing,Huang Renchang.Dynamic reliability analysis of continuous random structure subjected to random loads[J].Journal of Wuhan University of Technology,1998,20(2):119~124.(in Chinese)
[4]金伟良,郑忠双,李海波.地震荷载作用下海洋平台结构物动力可靠度分析[J].浙江大学学报,2002,36(3):233~238.Jin Weiliang,Zheng Zhongshuang,Li Haibo.Analysis of dynamic reliability of offshore jacket platforms subjected to seismic action[J].Journal of Zhejiang University,2002,36(3):233~238.(in Chinese)
[5]何水清,王善.结构可靠性分析与设计[M].北京:国防工业出版社,1993.He Shuiqing,Wang Shan.Analysis and design of structural reliability[M].Beijing:Defense Industry Press,1993.(in Chinese)
[6]吴世伟.结构可靠度分析[M].北京:人民交通出版社,1990.Wu Shiwei.Analysis of structural reliability[M].Beijing:People’s Transportation Press,1990.(in Chinese)
[7]朱位秋.随机振动[M].北京:科学出版社,1998.Zhu Weiqiu.Random vibration[M].Beijing:Science Press,1998.(in Chinese)
[8]Bucher C G,Bourgund U.A fast and efficient response surface approach for structural reliability problems[J].Structural Safety,1990,7:57~66.
[9]Liu Y W,Moses F.A sequential response surface method and its application the reliability analysis of aircraft structural systems[J].Structural Safety,1994,16:39~46.
[10]武清玺,卓永寿.二次序列响应面法分析重力坝的动力可靠度[J].振动工程学报,2001,14(2):224~227.Wu Qingxi,Zhuo Yongshou.Dynamic reliability analysis of gravity dams using a second-order sequence response surface method[J].Journal of Vibration Engineering,2001,14(2):224~227.(in Chinese)
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