近断层脉冲型激励下单自由度体系地震响应的量纲分析
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- 英文论文题名：Dimensional Response Analysis of Single-Degree-of-Freedom Systems under Near-Fault Pulse-Type Excitations
- 论文作者：郭贵强 ; 杨迪雄
- 英文论文作者：Guo Guiqiang ; Yang Dixiong ; Department of Engineering Mechanics ; State Key Laboratory for Structural Analysis of Industrial Equipment ; Dalian University of Technology
- 年：2016
- 作者机构：大连理工大学工程力学系工业装备结构分析国家重点实验室;
- 论文关键词：近断层地震动 ; 脉冲型激励 ; 弹塑性单自由度体系 ; 量纲分析 ; 自相似性
- 英文论文关键词：near-fault ground motions ; pulse-type excitations ; elastic-plastic SDOF system ; dimensional analysis ; self-similarity
- 会议召开时间：2016-10-27
- 会议录名称：第九届全国防震减灾工程学术研讨会论文集
- 语种：中文
- 分类号：TU311.3
- 学会代码：OGTY
- 会议名称：第九届全国防震减灾工程学术研讨会
- 会议地点：中国安徽合肥
- 主办单位：中国土木工程学会、中国工程院土木、水利与建筑工程学部、中国土木工程学会防震减灾工程技术推广委员会、合肥工业大学、安徽省住房和城乡建设厅
- 学会名称：中国土木工程学会
- 页数：9
- 文件大小：424k
- 原文格式：O
- 会议级别：全国
摘要
本文引入量纲分析方法探讨近断层脉冲型激励下单自由度体系地震响应的自相似律和工程抗震启示。分析了矩形和三角函数脉冲激励下非弹性单自由度体系的无量纲响应,结果表明弹塑性体系向刚塑性体系退化时无量纲响应逼近刚塑性解析解,与理论推导一致。对弹塑性体系输入近断层地震动和相应三角函数脉冲,发现对于给定的无量纲屈服位移,无量纲响应曲线对脉冲幅值表现出自相似性,遵循唯一主曲线。此外,无量纲响应随无量纲屈服位移增大而增大,随脉冲周期增大而减小。相比传统的延性系数谱,无量纲自相似响应揭示了更合理的物理意义,表明呈现地震响应时真正重要的是无量纲的屈服位移,这对工程抗震具有重要意义。
In this paper,the seismic responses of single—degree — of — freedom(SDOF) systems subjected to near—fault pulse—type excitations are examined by using dimensional analysis,in order to investigate the similarity law of responses and to offer some insights on seismic engineering.The dimensionless response of inelastic SDOF systems subjected to rectangular and trigonometric pulses is analyzed,and it is shown that the dimensionless solutions approach to the analytical solutions when elastic-plastic systems gradually reduce to rigid-plastic systems,which is in agreement with theoretical derivation.Taking near-fault ground motions and pertinent trigonometric pulses as the seismic input of elastic-plastic systems,it is found that for given dimensionless yielding displacement the dimensionless response curves become self-similar and follow a single master curve.In addition,the dimensionless response amplifies with the increasing dimensionless yielding displacement,while it decreases with the increasing pulse period.Compared with traditional ductility ratio spectra,the dimensionless self-similar curve reveals more reasonable physical significance.It is indicated that when representing seismic response what really matters is the normalized yielding displacement,which is of significance to earthquake resistant engineering.
In this paper,the seismic responses of single—degree — of — freedom(SDOF) systems subjected to near—fault pulse—type excitations are examined by using dimensional analysis,in order to investigate the similarity law of responses and to offer some insights on seismic engineering.The dimensionless response of inelastic SDOF systems subjected to rectangular and trigonometric pulses is analyzed,and it is shown that the dimensionless solutions approach to the analytical solutions when elastic-plastic systems gradually reduce to rigid-plastic systems,which is in agreement with theoretical derivation.Taking near-fault ground motions and pertinent trigonometric pulses as the seismic input of elastic-plastic systems,it is found that for given dimensionless yielding displacement the dimensionless response curves become self-similar and follow a single master curve.In addition,the dimensionless response amplifies with the increasing dimensionless yielding displacement,while it decreases with the increasing pulse period.Compared with traditional ductility ratio spectra,the dimensionless self-similar curve reveals more reasonable physical significance.It is indicated that when representing seismic response what really matters is the normalized yielding displacement,which is of significance to earthquake resistant engineering.
引文
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[2]谢礼立,徐龙军.双规准反应谱与统一设计谱理论[J].天津大学学报(自然科学与工程技术版),2013,46(12):1045-1053(Xie Lili,Xu Longjun.Ground motion bi-normalized response spectrum and uniform design spectral theory[J].Journal of Tianjin University(Science and Technology Edition),2013,46(12):1045-1053(in Chinese)).
[3]Makris N,Black CJ.Dimensional analysis of bilinear oscillators under pulse-type excitations[J].Journal of Engineering Mechanics,2004,130(9):1019-1031.
[4]Makris N,Black CJ.Dimensional analysis of rigid plastic and elastoplastic structures under pulsetype excitations[J].Journal of Engineering Mechanics,2004,130(9):1006-1018.
[5]Karavasilis TL,Makris N,Bazeos N,et al.Dimensional response analysis of multistory regular steel MRF subjected to pulselike earthquake ground motions[J].Journal of Structural Engineering,2010,136(8):921-932.
[6]YangDX,Zhang CG.Fractal characterization and frequency properties of near-fault ground motions[J].Earthquake Engineering and Engineering Vibration,2013,12(4):503-518.
[7]YangDX,Zhang CG,Liu YH.Multifractal characteristic analysis of near-fault earthquake ground motions[J].Soil Dynamics and Earthquake Engineering,2015,72:12-23.
[8]Yang DX,Zhou JL.A stochastic model and synthesis for near-fault impulsive ground motions[J].Earthquake Engineering and Structural Dynamics,2015,44(2):243-264.
[9]Newmark NM.Effects of earthquakes on dams and embankments[J].Geotechnique,1965,15(2):139-160.
[10]BarenblattGI.Scaling,Self-similarity,and Intermediate Asymptotics[M].北京:世界图书出版公司,2000.