考虑地震损伤的单层球面网壳结构静力稳定性
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摘要
为了研究地震损伤对单层网壳结构静力稳定性能的影响,基于考虑材料损伤累积效应的本构模型,对一K8型单层球面网壳结构,首先利用动态增量(incremental dynamic analysis,IDA)方法对单层网壳结构进行动力稳定分析,提出将B-R准则与塑性应变能曲线相结合作为结构动力失稳破坏的判断准则,得到结构动力失稳临界值;然后采用弧长法和Newton-Raphson法相结合的增量迭代法对损伤后的结构进行非线性屈曲分析,得到震后结构的静力稳定临界荷载.结果表明:考虑地震损伤累积效应的结构静力稳定性能显著降低,为该类结构抗震设计、性能评估和震后修复、加固提供参考.
To study the effect on the static performance of single-layer latticed shells under earthquake damage,based on the material constructive relationship considering damage cumulative effect, the dynamic stable analysis is first carried out for a K8 type and single-layer latticed shell through the incremental dynamic analysis( IDA) method,in which B-R kinetic criterion in combination with plastic strain energy density is put forward as the criterion for judging dynamic instability of single-layer latticed shells,from which the dynamic critical load value can be derived. Then,nonlinear buckling analysis by the arc-length method combined with Newton-Raphson method is done to the damaged structure due to earthquake,from which the static critical load value can be derived. Results show that the reduction to the structural static stable ability will be obvious after considering damage accumulation effect for singlelayer latticed shells,which can be a reference for the structural seismic design,performance assessment,and engineering repair or reinforcement after earthquake.
To study the effect on the static performance of single-layer latticed shells under earthquake damage,based on the material constructive relationship considering damage cumulative effect, the dynamic stable analysis is first carried out for a K8 type and single-layer latticed shell through the incremental dynamic analysis( IDA) method,in which B-R kinetic criterion in combination with plastic strain energy density is put forward as the criterion for judging dynamic instability of single-layer latticed shells,from which the dynamic critical load value can be derived. Then,nonlinear buckling analysis by the arc-length method combined with Newton-Raphson method is done to the damaged structure due to earthquake,from which the static critical load value can be derived. Results show that the reduction to the structural static stable ability will be obvious after considering damage accumulation effect for singlelayer latticed shells,which can be a reference for the structural seismic design,performance assessment,and engineering repair or reinforcement after earthquake.
引文
[1]中华人民共和国城乡建设部.JGJ7—2010空间结构技术规程[S].北京:中国建筑工业出版社,2010.
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[2]沈世钊,支旭东.网壳结构在强震下的失效机理[J].土木工程学报:工学版,2005,38(1):11-20.SHEN Shi-zhao,ZHI Xu-dong.Failure mechanism of reticulated shell in strong motion[J].China Civil Engineering Journal,2005,38(1):11-20.(in Chinese)
[3]杜文风,高博青.单层球面网壳结构动力强度破坏的双控准则[J].浙江大学学报,2007,41(11):1916-1926.DU Wen-feng.GAO Bo-qing.The double control guidelines of dynamic strength failure to reticulated shell[J].Journal of Zhejiang University:Engineering Science,2007,41(11):1916-1926.(in Chinese)
[4]杨大彬,张毅刚.K6型单层球面网壳弹塑性稳定极限承载力的杆件灵敏度分析[J].空间结构,2010,16(2):46-49.YANG Da-bin,ZHANG Yi-gang.Member sensitivity analysis of critical loads of elastic-plastic stability for K6single layer latticed domes[J].Spatial Structures,2010,16(2):46-49.(in Chinese)
[5]严佳川,范峰,曹正罡.杆件初弯曲对网壳结构弹塑性稳定性能影响研究[J].建筑结构学报,2012,33(12):63-70.YAN Jia-chuan,FAN Feng,CAO Zheng-gang.Research on influence of initial curvature of members on elastoplastic stability of reticulated shells[J].Journal of Buliding Structures,2012,33(12):63-70.(in Chinese)
[6]江见鲸,陆新征.混凝土结构有限元分析[M].清华大学出版社,2005:226-228.
[7]SHEN Zu-yan,DONG Bao.An experiment-based cumulative damage mechanics model of steel under cyclic loading[J].Advances in Structural Engineering,1997,11(1):39-46.
[8]范峰,聂桂波,支旭东.三向荷载作用下圆钢管材料本构模型研究[J].建筑结构学报,2011,32(8):59-68.FAN Feng,NIE Gui-bo,ZHI Xu-dong.Constitutive model of circular steel tubes under complicated cyclic load[J].Journal of Building Structures,2011,32(8):59-68.(in Chinese)
[9]吴刚.基能量准则的疲劳损伤数值模拟研究[D].南宁:广西大学机械工程学院,2006.WU Gang.Numerical simulation research on fatigue damage based on energy criteria[D].Nanning:College of Medanical Engineering,Guangxi University,2006.(in Chinese)
[10]中华人民共和国住房和城乡建设部.GB50011—2010建筑抗震设计规范[S].北京:中国建筑工业出版社,2010.
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