基于概率密度演化方法的随机MSCSS抗震可靠性分析
|
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。
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.
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.
引文
[1]张洵安,李涛,吴昊等.强震作用下超高层建筑结构MSCSS的响应特性研究.防灾减灾工程学报,2010,30(增刊):101-105Zhang X A,Li T,Wu H.Response Characteristics of the Super Tall Building-MSCSS Subsjected to Rare Earthquake.Journal ofDisaster Prevention and Mitigation Engineering,2010,30(Supplement):101-105(in Chinese)
[2]Feng M Q,Mita A.Vibration Control of Tall Buildings Using Mega-Sub Configuration.Journal of Engineering Mechanics,1995,121(10):1082-1087
[3]Zhang X A,Zhang J L,Wang D,et al.Controlling Characteristic Passive Mega-Sub Controlled Frame Subjected to RandomWind Loads.Journal of Engineering Mechanics,2005,131(10):1046-1055
[4]李杰.随机结构系统——分析与建模.北京:科学出版社,1996,1-4Li J.Stochastic Structural System——Analysis and Modeling.Beijing:Science Press,1996:1-4(in Chinese)
[5]Chen J B,Li J.Dynamic Response and Reliability Analysis of Nonlinear Stochastic Structures.Probabilistic Engineering Me-chanics,2005,20(1):33-44
[6]Li J,Chen J B,Fan W L.The Equivalent Extreme Value Event and Evaluation of the Structural System Reliability.StructuralSafety,2007,29:112-131
[7]Li J,Chen J B,Fan W L.The Equivalent Extreme-value Event and Evaluation of the Structural System Reliability.StructuralSafety,2007,29(2):112-131
[8]陈琳琳.随机风场研究与高耸、高层结构抗风可靠性研究.同济大学,2006,116-124Chen L L.Research on Wind Stochastic Field and Analysis of Dynamic Reliability for High-Rise Building with Wind Loading.Tongji University Dissertation,2006,116-124(in Chinese)
[9]陈建兵,李杰.非线性随机地震响应的概率密度演化分析.武汉理工大学学报,2010,32(9):6-10Chen J B,Li J.Probability Density Evolutionary Analysis for Stochastic Seismic Response of Nonlinear Structures.Journal ofWuhan University of Technology,2010,32(9):6-10(in Chinese)
[10]欧进萍,王光选.结构随机振动.北京:高等教育出版社,1995,329-380Ou J P,Wang G Y.Structural Random Vibration.Beijing:Higher Education Press,1995,329-380(in Chinese)
[11]陈建兵,李杰.随机结构反应概率密度演化分析的切球选点法.振动工程学报,2006,19(1):2-7Chen J B,Li J.Strategy of Selecting Points via Sphere of Contact in Probability Density Evolutionary Method for Response Anal-ysis of Stochastic Structures.Journal of Vibration Engineering,2006,19(1):2-7(in Chinese)
[2]Feng M Q,Mita A.Vibration Control of Tall Buildings Using Mega-Sub Configuration.Journal of Engineering Mechanics,1995,121(10):1082-1087
[3]Zhang X A,Zhang J L,Wang D,et al.Controlling Characteristic Passive Mega-Sub Controlled Frame Subjected to RandomWind Loads.Journal of Engineering Mechanics,2005,131(10):1046-1055
[4]李杰.随机结构系统——分析与建模.北京:科学出版社,1996,1-4Li J.Stochastic Structural System——Analysis and Modeling.Beijing:Science Press,1996:1-4(in Chinese)
[5]Chen J B,Li J.Dynamic Response and Reliability Analysis of Nonlinear Stochastic Structures.Probabilistic Engineering Me-chanics,2005,20(1):33-44
[6]Li J,Chen J B,Fan W L.The Equivalent Extreme Value Event and Evaluation of the Structural System Reliability.StructuralSafety,2007,29:112-131
[7]Li J,Chen J B,Fan W L.The Equivalent Extreme-value Event and Evaluation of the Structural System Reliability.StructuralSafety,2007,29(2):112-131
[8]陈琳琳.随机风场研究与高耸、高层结构抗风可靠性研究.同济大学,2006,116-124Chen L L.Research on Wind Stochastic Field and Analysis of Dynamic Reliability for High-Rise Building with Wind Loading.Tongji University Dissertation,2006,116-124(in Chinese)
[9]陈建兵,李杰.非线性随机地震响应的概率密度演化分析.武汉理工大学学报,2010,32(9):6-10Chen J B,Li J.Probability Density Evolutionary Analysis for Stochastic Seismic Response of Nonlinear Structures.Journal ofWuhan University of Technology,2010,32(9):6-10(in Chinese)
[10]欧进萍,王光选.结构随机振动.北京:高等教育出版社,1995,329-380Ou J P,Wang G Y.Structural Random Vibration.Beijing:Higher Education Press,1995,329-380(in Chinese)
[11]陈建兵,李杰.随机结构反应概率密度演化分析的切球选点法.振动工程学报,2006,19(1):2-7Chen J B,Li J.Strategy of Selecting Points via Sphere of Contact in Probability Density Evolutionary Method for Response Anal-ysis of Stochastic Structures.Journal of Vibration Engineering,2006,19(1):2-7(in Chinese)
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心