考虑冗余度的杆系结构构件重要性评价方法
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摘要
为杆系结构的安全性与合理设计提供科学性依据,本文基于冗余度理论提出一种定量评价铰接杆系结构构件重要性的方法.首先,基于单元冗余度分布的均衡性,定义杆系结构单元冗余度标准差和单元冗余度平均值的商为结构冗余度分布系数.其次,通过考察拆除不同构件的情况下,剩余结构冗余度分布系数的大小来定量分析杆系结构构件重要性,并定义剩余结构冗余度分布系数为构件重要性系数.算例分析表明,冗余度分布系数可以反映结构分布的均匀性,本文方法可以定量评价杆系结构构件重要性:结构冗余度分布系数越小则结构冗余分布越均匀,结构鲁棒性越好;构件j对应的剩余结构单元冗余度分布系数越大,说明拆除杆件j对结构鲁棒性的影响越大,构件重要性越高.
An evaluation method for the component importance of pin-jointed structures based on the redundancy theory was proposed. On the basis of the uniformity of the element-redundancy,the quotient of the standard deviation and the mean value of the element-redundancy was defined as the redundancy distribution index. The component importance of pin-jointed structures was evaluated by the redundancy distribution indexes of the remaining structures in the cases with different component removals. The redundancy distribution indexes of the remaining structures were defined as the component importance indexes. Three practical examples were given for illustration. The results showed that the redundancy distribution index can reflect the uniformity of the elementredundancy,and the proposed method is able to effectively evaluate the component importance of pin-jointed structures. The smaller the redundancy distribution index is,the more uniform the structural redundancy distribution is,which indicates better structural robustness. The higher the component importance index is,the greater the impact of corresponding member on the structural robustness is.
An evaluation method for the component importance of pin-jointed structures based on the redundancy theory was proposed. On the basis of the uniformity of the element-redundancy,the quotient of the standard deviation and the mean value of the element-redundancy was defined as the redundancy distribution index. The component importance of pin-jointed structures was evaluated by the redundancy distribution indexes of the remaining structures in the cases with different component removals. The redundancy distribution indexes of the remaining structures were defined as the component importance indexes. Three practical examples were given for illustration. The results showed that the redundancy distribution index can reflect the uniformity of the elementredundancy,and the proposed method is able to effectively evaluate the component importance of pin-jointed structures. The smaller the redundancy distribution index is,the more uniform the structural redundancy distribution is,which indicates better structural robustness. The higher the component importance index is,the greater the impact of corresponding member on the structural robustness is.
引文
[1] CEN. Eurocode:Basis of structural design:EN 1990:2002[S].Brussels:CEN/TC 250,2002
[2] CEN. Eurocode 1:Actions on structures part 1-7:general actionsaccidental actions:EN 1991-1-7:2006[S]. Brussels:CEN/TC250,2002
[3] ASCE. Minimum design loads for buildings and other structures:SEI/ASCE7-05[S]. Reston:American Society of Civil Engineers,2005
[4] Design of buildings to resist progressive collapse:UFC4-023-03[S]. Washington D.C:Unified Facilities Criteria,2009
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[6]建筑结构荷载规范:GB 5009—2012[J].北京:中国建筑工业出版社,2012
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[8]高扬,刘西拉.结构鲁棒性评价中的构件重要性系数[J].岩石力学与工程学报,2008,27(12):2575
[9]叶列平,林旭川,曲哲,等.基于广义结构刚度的构件重要性评价方法研究[J].建筑科学与工程学报,2010,27(1):1
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[11]刘文政,叶继红.杆系结构的拓扑易损性分析[J].振动与冲击,2012,31(17):67
[12]朱丽华,王宁娟,戴军.基于客观赋权法的构件重要性评估[J].建筑科学与工程学报,2015,32(4):46
[13]田黎敏,魏建鹏,郝际平,等.基于多重响应的大跨度空间网格结构重要构件评估方法[J].湖南大学学报(自然科学版),2016,43(11):39
[14]GHARAIBEH E S, FRANGOPOL D M, ONOUFRIOU T.Reliability-based importance assessment of structural members with applications to complex structures[J]. Computers&Structures,2002,80(12):1113. DOI:10.1016/S0045-7949(02)00070-6
[15]杨逢春.基于结构体系可靠度的空间结构杆件重要性分析[D].杭州:浙江大学,2015
[16]NAFDAY A M. System safety performance metrics for skeletal structures[J].Journal of Structural Engineering,2008,134(3):499.DOI:10.1061/(ASCE)0733-9445(2008)134:3(499)
[17]AGARWAL J,BLOCKLEY D I. Vulnerability of structural systems[J]. Structural Safety,2003,25:263. DOI:10.1016/S0167-4730(02)00068-1
[18]樊学平,吕大刚.基于BDNM的桥梁结构可靠度预测[J].哈尔滨工业大学学报,2014,46(2):1FAN Xueping, LDagang. Reliability prediction of bridge structures based on BDNM[J]. Journal of Harbin Institute of Technology,2014,46(2):1. DOI:10. 11918/j. issn. 0367-6234.2014.02.001
[19]吕大刚,宋鹏彦,王光远.考虑统计不确定性的结构可靠度分析方法[J].哈尔滨工业大学学报,2011,43(8):11.DOI:10.11918/j.issn.0367-6234.2011.08.003LDagang, SONG Pengyan,WANG Guangyuan. Reliability analysis methods of structures considering statistical uncertainty[J].Journal of Harbin Institute of Technology,2011,43(8):11.DOI:10.11918/j.issn.0367-6234.2011.08.003
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[21]STRBEL D. Die anwendung der ausgleichungsrechnung auf elastomechanische systeme[D]. Munchen:Universitt Stuttgart,1995
[22]朱红飞.索杆体系的冗余度及其特性分析[D].上海:上海交通大学,2012
[23]ZHOU Jinyu, CHEN Wujun, ZHAO Bin, et al. Distributed indeterminacy evaluation of cable-strut structures:formulations and applications[J].Journal of Zhejiang University,2015,16(9):737.DOI:10.1631/jzus.A1500081
[24]袁行飞,蒋淑慧,丁锐.梁系结构冗余度及其特性分析[J].建筑结构学报,2016,37(11):167
[25]史荣昌,魏丰.矩阵分析[M].北京:北京理工大学出版社,1996:16
[2] CEN. Eurocode 1:Actions on structures part 1-7:general actionsaccidental actions:EN 1991-1-7:2006[S]. Brussels:CEN/TC250,2002
[3] ASCE. Minimum design loads for buildings and other structures:SEI/ASCE7-05[S]. Reston:American Society of Civil Engineers,2005
[4] Design of buildings to resist progressive collapse:UFC4-023-03[S]. Washington D.C:Unified Facilities Criteria,2009
[5]高层建筑混凝土结构技术规程:JGJ 3—2010[S].北京:中国建筑工业出版社,2010
[6]建筑结构荷载规范:GB 5009—2012[J].北京:中国建筑工业出版社,2012
[7]柳承茂,刘西拉.基于刚度的构件重要性评估及其与冗余度的关系[J].上海交通大学学报,2005,39(5):746
[8]高扬,刘西拉.结构鲁棒性评价中的构件重要性系数[J].岩石力学与工程学报,2008,27(12):2575
[9]叶列平,林旭川,曲哲,等.基于广义结构刚度的构件重要性评价方法研究[J].建筑科学与工程学报,2010,27(1):1
[10]何江飞,高博青.桁架结构的易损性评价及破坏场景识别研究[J].浙江大学学报(工学版),2012,46(9):1634
[11]刘文政,叶继红.杆系结构的拓扑易损性分析[J].振动与冲击,2012,31(17):67
[12]朱丽华,王宁娟,戴军.基于客观赋权法的构件重要性评估[J].建筑科学与工程学报,2015,32(4):46
[13]田黎敏,魏建鹏,郝际平,等.基于多重响应的大跨度空间网格结构重要构件评估方法[J].湖南大学学报(自然科学版),2016,43(11):39
[14]GHARAIBEH E S, FRANGOPOL D M, ONOUFRIOU T.Reliability-based importance assessment of structural members with applications to complex structures[J]. Computers&Structures,2002,80(12):1113. DOI:10.1016/S0045-7949(02)00070-6
[15]杨逢春.基于结构体系可靠度的空间结构杆件重要性分析[D].杭州:浙江大学,2015
[16]NAFDAY A M. System safety performance metrics for skeletal structures[J].Journal of Structural Engineering,2008,134(3):499.DOI:10.1061/(ASCE)0733-9445(2008)134:3(499)
[17]AGARWAL J,BLOCKLEY D I. Vulnerability of structural systems[J]. Structural Safety,2003,25:263. DOI:10.1016/S0167-4730(02)00068-1
[18]樊学平,吕大刚.基于BDNM的桥梁结构可靠度预测[J].哈尔滨工业大学学报,2014,46(2):1FAN Xueping, LDagang. Reliability prediction of bridge structures based on BDNM[J]. Journal of Harbin Institute of Technology,2014,46(2):1. DOI:10. 11918/j. issn. 0367-6234.2014.02.001
[19]吕大刚,宋鹏彦,王光远.考虑统计不确定性的结构可靠度分析方法[J].哈尔滨工业大学学报,2011,43(8):11.DOI:10.11918/j.issn.0367-6234.2011.08.003LDagang, SONG Pengyan,WANG Guangyuan. Reliability analysis methods of structures considering statistical uncertainty[J].Journal of Harbin Institute of Technology,2011,43(8):11.DOI:10.11918/j.issn.0367-6234.2011.08.003
[20]陈以一,赵宪忠.高冗余度钢结构倒塌设计控制设计指南[M].上海:同济大学出版社,2007:77
[21]STRBEL D. Die anwendung der ausgleichungsrechnung auf elastomechanische systeme[D]. Munchen:Universitt Stuttgart,1995
[22]朱红飞.索杆体系的冗余度及其特性分析[D].上海:上海交通大学,2012
[23]ZHOU Jinyu, CHEN Wujun, ZHAO Bin, et al. Distributed indeterminacy evaluation of cable-strut structures:formulations and applications[J].Journal of Zhejiang University,2015,16(9):737.DOI:10.1631/jzus.A1500081
[24]袁行飞,蒋淑慧,丁锐.梁系结构冗余度及其特性分析[J].建筑结构学报,2016,37(11):167
[25]史荣昌,魏丰.矩阵分析[M].北京:北京理工大学出版社,1996:16
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