Earthquake Responses for Non-Proportion Damping System Based on Clough-Penzien Three-Step Non-Stationary Seismic Random Model

Abstract:

The solution method for earthquake responses of non-proportion damping system based on Clough-Penzien three-step non-stationary seismic random model is investigated in this paper. Firstly, the unified motion equation of non-proportion damping system is set up and then decoupled by complex mode method. Secondly, the earthquake responses in time-frequency domain are calculated by taking Clough-Penzien three-step non-stationary seismic random model as excitation, which ground motion parameters consistent with that of design response spectrum in china seismic code, and then the non-stationary time-varying variance of earthquake responses can be obtained, subsequently, the variances of equivalent stationary responses are integraled in ground motion duration. At last, an example of base seismic-isolation system is given to show the application of the proposed method.

• Periodical: Advanced Materials Research (Volumes 243-249)
• Pages: 3927-3933
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.243-249.3927
• Online since: May 2011
• Authors: Dong Mei Huang
• Keywords: Complex Model Method, Earthquake Responses, Ground Motion Parameters, Non-Proportion Damping System, Non-Stationary Seismic Random Model

References

[1] Zhou X Y, Yu R F and Dong L. (2004). The Complex-Complete-Qua-drafic-Combination (CCQC) Method for Seismic Responses of Non-Classically damped linear MDOF System．13WCEE[C]．No．848，Vancouver，Canada，Aug．1-6

DOI: 10.1080/13632460409350503

[2] Housner G W. Properties of strong motion earthquake . BSSA ,1995 ,45 ( 3) : 197～218

[3] Bycrof t G N . White noise representation of earthquakes. Journal of Engineering Mechanics Division. ASCE ,1960 , 86 ( 2) : 1～16

[4] Kanai K. An empirical formula for the spectrum of strong earthquake motions [J]. Bull. Earthquake Res.Inst, Univ.Tokyo, 1961,39,85~95

[5] Clough R W, Penzien J. Dynamics of Structures[M].2nd edition. New York McGraw-Hill.Inc.(1993)

[6] Iyengar R N, Iyengar KT. A nonstationary random process model for earthquake accelerations [C]. BSSA, 1969(59): 1163-1188

[7] Priestly M B. Evolutionary and Non-stationary processes [J]. Journal of the Royal Statistical Society, 1965, 27?: 204-237

[8] Shinozuka M. Sato Y. Simulation of nonstationary random process [J]. Journal of Engineering Mechanics Division, ASCE, 1967, 93(1): 11-40

DOI: 10.1061/jmcea3.0000822

[9] Levy R, Kozin F, Moorman R B. A Random processes for earthquake simulation [J]. Journal of Engineering Mechanics Division, ASCE, 1971, 97(2): 495-517.

DOI: 10.1061/jmcea3.0001377

[10] Saragoni G R, Hart G C. Simulation of artificial earthquakes [J]. Earthquake Engineering and Structural Dynamics, 1974, 2(3): 249-267

[11] Amin M, Ang A H – S. Nonstation stochastic model of earth quake motion [ J] . J. EM. ASCE, 1968, 94( 2) : 559-583.

[12] Ou Jinping, Niu Ditao, Du Xiuli. Model and parameters of random ground motion to design [J]. Journal of Earthquake Engineering and Engineering Vibration, 1991, 11(3): 45-54. (in Chinese)

[13] Hong Feng, Jiang Jinren, Li Yuting. Power spectral models of earthquake ground motions and evaluation of its parameters [J]. Journal of Earthquake Engineering and Engineering Vibration, 1994, 14(2): 46-52. (in Chinese)

[14] Du Xiuli, Chen Houqun. Random simulation and its parameter determination method of earthquake ground motion [J]. Earthquake Engineering and Engineering Vibration, 1994, 14(4): 1-5. (in Chinese)

[15] Xue Suduo, Wang Xueheng, Cao Zi. Parameters study on seismic random model based on the new seismic code [J]. 2003，36(5)：5-10. (in Chinese)

[16] Code for seismic design of buildings GB5001-2001[S], Beijing: China Building Industry Press, 2001.

[17] Fawzy. I , Bishop R.E.D. On the dynamics of linear no conservative systems [J], Proc.Roy.Soc, London, Ser.A,1976.25:352.