地震动时频分析在隧道动力响应分析中的应用
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摘要
为了了解影响隧道动态内力峰值出现位置的相关因素.利用希尔伯特—黄变换,对E1 Centro等4条天然地震波和某隧道人工波(简称LBG地震波)进行了时频分析,结果表明:1)地震波各频段内所含能量的大小是影响隧道动态响应的主要因素;2)地震波中所包含的瞬时能量和总能量在时域上的分布决定了隧道内力及塑性应变最大峰值的出现时间;3)隧道内力峰值及最大塑性应变出现的位置与隧道断面形状及周围介质对衬砌的约束状态有关,与地震波的类型无关.
In order to intensivly understand the relationship between seismic wave and dynamic response of tunnel liner and search the influencing factors that affect the appearance place of peak-value of internal-force in tunnel liner,the time-frequency analysis about four inartificial earthquake waves included E1 Centro and one artificial earthquake wave(abbreviation LBG) have been carried out by the Hilbert-Huang transform.By this method,the distribution of earthquake wave energy in the time-field and the frequency-field have been provided.The results show that: 1) the energy magnitude of earthquake wave in the every frequency channel is the governing factor on dynamic response of tunnel;2) the time when peak value of internal force and the plastic strain of tunnel comes,has been determined by the distribution of wave's instantaneous energy and total energy in the time-field and 3) the positions where peak value of the internal force and the plastic strain of tunnel locates,have no relations with the type of seismic wave but transverse shapes of tunnel and the constraint conditions of surrounding rock.
In order to intensivly understand the relationship between seismic wave and dynamic response of tunnel liner and search the influencing factors that affect the appearance place of peak-value of internal-force in tunnel liner,the time-frequency analysis about four inartificial earthquake waves included E1 Centro and one artificial earthquake wave(abbreviation LBG) have been carried out by the Hilbert-Huang transform.By this method,the distribution of earthquake wave energy in the time-field and the frequency-field have been provided.The results show that: 1) the energy magnitude of earthquake wave in the every frequency channel is the governing factor on dynamic response of tunnel;2) the time when peak value of internal force and the plastic strain of tunnel comes,has been determined by the distribution of wave's instantaneous energy and total energy in the time-field and 3) the positions where peak value of the internal force and the plastic strain of tunnel locates,have no relations with the type of seismic wave but transverse shapes of tunnel and the constraint conditions of surrounding rock.
引文
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[2]HUANG N E,SHEN Z,LONG S R,et al.The empirical mode decomposition and Hilbert spectrum for non-linear and non-stationary time series analysis[J].Proceedings of the Royal Society of London Series A-Mathematical Physical andEngineering Sciences,1998,454:903-995.
[3]钟佑明,秦树人,汤宝平.一种振动信号新变换法的研究[J].振动工程学报,2002,15(2):233-238.ZHONG You-ming,QIN Shu-ren,TANG Bao-ping.Study on a new transform method for vibration signal[J].Journal ofViration Engineering,2002,15(2):233-238.(in Chinese)
[4]KOHLMANN K.Corner detection in natural images based on the 2-D hilbert trnasform[J].Signal Processing,1996,48:225-234.
[5]PITTON J W,WANG K,JUANG B.Time-frequency analysis and auditory modeling for automatic recognition of speech[J].Proc IEEE,1996,84(9):1199-1215.
[6]PITTON J,ATLAS L,LOUGHLIN P.Applications of positive time-frequency distributions to speech processing[J].IEEETrans on Speech Audio Process,1994,2(4):554-556.
[7]王连广,张海霞,吴利权.钢骨高强混凝土框架结构非线性地震反应分析[J].沈阳建筑工程学院学报:自然科学版,2003,19(4):247-249.WANG Lian-guang,ZHANG Hai-xia,WU Li-quan.Nonlinear seismic responses analysis of steel encased high-strengthconcrete frame structure[J].Journal of Shenyang Jianzhu University:Natural Science,2003,19(4):247-249.(in Chinese)
[8]LIU P L.Is the wind wave frequency spectrum outdated[J].Ocean Engineering,2000,27:577-588.
[9]BOASHASH B,RISTIC B.Polynomial time-frequency distributions and time-varying higher-order spectra:application to theanalysis of multicomponent FM signal and to the treatment of multiplicative noise[J].Signal Processing,1998,67(1):1-23.
[10]ZHU X,SHEN Z,ECKENNANN S D,et al.Gravity wave characteristics in the middle atmosphere derived from theempirical mode decomposition method[J].J GR-Atmphere,1997,102:545-561.
[11]HUANG N E,ZHENG S,LONG S R.A new view of nonlinear water waves:the hilbert spectrum[J].Annual Review ofFluid Mechanics,1999,31:417-457.
[12]中国建筑科学研究院.GB50011—2001建筑抗震设计规范[S].北京:中国建筑工业出版社,2002.
[13]重庆交通科研设计院.JTG D70—2004公路隧道设计规范[S].北京:人民交通出版社,2004.
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