单自由度结构地震激励下瞬时均方根响应的小波变换估计
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摘要
该文应用小波变换方法对受到地震荷载作用的线性单自由度体系的瞬时均方根响应进行估计,应用小波方法分析地震激励的时频特性,在小波域内求解了地震激励下结构响应的瞬时功率谱密度函数,并且基于此估计了结构的瞬时均方根响应。该文对一单自由度结构进行数值模拟研究,结果表明:小波分析方法具有很好的精度。
This paper presents a wavelet-based approach for estimating the root-mean-square (RMS) response of a linear single-degree-of-freedom (SDOF) system under earthquake ground motions.The time-frequency characteristics of the ground motion are analyzed using the wavelet method.The instantaneous power spectral density function (PSDF) of the response has been derived and used to estimate the instantaneous RMS response of the system.Numerical study of a single-degree-of-freedom (SDOF) system is performed.The result shows that the wavelet method can estimate the structural instantaneous RMS responses accurately.
This paper presents a wavelet-based approach for estimating the root-mean-square (RMS) response of a linear single-degree-of-freedom (SDOF) system under earthquake ground motions.The time-frequency characteristics of the ground motion are analyzed using the wavelet method.The instantaneous power spectral density function (PSDF) of the response has been derived and used to estimate the instantaneous RMS response of the system.Numerical study of a single-degree-of-freedom (SDOF) system is performed.The result shows that the wavelet method can estimate the structural instantaneous RMS responses accurately.
引文
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[6]Daubechies I.小波十讲[M].北京:国防工业出版社,2004.Daubechies I.Ten lectures on wavelets[M].Beijing:National Defence Industry Press,2004.(in Chinese)
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[10]高成,董长虹,郭磊,李阳明.Matlab小波分析与应用[M].北京:国防工业出版社,2007.Gao Cheng,Dong Changhong,Guo Lei,Li Yangming.Matlab wavelet analysis and its application[M].Beijing:National Defence Industry Press,2007.(in Chinese)
[11]Biswajit Basu,Vinay K Gupta.Stochastic seismic response of single-degree-of-freedom systems through wavelets[J].Engineering Structures,2000,22:1714―1722.
[2]Lin C W,Loceff F A.A new approach to compute system response with multiple support response spectra input[J].Nuclear Engineering and Design,1980,60(3),347―352.
[3]Biswajit Basu,Vinay K Gupta.Non-stationary seismic response of MDOF systems by wavelet transform[J].Earthquake Engineering and Structural Dynamics,1997,26:1243―1258.
[4]Conte J P,Peng B-F.Fully nonstationary analytical earthquake ground motion mode1[J].Journal of Engineering Mechanics,ASCE,1997,123(1):15―24.
[5]Newland D E.Wavelet analysis of vibration,Part1:Theory[J].Journal of Vibration and Acoustics,ASME,1994,116(E):409―416.
[6]Daubechies I.小波十讲[M].北京:国防工业出版社,2004.Daubechies I.Ten lectures on wavelets[M].Beijing:National Defence Industry Press,2004.(in Chinese)
[7]Newland D E.An introduction to random vibrations,spectral and wavelet analysis[M].Longman Scientific&Tenchnical,Wiley,1993.
[8]Newland D E.Wavelet analysis of vibration,Part2:Wavelet maps[J].Journal of Vibration and Acoustics,ASME,1994,116(E):417―425.
[9]杨建国.小波分析及其工程应用[M].北京:机械工业出版社,2005.Yang Jianguo.Wavelet analysis and its project application[M].Beijing:China Machine Press,2005.(in Chinese)
[10]高成,董长虹,郭磊,李阳明.Matlab小波分析与应用[M].北京:国防工业出版社,2007.Gao Cheng,Dong Changhong,Guo Lei,Li Yangming.Matlab wavelet analysis and its application[M].Beijing:National Defence Industry Press,2007.(in Chinese)
[11]Biswajit Basu,Vinay K Gupta.Stochastic seismic response of single-degree-of-freedom systems through wavelets[J].Engineering Structures,2000,22:1714―1722.
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