A Symplectic Precise Integration Method for Seismic Responses of Tall Buildings

HOU Pinglan; DENG Zichen

doi:10.21656/1000-0887.380123

Volume 39 Issue 4

Turn off MathJax

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2018 > 39(4): 442-451

HOU Pinglan, DENG Zichen. A Symplectic Precise Integration Method for Seismic Responses of Tall Buildings[J]. Applied Mathematics and Mechanics, 2018, 39(4): 442-451. doi: 10.21656/1000-0887.380123

Citation:

HOU Pinglan, DENG Zichen. A Symplectic Precise Integration Method for Seismic Responses of Tall Buildings[J]. Applied Mathematics and Mechanics, 2018, 39(4): 442-451. doi: 10.21656/1000-0887.380123

Citation:

HOU Pinglan, DENG Zichen. A Symplectic Precise Integration Method for Seismic Responses of Tall Buildings[J]. Applied Mathematics and Mechanics, 2018, 39(4): 442-451. doi: 10.21656/1000-0887.380123

PDF( 1529 KB)

A Symplectic Precise Integration Method for Seismic Responses of Tall Buildings

doi: 10.21656/1000-0887.380123

HOU Pinglan¹,
DENG Zichen²

¹Architecture Zabor University of Shaanxi Province,Xi’an 710068, P.R. China;²School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi’an 710072, P.R.China

Funds: The National Natural Science Foundation of China（11432010）

Received Date: 2017-05-05
Rev Recd Date: 2017-11-20
Publish Date: 2018-04-15

Abstract

Abstract

The response analysis of tall buildings under earthquake action is a difficult task in civil engineering design. With the symplectic precise integration method, which has advantages of high precision of the precise integration method and excellent long-time numerical stability of the symplectic method, the seismic response analysis of a tall building was performed and the elastic/elasto-plastic time-history results of the structure were obtained. Comparison of the numerical results between the symplectic precise integration method and the EPDA software shows the feasibility and the effectiveness of the symplectic precise integration method for seismic response analysis of tall buildings.
- symplectic precise integration method,
- seismic response,
- tall building,
- time history

FullText(HTML)

References(14)

References

[1]	FENG Kang. On difference schemes and symplectic geometry[C]// Proceedings of the 1984 Beijing Symposium on Differential Geometry and Differential Equations . Beijing: Science Press, 1984: 42-58.
[2]	冯康, 秦孟兆. Hamilton动力学体系的Hamilton 算法[J]. 自然科学进展: 国家重点实验室通讯, 1990,2: 102-112.(FENG Kang, QIN Mengzhao. Hamilton algorithm for Hamilton mechanics systems[J]. Progress in Natural Science: State Key Laboratory of Communications,1990,2: 102-112.(in Chinese))
[3]	冯康, 秦孟兆. 哈密尔顿系统的辛几何算法[M]. 杭州: 浙江科学技术出版社, 2002.(FENG Kang, QIN Mengzhao. Symplectic Geometry Algorithm for Hamilton Systems [M]. Hangzhou: Zhejiang Science and Technology Press, 2002.(in Chinese))
[4]	MARSDEN J E, RATIU T S. Introduction to Mechanics and Symmetry[M]. New York: Springer-Verlag, 1994.
[5]	钟万勰, 高强, 彭海军. 经典力学辛讲[M]. 大连: 大连理工大学出版社, 2013.(ZHONG Wanxie, GAO Qiang, PENG Haijun. Classical Mechanics: Its Symplectic Description [M]. Dalian: Dalian University of Technology Press, 2013.(in Chinese))
[6]	ZHONG Wanxie. On precise integration method[J]. Journal of Computational and Applied Mathematics,2004,163(1): 59-78.
[7]	ZHONG Wanxie, LIN Jiahao, GAO Qiang. The precise computation for wave propagation in stratified materials[J]. International Journal for Numerical Methods in Engineering,2004,60(1): 11-25.
[8]	GAO Q, LIN J H, ZHONG W X, et al. A precise numerical method for Rayleigh waves in a stratified half space[J]. International Journal for Numerical Methods in Engineering,2006,67(6): 771-786.
[9]	HUANG Yong’an, DENG Zichen, YAO Linxiao. An improved symplectic precise integration method for analysis of the rotating rigid-flexible coupled system[J]. Journal of Sound and Vibration,2007,299(1/2): 229-246.
[10]	钟万勰. 应用力学的辛数学方法[M]. 北京: 高等教育出版社, 2006.(ZHONG Wanxie. Symplectic Solution Methodology in Applied Mechanics [M]. Beijing: Higher Education Press, 2006.(in Chinese))
[11]	LIU Tielin, JIANG Yingchun, LUAN Yu. A method for earthquake response analysis of tall flexible structure[J]. Earthquakes and Structures,2013,4(2): 133-155.
[12]	GUEGUEN P, COLOMBI A. Experimental and numerical evidence of the clustering effect of structures on their response during an earthquake: a case study of three identical towers in the city of Grenoble, France[J]. Bulletin of the Seismological Society of America,2016,106(6): 2855-2864.
[13]	TAKEWAKI I, MURAKAMI S, FUJITA K, et al. The 2011 off the Pacific coast of Tohoku earthquake and response of high-rise buildings under long-period ground motions[J]. Soil Dynamics and Earthquake Engineering,2011,31(11): 1511-1528.
[14]	PAN T C, MEGAWATI K, GOH K S. Response of high-rise buildings in Singapore due to a potential giant earthquake in the Sumatran Megathrust[J]. Journal of Earthquake Engineering,2011,15: 90-106.