Page 96 - 《振动工程学报》2026年第2期
P. 96
412 振 动 工 程 学 报 第 39 卷
两个基本随机变量即可精细表达地震动过程的小波 quake engineering[J]. Engineering Mechanics, 2002,
系 数, 进 而 通 过 小 波 系 数 和 小 波 基 模 拟 地 震 动 过 19(4):141-148.
[15] 全伟,李宏男. 基于小波变换的拟合规范反应谱多维地震
程。本文方法结合了小波分析方法的时频优势,能 动模拟 [J]. 地震工程与工程振动,2007,27(4):103-108.
够更加精细地刻画地震动的时-频非平稳特性,且仅 QUAN Wei, LI Hongnan. Generation of spectrum-compati-
ble multi-dimensional artificial ground motions via wavelet
需几百条代表性样本即可反映地震动过程的全概率
transform[J]. Journal of Earthquake Engineering and Engineer-
信息,为结合概率密度演化理论进行复杂工程结构 ing Vibration,2007,27(4):103-108.
的精细化分析提供了重要基础。 [16] 白泉,朱浮声,边晶梅. 基于平稳离散小波变换的地震动
时程模拟 [J]. 世界地震工程,2009,25(3):124-129.
(4) 关于小波基自身特性对模拟结果存在的影
BAI Quan, ZHU Fusheng, BIAN Jingmei. Simulation of
响,以及如何采用时域分析方法表达小波系数,仍需 earthquake ground motion based on discrete stationary wavelet
进一步研究。 transform[J]. World Earthquake Engineering, 2009,
25(3):124-129.
[17] 赵凤新,张郁山. 人造地震动反应谱拟合的窄带时程叠加
参考文献: 法 [J]. 工程力学,2007,24(4):87-91.
ZHAO Fengxin,ZHANG Yushan. Narrowband-time-history’s
[1] 李英民,刘立平. 工程结构的设计地震动 [M]. 北京:科学 superimposing method of generating response-spectrum-
compatible accelerogram[J]. Engineering Mechanics, 2007,
出版社,2011.
[2] YEH C H, WEN Y K. Modeling of nonstationary ground 24(4):87-91.
[18] LIU Z J, LIU W, PENG Y B. Random function based spectral
motion and analysis of inelastic structural response [J]. Struc-
representation of stationary and non-stationary stochastic
tural Safety,1990,8(1-4):281-298.
[3] CAO H,FRISWELL M I. The effect of energy concentration processes[J]. Probabilistic Engineering Mechanics, 2016,
45:115-126.
of earthquake ground motions on the nonlinear response of RC
structures[J]. Soil Dynamics and Earthquake Engineering, [19] PRIESTLEY M B. Evolutionary spectra and non-stationary
processes[J]. Journal of the Royal Statistical Society:Series
2009,29(2):292-299.
B(Methodological),1965,27(2):204-229.
[4] JURKEVICS A,ULRYCH T J. Representing and simulating
[20] PRIESTLEY M B. Power spectral analysis of non-stationary
strong ground motion[J]. Bulletin of the Seismological Soci-
random processes[J]. Journal of Sound and Vibration,1967,
ety of America,1978,68(3):781-801.
[5] DEODATIS G,SHINOZUKA M. Auto-regressive model for 6(1):86-97.
[21] 刘章军,陈建兵,彭勇波. 结构动力学 [M]. 北京:中国建
nonstationary stochastic processes[J]. Journal of Engineering
筑工业出版社,2022.
Mechanics,1988,114(11):1995-2012.
[6] BASU B,GUPTA V K. Non-stationary seismic response of [22] LI J, CHEN J B. The number theoretical method in response
analysis of nonlinear stochastic structures[J]. Computational
MDOF systems by wavelet transform[J]. Earthquake Engineer-
Mechanics,2007,39(6):693-708.
ing & Structural Dynamics,1997,26(12):1243-1258.
[23] 刘章军,刘增辉,刘威. 全非平稳地震动过程的概率模型
[7] IYAMA J, KUWAMURA H. Application of wavelets to
及反应谱拟合 [J]. 振动与冲击,2017,36(2):32-38.
analysis and simulation of earthquake motions[J]. Earthquake
LIU Zhangjun,LIU Zenghui,LIU Wei. Probability model of
Engineering & Structural Dynamics, 1999, 28( 3) : 255-
fully non-stationary ground motion with the target response
272.
[8] GURLEY K, KAREEM A. Applications of wavelet trans- spectrum compatible[J]. Journal of Vibration and Shock,
2017,36(2):32-38.
forms in earthquake, wind and ocean engineering[J]. Engi-
[24] DEODATIS G. Non-stationary stochastic vector processes:
neering Structures,1999,21:149-167.
[9] SPANOS P D,FAILLA G. Evolutionary spectra estimation seismic ground motion applications[J]. Probabilistic Engineer-
using wavelets[J]. Journal of Engineering Mechanics,2004, ing Mechanics,1996,11(3):149-167.
[25] 刘章军,姜云木,刘子心,等. 基于强震记录的多维地震
130(8):952-960.
[10] 曹晖,赖明,白绍良. 基于小波变换的地震地面运动仿真 动降维建模 [J]. 振动与冲击,2022,41(18):244-251.
研究 [J]. 土木工程学报,2002,35(4):40-46. LIU Zhangjun,JIANG Yunmu,LIU Zixin,et al. Dimen-
sion-reduction simulation of multi-dimensional ground
CAO Hui,LAI Ming,BAI Shaoliang. Study on the simula-
motions based on strong motion records[J]. Journal of Vibra-
tion of earthquake ground motions based on wavelet trans-
tion and Shock,2022,41(18):244-251.
form[J]. China Civil Engineering Journal,2002,35(4):40-
[26] 国家市场监督管理总局,中国国家标准化管理委员会. 中
46.
国地震动参数区划图:GB 18306—2015[S]. 北京:中国标
[11] 彭玉华. 小波变换与工程应用 [M]. 北京:科学出版社,
准出版社,2016.
1999.
[12] MUKHERJEE S,GUPTA V K. Wavelet-based characteriza- State Administration for Market Regulation,Standardization
Administration of the People’s Republic of China. Seismic
tion of design ground motions[J]. Earthquake Engineering &
ground motion parameters zonation map of China: GB
Structural Dynamics,2002,31(5):1173-1190.
[13] SUÁREZ L E,MONTEJO L A. Generation of artificial earth- 18306—2015[S]. Beijing:Standards Press of China,2016.
quakes via the wavelet transform[J]. International Journal of
Solids and Structures,2005,42(21-22):5905-5919. 第一作者:刘章军(1973—),男,博士,教授。
[14] 曹晖,赖明,白绍良. 适合于地震工程信号分析的快速小
E-mail:liuzhangjun73@aliyun.com
波变换法研究 [J]. 工程力学,2002,19(4):141-148.
通信作者:刘子心(1988—),女,博士,副教授。
CAO Hui, LAI Ming, BAI Shaoliang. Fast algorithm for
wavelet transform adaptive to the analysis of signals in earth- E-mail:liuzixin@cidp.edu.cn

