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基于概率密度演化方法的随机MSCSS抗震可靠性分析

Earthquake Resistance Reliability Analysis of Stochastic MSCSS Based on Probability Density Evolution Theory

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【作者】 李涛张洵安

【Author】 Li Tao,Zhang Xun′an(Department of Civil Engineering,Northwestern Polytechnical University,Xi′an 710072,China)

【机构】 西北工业大学力学与土木建筑学院

【摘要】 基于概率密度演化理论,结合等价极值事件的基本思想,对随机巨子型有控结构体系MSCSS(Mega-Sub Controlled Structural System)进行了随机地震激励下的可靠度分析,求得MSCSS在复杂失效准则下的可靠度,并与巨型框架结构的可靠度进行对比。结果表明,利用等价极值事件所求得的复杂失效准则下的两种结构的抗震可靠度均低于结构某一层失效的可靠度,与结构的最弱链可靠度并不相同;在随机罕遇地震作用下,MSCSS的抗震可靠度明显高于巨型框架结构,相比之下,MSCSS更为安全可靠。

【Abstract】 We use the probability density evolution theory and the idea of equivalent extreme value event to analyze the earthquake resistance reliability of the stochastic MSCSS(mega-sub controlled structural system) subjected to random seismic excitation.We also use the compound failure criteria to compute the reliability of the MSCSS and compare it with that of the mega-frame structure.Sections 1 and 2 of the full paper explain our reliability analysis mentioned in the title,which we believe is new and more effective than existing ones.Their core consists of:(1) we combine the stochastic event description with the random-dimension Lagrange description,thus obtaining the general probability density evolution equation;(2) with the idea of equivalent extreme value event,we obtain the reliability of the stochastic MSCSS expressed by the equivalent extreme value,which is given in eq.(16).The reliability analysis results,presented in Tables 1 and 2,and their analysis show preliminarily that:(1) the earthquake resistance reliability of both the MSCSS and the mega-frame structure computed with the compound failure criteria and the equivalent extreme value event are lower than that with the single failure criterion;(2) the reliability of the stochastic MSCSS is different from that of the weakest chain;(3) the reliability of the stochastic MSCSS is higher than that of the mega-frame structure,indicating that the stochastic MSCSS is more secure and reliable than the mega-frame structure.

【基金】 国家自然科学基金(51078311);教育部博士点基金(20096102110018)资助
  • 【文献出处】 西北工业大学学报 ,Journal of Northwestern Polytechnical University , 编辑部邮箱 ,2012年02期
  • 【分类号】TU352.11
  • 【被引频次】2
  • 【下载频次】117
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