Improved model of seismic power spectrum and its application in artificial ground motion synthesis

PDF(4559 KB)

Journal of Vibration and Shock ›› 2020, Vol. 39 ›› Issue (21) : 258-266.

DING Jiawei1, HE Haoxiang1, YAN Xiaoyu2

Author information +

History +

Abstract

Ground motions have significant time-frequency non-stationarity and randomness.The precision of the current intensity envelope function and power spectrum model to characterize ground motions’ time-frequency features should be verified with statistical analysis.Here, to overcome the limitation of the method for direct alignment of peak values of time-domain signals and other ones being not able to verify statistical characteristics of intensity envelope function, a method to establish statistical model of seismic intensity based on energy duration was proposed to verify the accuracy of traditional statistical model of intensity envelope under different site types.Statistical analysis
showed that the current power spectrum model based on random response with exceeding probability has insufficient precision in high frequency range.So,a high-frequency suppression term was proposed to be added to the original formula, and do modification.Results showed that the corrected formula can improve the precision obviously.Aiming at the traditional smooth power spectrum model being not able to fully characterize the non-stationarity of actual ground motions in frequency domain, a smooth-noise power spectrum model was proposed to realize fine description of ground motion power spectrum.Finally, an artificial ground motion synthesis method with time-frequency domain dual-control was proposed.It was shown that the proposed method can simultaneously meet the accuracy requirements of response spectrum and power spectrum, and realize higher accuracy ground motion generation.

Key words

intensity envelope function / energy duration / power spectrum / response spectrum / ground motion synthesis

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations

DING Jiawei1, HE Haoxiang1, YAN Xiaoyu2. Improved model of seismic power spectrum and its application in artificial ground motion synthesis[J]. Journal of Vibration and Shock, 2020, 39(21): 258-266

References

[1] LYENGAR R N, IYENGAR K T S R. A nonstationary random        process model for earthquake accelerograms [J]. Bulletin of the Seismological Society of America, 1969, 59(3):1163-1188.
[2] AMIN M, ANG H S A. Nonstationary stochastic model of design earthquake motions [J]. Journal of the Engineering Mechanics, 1968, 94(2): 651-662.
[3] KANAI K, Semi-empirical formula for the seismic characteristics of the ground motion [C] Bulletin of Earthquake Research Institute University of Tokyo. Japan: Earthquake Research Institute University of Tokyo, 1957, 35(2):309-325.
[4] VANMARCKE E H. Properties of spectral moment with applications to random vibration[J]. Journal of Engineering Mechanics Devision, 1972, 98(2):425-446.
[5] KAUL M K. Stochastic Characterization of earthquakes through their response spectrum[J]. Earthquake Engineering and Structural Dynamics, 1978, 6(5):497-509.
[6] 徐国栋, 史培俊, 周锡元. 基于目标反应谱和包线的地震动合成[J]. 地震工程与工程振动, 2010, 30(1):1-7.
XU Guodong, SHI Peijun, ZHOU Xiyuan. Ground motion synthesis based on target response spectrum and envelope [J]. Seismic Engineering and Engineering Vibration, 2010, 30(1):1-7.
[7] 霍俊荣, 胡聿贤, 冯启民. 地面运动时程强度包线函数的研究[J]. 地震工程与工程振动，1991,11(1):1-12.
HUO Junrong, HU Yixian, FENG Qimin. Study on the envelope function of time-history intensity of ground motion [J]. Seismic Engineering and Engineering Vibration, 1991, 11(1): 1-12.
[8] 李英民，刘立平. 工程结构的设计地震动[M]. 北京：科学出版社, 2011.
LI Yingmin, LIU Liping. Design Earthquake of Engineering Structures [M]. Beijing: Science Press, 2011.
[9] MATCHARASHVILI T, HATANO T, CHELIDZE T, et al. Simple statistics for complex earthquake time distributions[J]. Nonlinear Processes in Geophysics, 2018, 25(3):497-510.
[10] 袁峰, 邱卓, 钟菊芳. 能量持时阈值的选取分析[J]. 南昌航空大学学报, 2017, 31(2):7-11.
YUAN Feng, QIU Zhuo, ZHONG Jufang. Selection and analysis of energy holding threshold[J]. Journal of Nanchang Aviation University, 2017, 31 (2): 7-11.
[11] 赵凤新, 刘爱文. 地震动功率谱与反应谱的转换关系[J]. 地震工程与工程振动, 2001, 21(2):30-35.
ZHAO Fengxin, LIU Aiwen. Conversion relationship between seismic power spectrum and response spectrum [J]. Seismic Engineering and Engineering Vibration, 2001, 21 (2): 30-35.
[12] 邢海灵, 赵斌, 卢文胜, 蒋通. 核能设施地震动模拟中目标反应谱与功率谱转换方法探讨[J]. 核动力工程, 2014, 25(1): 71-77.
XING Hailing, ZHAO Bin, LU Wensheng, Jiang Tong. Discussion on the conversion method of target response spectrum and power spectrum in seismic simulation of nuclear power facilities [J]. Nuclear Power Engineering, 2014, 25 (1): 71-77.
[13] 任文杰, 赵利军, 穆蒙蒙. 现行抗震规范下地震动随机模型参数研究[J]. 世界地震工程, 2017, 33(2):33-38.
REN Wenjie, ZHAO Lijun, MU Mengmeng. Study on parameters of stochastic model of ground motion under current seismic codes [J]. World Seismic Engineering, 2017, 33 (2): 33-38.
[14] ZHOU J, JIANG Y, WANG L X. A long-period elastic response spectrum based on the site-classification of Chinese seismic code[J]. Soil Dynamics and Earthquake Engineering, 2018, 115(10):622-633.
[15] 何浩祥, 韩恩圳, 闫维明. 统一光滑反应谱及其在人工地震动合成中的应用[J]. 哈尔滨工业大学学报, 2016, 48(6):177-184.
HE Haoxiang, HAN Enzhen, YAN Weiming. Unified smooth response spectrum and its application in artificial ground motion synthesis [J]. Journal of Harbin University of Technology, 2016, 48(6):177-184.
[16] LIU Z J, Li J. The orthogonal expansion of stochastic processes for earthquake ground motion based on the Clough-Penzien power spectrum[J]. Advances in Structural Engineering, 2006, 1(2): 2158-2164.
[17] 彭凌云, 周锡元, 李小军. 对已有强震地面运动功率谱模   型的改进[J]. 北京工业大学学报, 2011,37(3):388-394.
PENG Lingyun, ZHOU Xiyuan, LI Xiaojun. Improvement of the existing power spectrum model for ground motion of strong earthquakes [J]. Journal of Beijing University of Technology, 2011, 37 (3): 388-394.
[18] 王海涛, 何树延. 同时满足反应谱匹配和功率谱密度包络               要求的人工时程生成算法[J], 核动力工程, 2009, 30(1):112-115.
WANG Haitao, HE Shuyan. Artificial time history generation   algorithm which satisfies the requirements of response spectrum matching and power spectral density envelope [J], Nuclear Power Engineering, 2009, 30 (1): 112-115.
[19] 杨庆山, 田玉基. 地震地面运动及其人工合成[M]. 北京：科学出版社, 2014.
YANG Qingshan, TIAN Yuji. Earthquake ground motion and its artificial synthesis [M]. Beijing: Science Press, 2014.