地震时程分析的时频联合缩减法
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摘要
为了减少动态时程法的计算开销,根据地震时程记录的能量在时间-频率域内主要集中在特定时间段和低频分量中的特点,用离散小波变换,变采样率重构时程记录,以达到在时程计算时减少积分步数,节约计算时间的目的。通过有限元数值实验,表明该法可有效缩短计算时间,同时计算误差不超过5%,在工程范围内可以接受。
Time-frequency joint method is used to analyze the energy distribution of seismic time history in time-frequency domain.Since the main part of the energy is located in low frequency component and specific time,the time history is reconstructed by low sampling rate in certain time,and the calculation burden is reduced.Numerical experiment results show that the approach is effective and the deviation caused by it is no more than 5 percent,which is acceptable to engineering application.
Time-frequency joint method is used to analyze the energy distribution of seismic time history in time-frequency domain.Since the main part of the energy is located in low frequency component and specific time,the time history is reconstructed by low sampling rate in certain time,and the calculation burden is reduced.Numerical experiment results show that the approach is effective and the deviation caused by it is no more than 5 percent,which is acceptable to engineering application.
引文
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[2]朱镜清.结构动力学问题中积分格式的稳定性[J].地震工程与工程振动,1983,3(3):1-10.ZHU Jingqing.Stability of the integral form in dynamics of structures[J].Journal of Earthquake Engineering and Engineering Vibrations,1983,3(3):1-10.(in Chinese)
[3]Eysa Salajegheh,Ali Heidari.Time history dynamic analysis of structures using filter banks and wavelet transforms[J].Computers and Structures,2005,83:53-68.
[4]Hlawatsch F,Kozek W.Time-frequency projection filters and time-frequency signal expansions[J].IEEE Trans,Signal Processing,1994,42(12):3321-3343.
[5]Janssen A J E M.Optimality property of the Gaussian window spectrogram[J].IEEE Trans,Signal Processing,1991,39(1):202-204.
[6]Morris J M,Wu D.On alias-free formulation of discrete-time Cohen’s class of distributions[J].IEEE Trans,Signal Processing,1996,44:1355-1364.
[7]Jeong J,Williams W.Kernel design for reduced interference distributions[J].IEEE Trans,Signal Processing,1992,40:402-412.
[8]Qian Shie.Introduction to Time-frequency and wavelet transforms[M].北京:机械工业出版社,2004.
[9]Qian S,Morris J M.Wigner distribution decomposition and cross-term deleted representation[J].Signal Processing,1992,25(2):125-144..
[10]Bianu M Isar A.The reduction of interference terms in the time-frequency plane[J].Signals,Circuits and Systems,2003,12:461-464.
[11]刘文彬,郭瑜,李之雄.基于Gabor展开的Wigner-Ville分布的交叉项消除[J].振动与冲击,2008,27(10):121-126.LIU Wenbin,GUO Yu,LI Zhixiong.Removal of crossing-items of WVD based on Gabor expansion[J].Journal of Vibration and Shock,2008,27(10):121-126.(in Chinese)
[12]Stéphane Mallat.A wavelet tour of signal processing[M].znd ed.Beijing:China Machine Press,2008.
[13]Adhemar Bultheel.Wavelets with applications in signal and image processing[M].BeiJing:China Machine Press,2003.
[14]樊剑,吕超,张辉,等.基于S变换的地震波时频分析及人工调整[J].振动工程学报,2008,21(4):381-386.FAN Jian,LU Chao,ZHANG Hui,et al.Time-frequency analysis and artificial simulation of earthquake ground motions via S-transform[J].Jour-nal of Vibration.2008,21(4):381-386.(in Chinese)
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