Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Earthquake Engineering and Engineering Vibration》 2003-01
Add to Favorite Get Latest Update

Comparison of four numerical methods for calculating seismic response of SDOF system

JIN Xing, MA Qiang, LI Shanyou(Institute of Engineering Mechanics, China Seismological Bureau, Harbin 150080, China)  
The main characteristics of numerical methods for calculating dynamic response of singledegree offreedom (SDOF) system in frequencydomain and timedomain are briefly reviewed in this paper. Based on the uniform recursive formula, four methods (central difference method, Newmark′s method, Z-transform method and Duhamel′s step integral method) are systematically studied. The advantages, disadvantages, relative precision and usage range of the four methods are pointed out through analyzing the invariance of recursive parameters b1 and b2 which are related to the poles of the transfer function of system, the constraint condition of the system transform function at low frequency and the phase properties of the digital filter in theory and numerical calculation have been presented. Based on the invariance of operators in dynamic equation common characteristics of the four methods and the interrelation among recursive equation of relative displacement, relative velocity and relative acceleration are also obtained. This means that if the recursive algorithm of relative displacement is known, the corresponding recursive algorithm of relative velocity or acceleration will be obtained easily. Finally, a set of new algorithms for calculating displacement, velocity and acceleration response of SDOF system to arbitrary ground motion are suggested.
【Fund】: 国家自然科学基金项目(59895410);; 中国地震局"十五"项目
【CateGory Index】: TU311.3
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
【References】
Chinese Journal Full-text Database 10 Hits
1 JIN Xing1,2,ZHANG Hong-cai1,2,WEI Yong-xiang2,LI Jun2(1.Institute of Engineering Mechanics,China Earthquake Administration,Heilongjiang Harbin 150080 2.Fujian Earthquake Administration,Fujian Fuzhou 350003);PRELIMINARY STUDY OF NEAR REAL-TIME INTERPOLATION CALCULATION OF SHAKEMAP BASED ON SEISMIC MONITORING NETWORK’S INFORMATION[J];Journal of Disaster Prevention and Reduction;2010-01
2 MA Qiang, JIN Xing, LI Shanyou(Institute of Engineering Mechanics, China Seismological Bureau,Harbin 150080,China);Real-time algorithm of seismic dynamic response for SDOF system[J];Earthquake Engineering and Engineering Vibration;2003-05
3 JIN Xing~(1,2), MA Qiang~(1), LI Shan-you~(1)(1.Institute of Engineering Mechanics, China Earthquake Administration, Harbin 150080, China;2. Earthquake Administration of Heilongjiang Province, Harbin 150090, China);Real-time simulation of ground velocity using digital accelerograph record[J];Earthquake Engineering and Engineering Vibration;2004-01
4 Jin Xing~(1,2,3),Ma Qiang~1,Li Shanyou~1,Yang Wendong~3(1.Institute of Engineering Mechanics, China Earthquake Administration, Harbin 150080, China; 2.Institute of Geotechnical Engineering,Nanjing University of Technology,Nanjing 210009,China; 3.Earthquake Administration of Heilongjiang Province, Harbin 150090, China);Comparison research on the records of wide band strong motion seismograph and seismometer at same station[J];Earthquake Engineering and Engineering Vibration;2004-05
5 Jin Xing~(1,2), Ma Qiang~1, Li Shanyou~1(1.Institute of Engineering Mechanics, China Earthquake Administration, Harbin 150080, China; 2.Institute ofGeotechnical Engineering,Nanjing University of Technology , Nanjing 210009, China);Real-time simulation of ground displacement and acceleration using digital velocity record[J];Earthquake Engineering and Engineering Vibration;2004-06
6 Zhang Xiaozhi~(1,2), Xie Lili~(2,3), Yu Haiying~2(1.Institute of Engineering Mechanics, China Earthquake Administration, Harbin 150080, China; 2.Harbin Fenghua-AerospaceHi-Tech Co.,Ltd., Harbin 150040, China; 3.School of Civil Engineering,Harbin Institute of Technology, Harbin 150001, China);Precision problems in calculating response spectra by using numerical method[J];Earthquake Engineering and Engineering Vibration;2004-06
7 ZHANG Xiaozhi,WANG Wei,YU Xiangtao,ZHANG Shilei(School of Architecture Engineering,Northeast Dianli University,Jilin 132012,China);A method for correction to instrument's response distortion based on an exact weight function with a calculated example[J];Journal of Earthquake Engineering and Engineering Vibration;2008-05
8 ZHANG Xiaozhi,ZHANG Shilei,WANG Wei,YU Xiangtao(School of Architecture Engineering,Northeast Dianli University,Jilin 132012,China);Transition model and method for calculation of long period portion of response spectrum[J];Journal of Earthquake Engineering and Engineering Vibration;2008-06
9 JIN Xing1,2,KANG Lanchi1,OU Yiping3(1.Fuzhou University,Fuzhou 350002,China;2.Earthquake Administration of Fujian Province,Fuzhou 350003,China;3.Fujian Architectural and Light Textile Design Institute,Fuzhou 350003,China);Acceleration spectrum attenuation relation for small and moderate earthquakes in Fujian region[J];Journal of Earthquake Engineering and Engineering Vibration;2009-05
10 Lin Jiansheng, Lin Zijian, Xie Wenjie, Chen Junfeng, He Xingyuan and Wang Jianxin (Engineering Seismic Research Center of Quanzhou, Earthquake Administration of Fujian Province, Quanzhou 362000, China);Using digital velocity records simulate acceleration time history and synthesize site design earthquake[J];Seismological and Geomagnetic Observation and Research;2006-06
【Citations】
Chinese Journal Full-text Database 1 Hits
1 Li Dahua (Institute of Engineering Mechanics, State Seismological Bureau);SUCCESSIVE COMPUTATION FORMULATION OF EARTHQUAKE RESPONSE SPECTRA[J];Earthquake Engineering and Engineering Vibration;1990-02
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 LOU Xiao-ming1,ZHENG Jun-jie1,MA Jian-jun2,CAI Lu-jun2(1.School of Civil Eng.& Mechanics,HUST,Wuhan 430074,China;2.Wuhan University of Science and Technology,Wuhan 430081,China);Study on Millisecond Blasting Vibration Velocity and Stress Field in Tunnel[J];Chinese Journal of Underground Space and Engineering;2008-02
2 Wang Litang;Zhao Jian;STUDY AND APPLICATION OF EARTHQUAKE MAGNITUDE SPECTRA[J];;1992-01
3 jiang Zhiheng and Liu Nailing;On the Calibration of the Small Periodic Terms for Gravimeter[J];;1991-03
4 Yang qian zhao GuominBai yun and Li zhisen(Liaoning Seismological Bureau, Shenyang, 110031);THE STUDY ON A/D CONVERSION METHOD AND ITS EFFECT OF DSS DATA IN HAICHENG SEISMIC REGION[J];Seismological Research of Northeast China;1993-04
5 Zhang Fengming Yi Fulan(The Seismological Bureau of Heilongjiang Province, Haerbin,150008);SOURCE PARAMETERS OF DEDU MODERATE EARTHQUAKE OF HEILONGJIANG PROVINCE IN 1986[J];SEISMOLOGICAL RESEARCH OF NORTHEAST CHINA;1995-04
6 MA Qiang, JIN Xing, LI Shanyou(Institute of Engineering Mechanics, China Seismological Bureau,Harbin 150080,China);Real-time algorithm of seismic dynamic response for SDOF system[J];Earthquake Engineering and Engineering Vibration;2003-05
7 JIN Xing~(1,2), MA Qiang~(1), LI Shan-you~(1)(1.Institute of Engineering Mechanics, China Earthquake Administration, Harbin 150080, China;2. Earthquake Administration of Heilongjiang Province, Harbin 150090, China);Real-time simulation of ground velocity using digital accelerograph record[J];Earthquake Engineering and Engineering Vibration;2004-01
8 Jin Xing~(1,2), Ma Qiang~1, Li Shanyou~1(1.Institute of Engineering Mechanics, China Earthquake Administration, Harbin 150080, China; 2.Institute ofGeotechnical Engineering,Nanjing University of Technology , Nanjing 210009, China);Real-time simulation of ground displacement and acceleration using digital velocity record[J];Earthquake Engineering and Engineering Vibration;2004-06
9 JIN Xing1-4,WEI Yongxiang2,CHEN Xueliang1,KANG Lanchi3(1.Institute of Engineering Mechanics,China Earthquake Administration,Harbin 150080,China;2.Earthquake Administration of Fujian Province,Fuzhou 350003,China;3.Fuzhou University,Fuzhou 350002,China;4.Institute of Geotechnical Engineering,Nanjing University of Technology,Nanjing 210009,China);Strong motion observation for a base-isolated building and its primary analysis[J];Journal of Earthquake Engineering and Engineering Vibration;2007-06
10 HU Jinjun,XIE Lili(Institute of Engineering Mechanics,China Earthquake Administration,Harbin 150080,China);Review of rupture directivity related concepts in seismology[J];Journal of Earthquake Engineering and Engineering Vibration;2011-04
China Proceedings of conference Full-text Database 1 Hits
1 LONG Yuan,YAN Jun-wei,XU Quan-jun,GAO Zhen-ru,LOU Jian-wu,ZHOU Chun-hua (Engineering Institute of Corps of Engineers,PLA Univ.of Sci.& Tech.of,Nanjing,210007,China);STUDY ON THE BLASTING VIBRATION SIGNAL BY THE WAVELET AND FRACTAL THEORY[A];[C];2007
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 HUANG Yu,YE Wei-min,TANG Yi-qun,CHEN Tian-ling(Department of Geotechnical Engineering,Tongji University,Shanghai 200092,P.R.China);Characteristic Analysis for Seismic Ground Response of Soft Soils in Shanghai[J];Chinese Journal of Underground Space and Engineering;2005-05
2 LI Xin-le, ZHU Xi (School of Civil Engineering and Architecture, Beijing Jiaotong University, Beijing 100044,China);Velocity Pulse for Near-Fault Ground Motions and Its Effect on Seismic Response of Pier[J];Journal of Northern Jiaotong University;2004-01
3 Liang Qinghuai(Department of Civil Engineering, Northern Jiaotong University, Beijing 100044));Summary and Review of the Numerical Methods for Analyzing SoilStructure Dynamic Interaction[J];JOURNAL OF NORTHERN JIAOTONG UNIVERSITY;1997-06
4 Zhai Wanming Research Institute of Rail Vehicles, Southwest Jiaotoag University, Chengdu;The Explicit Scheme of Newmark's integration Method for Large Structural Dynamic Analyses[J];Journal of Chongqing Jiaotong University;1991-02
5 LIAO Xu HUANG He (Seismological Bureau of Liaoning Province,Liaoning Shenyang 110031);ASSESSMENT OF SECONDARY FIRE DISASTER BY EARTHQUAKES OF THE OIL PLANT[J];Seismological Research of Northeast China;2001-01
6 ZHANG Guo-min,REN Jin-wei,MA Hong-sheng(Institute of Earthquake Prediction,CEA,Beijing 100036,China);PROSPECT ON THE DEVELOPMENT OFEARTHQUAKE PREDICTION RESEARCH[J];Seismological Research of Northeast China;2006-04
7 LI Yong-zhen,ZHAI Wen-jie,YU Shen-ping,JIN Zhen(Earthquake Administration of Liaoning Province,Liaoning Shenyang 110034,China);THE CONSTRUCTION AND RUNNING OF THE DIGITAL STRONG MOTION SEISMOGRAPH NETWORK OF LIAONING PROVINCE[J];Seismological Research of Northeast China;2009-03
8 YUAN Li-wen,ZHENG Si-hua,ZHOU Zheng-rong(Earthquake Administration of Fujian Province,Fujian Fuzhou 350003,China);RESEARCH ON SEISMICITY CHARACTERISTICS AND REGIONAL STRESS FIELD IN FUJIAN AREA[J];Seismological Research of Northeast China;2009-03
9 Wang Zhiliang, Hart Qingyu (General Research Institute of Building and Construction, Ministry of Metallurgical Industry);ANALYSIS OF WAVE PROPAGA TION FOR THE SITE SEISMIC RESPONSE, USING THE VISCOELASTOPLASTIC MODEL[J];Earthquake Engineering and Engineering Vibration;1981-01
10 Liu Zhenrong(Institute of Engineering Mechanics, Academia Sinica);COMPUTATIONAL INVESTIGATION ON FUZZY RELATION BETWEEN EARTHQUAKE INTENSITY AND PEAK ACCELERATION OF GROUND MOTION[J];Earthquake Engineering and Engineering Vibration;1982-03
【Secondary References】
Chinese Journal Full-text Database 10 Hits
1 ZHANG Shilei,ZHANG Xiaozhi(School of Architecture Engineering Northeast Dianli University,Jilin 132012,China);A precise algorithm for weighting functions integrating and differentiating of treatment of strong motion data[J];Sichuan Building Science;2010-02
2 XIONG Hui1,LI Zhengliang1,YAN Zhitao1,WANG Zhisong1,ZHANG Xiaomin2(1.College of Civil Engineering,Chongqing University,Chongqing 400045,China; 2.College of Resource and Engineering,Chongqing University,Chongqing 400045,China);The relation between the earthquake response spectrum,power spectrum and Fourier spectrum[J];Sichuan Building Science;2011-02
3 JIANG Hui,SHEN Dan,NI Yongjun,ZHU Xi,YANG Qingshan(School of Civil Engineering,Beijing Jiaotong University,Beijing 100044,China);Research on peak attenuation relationship of near-fault earthquake ground motion[J];Journal of Beijing Jiaotong University;2011-04
4 ZHAO Ming-sheng1,ZHANG Ya-wen2,XU Hai-bo3,LIANG Kai-shui1 (1.School of Resources and Environmental Engineering,Wuhan University of Technology, Wuhan 430070,China;2.Xi′an Engineering Company of CBMCC,Xi′an 710000,China; 3.Hubei Geology Mining Development Co Ltd,Wuhan 430022,China);Response Spectrum Analysis of Blasting Vibration Signal with Different Microsecond Delay Time[J];Blasting;2011-01
5 ZHANG Xiao-zhi,LIU Long-jiang,CAO Ling (Architecture Engineering College,Northeast Dianli University,Jilin Jilin 132012);An Other Explicit Integration Method Based on Double Basic Assumption[J];Journal of Northeast Dianli University;2011-Z1
6 LIAO Shi-rong1,JIN Xing1,2,CHEN Fei-wen1,MA Qiang2(1.Earthquake Administration of Fujian Province,Fujian Fuzhou 350003,China;2.Institute of Engineering mechanics,Earthquake Administration of China,Heilongjiang Harbin 150090,China;);ANALYSIS OF THE AUTOMATIC PROCESSING CAPACITY OF REAL-TIME EARTHQUAKE INFORMATION SYSTEM FOR EARTHQUAKES NEAR THE BOUNDARY OF SEISMIC NETWORK[J];Seismological Research of Northeast China;2009-02
7 JIN Xing1,2,ZHANG Hong-cai1,2,WEI Yong-xiang2,LI Jun2(1.Institute of Engineering Mechanics,China Earthquake Administration,Heilongjiang Harbin 150080 2.Fujian Earthquake Administration,Fujian Fuzhou 350003);PRELIMINARY STUDY OF NEAR REAL-TIME INTERPOLATION CALCULATION OF SHAKEMAP BASED ON SEISMIC MONITORING NETWORK’S INFORMATION[J];Journal of Disaster Prevention and Reduction;2010-01
8 YIN De-lu,SHAN De-hua,SUN Hong-yan,SUN Su-mei (Earthquake Administration of Liaoning Province,Liaoning Shenyang 110034,China);APPLICATION OF EARTHQUAKE QUICK REPORT AND PUBLISHING BY AUTOMATIC PROCESSING TECHNOLOGY[J];Journal of Disaster Prevention and Reduction;2012-02
9 JIN Xing~(1,2), MA Qiang~(1), LI Shan-you~(1)(1.Institute of Engineering Mechanics, China Earthquake Administration, Harbin 150080, China;2. Earthquake Administration of Heilongjiang Province, Harbin 150090, China);Real-time simulation of ground velocity using digital accelerograph record[J];Earthquake Engineering and Engineering Vibration;2004-01
10 Jin Xing~(1,2,3),Ding Haiping~(1,4),Li Shanyou~(1) ,Jing Liping~(1) ,Ma Shulin~(1) ,Gao Feng~(1) Fu Zhengxin~(1),Wang Xiaofeng~(3) ,Ma Qiang~(1) ,Yang Wendong~(3) (1.Institute of Engineering Mechanics, China Earthquake Administration,Harbin 150080, China; 2.Institute of Geotechnical Engineering, Nanjing University of Technology, Nanjing 210009 ,China; 3.Earhtquake Administration of Heilongjiang Province, Harbin 150090, China; 4.University of Science and Technology of Suzhou, Suzhou 215011,China);Seismic surveillance and partial field array observation for explosion in Suiling[J];Earthquake Engineering and Engineering Vibration;2004-04
China Proceedings of conference Full-text Database 2 Hits
1 LOU Meng-lin LI Qiang (State Key Laboratory for Disaster Reduction in Civil Engineering,Tongji University,Shanghai 200092,China);Discussion on seismic excitation of SDOF system[A];[C];2006
2 Kong Qingkai and Zhao Ming (Building Engineering Department,Tongji University,Shanghai 200092,China );Study on Algorithms in Earthquake Early Warning System[A];[C];2010
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved