空间网格结构抗震分析方法研究现状
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摘要
对空间网格结构抗震分析方法的研究现状和存在的关键问题进行了分析。总结空间结构的动力分析方法,指出了应用传统的反应谱法计算结构地震反应时振型截取的误差及概念上的误区,并提出了相应的解决方案;综合工程实践和当前的研究现状,对各种阻尼比的取法进行总结,并阐明了其中存在的问题;评述了结构分析中调整所输入地震波时应注意的要点及结构多维多点输入的研究现状;总结当前网格结构动力稳定问题的研究进展,指出网格结构和多高层结构性能化抗震设计研究内容的差异及研究现状。
Current research status and present issues of seismic analysis of spatial lattice structures are concluded in this paper.The dynamic analysis methods of spatial lattice structures are summarized firstly,the misunderstandings of mode truncation using in the mode superposition method are pointed out,and the corresponding solutions are put forward.Based on practical projects and current research results,several methods for determining the damp ratio are compared and concluded,and the underlying problems are revealed.The key points for adjusting earthquake waves for input and current research status about multi-dimension or multi-support input are investigated.Recent progresses in the research of structural dynamic stability of spatial lattice structures are summed up.The differences of the performance seismic design between the spatial grid structures and the multi-story structures are also concluded.
Current research status and present issues of seismic analysis of spatial lattice structures are concluded in this paper.The dynamic analysis methods of spatial lattice structures are summarized firstly,the misunderstandings of mode truncation using in the mode superposition method are pointed out,and the corresponding solutions are put forward.Based on practical projects and current research results,several methods for determining the damp ratio are compared and concluded,and the underlying problems are revealed.The key points for adjusting earthquake waves for input and current research status about multi-dimension or multi-support input are investigated.Recent progresses in the research of structural dynamic stability of spatial lattice structures are summed up.The differences of the performance seismic design between the spatial grid structures and the multi-story structures are also concluded.
引文
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[11]Wilson E L,Penzien J.Evaluation of orthogonaldamping matrix[J].Journal for Numerical Methods inEngineering1,972(4):5-10.
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[26]Kiureghian A D,Neuenhofer A.Response spectrummethod for multi-support seismic excitations[J].Earthquake Engineering and Structural Dynamics,1992,21:713-740.
[27]Heredia Zavoni E,Vanmarcke E H.Seismic random2vibrat ion analysis of multi-support structural system[J].Journal of Engineering Mechanics,A SCE,19941,20(5):1107-1128.
[28]Lin J H,Zhang Y H,Li Q S,et al.Seismic spatialeffects for long span bridges using the pseudoexcitation method[J].Engineering Structures,2004,26(9):1207-1216.
[29]Yamamura N,Tanaka H.Response analysis of flexibleMDF system s for multiple support seismic excitations[J].Earthquake Engineering and StructuralDynamics1,9901,9:345-357.
[30]Berrah M K,Kaussel E.A modal combination rule forspatially varying seismic motions[J].EarthquakeEngineering and Structural Dynamics,1993,22:791-800.
[31]李忠献,林伟,丁阳.行波效应对大跨度空间网格结构地震响应的影响[J].天津大学学报,2007,40(1):1-8.Li Z X,Lin W,DING Y.Influence of passage effecton seismic responses of long span spatial latticestructures[J].Journal of Tianjin University,2007,40(1):1-8.
[32]舒仲周.运动稳定性[M].成都:西南交通大学出版社,1984.Shu Z Z.Dynamic Stability[M].Chengdu:SouthwestJiaotong University Press,1984.(in Chinese)
[33]何艳丽.桅杆结构的动力稳定性分析[D].上海:同济大学,1999.He Y L.The dynamic stability analysis of guyed masts[D].Shanghai:Tongji University,1999.(in Chinese)
[34]曲乃泗,张斌.任意空间杆系结构的动力稳定性分析[J].工业建筑,1990,20(5):24-28.Qu N S,Zhang B.Arbitrary spatial truss structuraldynamic stability analysis[J].IndustrialConstruction,1990,20(5):24-28.(in Chinese)
[35]李忠学,沈祖炎,邓长根.杆系钢结构非线性动力稳定性识别与判定准则[J].同济大学学报,2000,28(1):148-151.Li Z X,Shen Z Y,Deng C G.Identification andjudgment criteria of nonlinear dynamic stability inlattice steel structures[J].Journal of TongjiUniversity,2000,28(1):148-151.(in Chinese)
[36]叶继红,沈祖炎.初始缺陷对网壳动力稳定性能的影响[J].土木工程学报,1997,31(1):37-42.Ye J H,Shen Z Y,The effect of inutal imperfection ondynamic stability of reticulatelated structures[J].China Civil Engineering Journal,1997,31(1):37-42.(in Chinese)
[37]叶继红,沈祖炎.在地震作用下初始缺陷对网壳结构动力稳定性能的影响[J].建筑结构,1997,27(1):23-27.Ye J H,Shen Z Y.The effect of initial imperfection onthe dynamic stability of latticed structures underearthauake excitation[J].Building Structure1,997,27(1):23-27.(in Chinese)
[38]曲淑英.考虑阻尼影响时大型空间结构的动力稳定性分析[J].烟台大学学报,1996,9(4):61-66.Qu S Y.Dynamic stability analysis of large spacestructure considering damping effect[J].Journal ofYantau Uniwersity,1996,9(4):61-66.(in Chinese)
[39]叶继红,沈祖炎.结构阻尼对网壳动力稳定性能的影响[J].工业建筑,1997,27(30):33-37.Ye J H,Shen Z Y.The Effect of Damping on Thedynamic stabiility of reticulated structures[J].Industrial Building,1997,27(30):33-37.(inChinese)
[40]王策,沈世钊.球面网壳阶跃荷载作用动力稳定性[J].建筑结构学报,2001,22(1):62-68.Wang C,Shen S Z.Dynamic stability of single layerreticulated dome under step load[J].Journal ofBuilding Structures,2001,22(1):62-68.(inChinese)
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[2]董石麟,罗尧治,赵阳.新型空间结构分析、设计与施工[M].北京:人民交通出版社,2006.Dong S L,Luo Y Z,Zhao Y.Analysis design andconstruction of new space structures[M].Beijing:China Communications Press,2006.(in Chinese)
[3]中国建筑科学研究院,浙江大学.JGJ 7—91网架结构设计与施工技术规程[S].北京:中国建筑工业出版社,1992.China Academy of Building Research,ZhejiangUniversity.JGJ 7—91 Technical specification of gridstructural design and construction[S].Beijing:ChinaArchitecture&Building Press1,992(in Chinese)
[4]中国建筑科学研究院.JGJ 61-2003网壳结构技术规程[S].北京:中国建筑工业出版社2,004.China Academy of Building Research.JGJ 61-2003Technical specification for latticed shells[S].BBeijing:China Architecture&Building Press,2004.(in Chinese)
[5]Edward L,Wilson.Three-Dimensional Static andDynamic Analysis of Structures A Physical ApproachWith Emphasis on Earthquake Engineering[M].Berkeley:Computers and Structures,2002.
[6]尹越,黄鑫.基于振型分解反应谱法的大跨空间结构抗震设计研究[J].沈阳理工大学学报,2007,26(3):87-90.Yin Y,Huang X.Study on anti-seismic design for longspan spatial structure based on mode superpositionresponse spectrum method[J].Journal of ShenyangInstitate of Technology,2007,26(3):87-90.(inChinese)
[7]Nakayama M,Sasaki Y,Masuda K,et al.An efficientmethod for selection of vibration modes contributory towind response on dome like roofs[J].Journal of WindEngineering and Industrial Aerodynamics,1998,73(1):31-43.
[8]TIAN Y J,YANG Q S.Dominant modes of fluctuatingwind induced response for large span roofs[J].Journal of Harb in Institute of Technology,2009,41(16):147-149.
[9]杨志勇,李桂青,翟伟廉.结构阻尼发展及其研究近况[J].武汉工业大学学报,2000,22(3):38-41.Yang Z Y,Li G Q,Zhai W L.Research progress andstatus of Structural damping[J].Journal of WuhanUniversity of Technology,2000,22(3):38-41.(inChinese)
[10]Canghey T K.Classical normal modes in dampedlinear dynamic system[J].Journal of AppliedMechanics1,9602,7:269-261.
[11]Wilson E L,Penzien J.Evaluation of orthogonaldamping matrix[J].Journal for Numerical Methods inEngineering1,972(4):5-10.
[12]曹资,张毅刚.单层球面网壳地震反应特征分析[J].建筑结构,1998,8:40-43.Cao Zi,Zhang Y G.Study on seismic characteristics ofsingle layer latticed domes[J].Building Structure,1998,8:40-43.(in Chinese)
[13]曹资,张超,张毅刚,等.网壳屋盖与下部支承结构动力相互作用研究[J].空间结构,2001,7(2):19-26.Cao Z,Zhang C,Zhang Y G,et al.A Study on thedynamic Iinteraction between lattice shells and thesupporting struuctures[J].Spatial Structures,2001,7(2):19-26.(in Chinese)
[14]龚炳年,郝锐坤,赵宁.钢-混凝土混合结构模型动力特性的试验研究[J].建筑结构学报,1995,16(3):37-43.Gong B N,Hao R K,Zhao N.Experimentalinvestigations of the dynamic characteristics of a 23-storey steel-RC mixed structure model[J].Journal ofBuiding Structures1,995:16(3):37-43.(in Chinese)
[15]关海涛,周建龙.钢屋盖-混凝土支承体系阻尼计算方法研究[J].建筑结构,2009;39(增刊):168-173.Guan H T,Zhou J L.Research on computationalmethod for the damping of steel roof on concretebearing structural system[J].Building Structures,2009,39(Supplement):168-173.(in Chinese)
[16]韩庆华,裴波,王成博,等.预应力组合网架结构的自振特性分析及现场测试[J].地震工程与工振动,2004,24(2):118-124.Han Q H,Pei B,Wang C B,et al.Analysis of naturalvibration characteristics and testing on constructionsite of pre-stressed composite space truss[J].Earthquake Engineering and Engineering Vibration,2004,24(2):118-124.(in Chinese)
[17]王亚勇,刘小弟,程民宪.建筑结构时程分析法输入地震波的研究[J].建筑结构学报,1991,12(4):51-60.Wang Y Y,Liu X D,Cheng M X.Study on the inputof earthquake ground motion for time history analysisof ctructures[J].Building Structures,1991,12(4):51-60.(in Chinese)
[18]曹资,薛素铎.空间结构抗震理论与设计[M].北京:科学出版社2,005.Cao Z,Xue S D,Seismic Theory and design of spatialstructures[M].Beijing:Science Press,2005.(inChinese)
[19]Wilson E L.A clarification of the orthogonal effects ina three-dimensional seismic analysis[J].EarthquakeSpectra1,995,11(4):659-666.
[20]Menun C,Kiureghian A D.A replacement for the30%,40%,and SRSS rules for multi-componentseismic analysis[J].Earthquake Spectra,1998,14(1):153-163.
[21]Smeby W,Kiureghian A D.Modal combination rulesfor multi-component earthquake excitation[J].Earthquake Engineering and Structural Dynamics,19851,3(1):1-2.
[22]李宏男.结构多维抗震理论与设计方法[M].北京:科学出版社1,998.Li H N.Structural Multidimensional seismic theoryand design method[M].Beijing,Science Press,1998.(in Chinese)
[23]陈国兴,孙士军.多维相关地震动作用结构地震反应的反应谱法[J].南京建筑工程学院学报,1999,4:15-23.Chen G X,Sun S J.A general response cpectrumanalytical method of structure for multi dimensioncoherence ground motion inputs[J].Journal ofNanjing Architectural and Civil Engineering Instutyte,1999,4:15-23.(in Chinese)
[24]林家浩,张亚辉.随机振动的虚拟激励法[M].北京:科学出版社2,004.Lin J H,Zhang Y H.Pseudo excitation method forrandom vibration[M].Beijing:Science Press,2004.(in Chinese)
[25]刘先明,叶继红,李爱群.多点输入反应谱法的理论研究[J].土木工程学报,2005,38(3):17-22.Liu X MJ,e J H,Li A Q.Research of multi-supportresponse spectrum method[J].China CivilEngineering Journal,2005,38(3):17-22.(inChinese)
[26]Kiureghian A D,Neuenhofer A.Response spectrummethod for multi-support seismic excitations[J].Earthquake Engineering and Structural Dynamics,1992,21:713-740.
[27]Heredia Zavoni E,Vanmarcke E H.Seismic random2vibrat ion analysis of multi-support structural system[J].Journal of Engineering Mechanics,A SCE,19941,20(5):1107-1128.
[28]Lin J H,Zhang Y H,Li Q S,et al.Seismic spatialeffects for long span bridges using the pseudoexcitation method[J].Engineering Structures,2004,26(9):1207-1216.
[29]Yamamura N,Tanaka H.Response analysis of flexibleMDF system s for multiple support seismic excitations[J].Earthquake Engineering and StructuralDynamics1,9901,9:345-357.
[30]Berrah M K,Kaussel E.A modal combination rule forspatially varying seismic motions[J].EarthquakeEngineering and Structural Dynamics,1993,22:791-800.
[31]李忠献,林伟,丁阳.行波效应对大跨度空间网格结构地震响应的影响[J].天津大学学报,2007,40(1):1-8.Li Z X,Lin W,DING Y.Influence of passage effecton seismic responses of long span spatial latticestructures[J].Journal of Tianjin University,2007,40(1):1-8.
[32]舒仲周.运动稳定性[M].成都:西南交通大学出版社,1984.Shu Z Z.Dynamic Stability[M].Chengdu:SouthwestJiaotong University Press,1984.(in Chinese)
[33]何艳丽.桅杆结构的动力稳定性分析[D].上海:同济大学,1999.He Y L.The dynamic stability analysis of guyed masts[D].Shanghai:Tongji University,1999.(in Chinese)
[34]曲乃泗,张斌.任意空间杆系结构的动力稳定性分析[J].工业建筑,1990,20(5):24-28.Qu N S,Zhang B.Arbitrary spatial truss structuraldynamic stability analysis[J].IndustrialConstruction,1990,20(5):24-28.(in Chinese)
[35]李忠学,沈祖炎,邓长根.杆系钢结构非线性动力稳定性识别与判定准则[J].同济大学学报,2000,28(1):148-151.Li Z X,Shen Z Y,Deng C G.Identification andjudgment criteria of nonlinear dynamic stability inlattice steel structures[J].Journal of TongjiUniversity,2000,28(1):148-151.(in Chinese)
[36]叶继红,沈祖炎.初始缺陷对网壳动力稳定性能的影响[J].土木工程学报,1997,31(1):37-42.Ye J H,Shen Z Y,The effect of inutal imperfection ondynamic stability of reticulatelated structures[J].China Civil Engineering Journal,1997,31(1):37-42.(in Chinese)
[37]叶继红,沈祖炎.在地震作用下初始缺陷对网壳结构动力稳定性能的影响[J].建筑结构,1997,27(1):23-27.Ye J H,Shen Z Y.The effect of initial imperfection onthe dynamic stability of latticed structures underearthauake excitation[J].Building Structure1,997,27(1):23-27.(in Chinese)
[38]曲淑英.考虑阻尼影响时大型空间结构的动力稳定性分析[J].烟台大学学报,1996,9(4):61-66.Qu S Y.Dynamic stability analysis of large spacestructure considering damping effect[J].Journal ofYantau Uniwersity,1996,9(4):61-66.(in Chinese)
[39]叶继红,沈祖炎.结构阻尼对网壳动力稳定性能的影响[J].工业建筑,1997,27(30):33-37.Ye J H,Shen Z Y.The Effect of Damping on Thedynamic stabiility of reticulated structures[J].Industrial Building,1997,27(30):33-37.(inChinese)
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