拟合核电厂多维设计反应谱及相关峰值的地震动调整方法
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摘要
依据核电厂结构的特殊性,提出了一种以核电厂多维设计用伪加速度反应谱及峰值加速度(PGA)、峰值速度(PGV)、峰值位移(PGD)为目标的实际地震动调整方法。该方法首先应用二阶基数B-样条小波函数模拟实际多维地震动场,然后基于离散小波变换的快速算法,将实际地震动加速度时程应用二阶基数B-样条小波函数进行分解;一方面探寻对各向分量的PGA、PGV及PGD影响最大的小波分量,另一方面通过对小波系数进行初步调整以改进时域叠加小波函数的收敛性;最后通过循环调整实现对多维目标反应谱及PGA、PGV、PGD的同时拟合。选取了四组代表不同设计地震分组的三维实际地震记录分析了该方法的可行性,结果表明:该方法不仅较好的保留了原地震动的局部时频特性,且能满足核电厂抗震设计规范的精度要求。
According to the specificity of nuclear power plant structures,a method of modifying earthquake ground motion was proposed for matching multi-dimensional nuclear power plant design response spectra and peak values of ground acceleration(PGA),ground velocity(PGV) and ground displacement(PGD).Firstly,the second cardinal B-spline wavelet was used to simulate multi-dimensional earthquake ground motion.Then,real earthquake records were decomposed into several wavelet components with the fast algorithms of discrete wavelet transformation.On the one hand,the wavelet components affecting PGA,PGV and PGD of each direction could be searched out;on the other hand,the convergence of the synthesis wavelet method could be improved with the preliminary modification of wavelet coefficients.Through iterations,the multi-dimensional target response spectra and PGA,PGV and PGD could be matched simultaneously.Four groups of three-dimensional real records representing different earthquake groups were used to verify the feasibility of the proposed method.The results of numerical examples demonstrated that the method can not only retain the local time-frequency features of the real earthquake records,but also satisfy the precision demand of the codes for a seismic design of nuclear power plants.
According to the specificity of nuclear power plant structures,a method of modifying earthquake ground motion was proposed for matching multi-dimensional nuclear power plant design response spectra and peak values of ground acceleration(PGA),ground velocity(PGV) and ground displacement(PGD).Firstly,the second cardinal B-spline wavelet was used to simulate multi-dimensional earthquake ground motion.Then,real earthquake records were decomposed into several wavelet components with the fast algorithms of discrete wavelet transformation.On the one hand,the wavelet components affecting PGA,PGV and PGD of each direction could be searched out;on the other hand,the convergence of the synthesis wavelet method could be improved with the preliminary modification of wavelet coefficients.Through iterations,the multi-dimensional target response spectra and PGA,PGV and PGD could be matched simultaneously.Four groups of three-dimensional real records representing different earthquake groups were used to verify the feasibility of the proposed method.The results of numerical examples demonstrated that the method can not only retain the local time-frequency features of the real earthquake records,but also satisfy the precision demand of the codes for a seismic design of nuclear power plants.
引文
[1]GB50267-1997,核电厂抗震设计规范[S].国家技术监督局,中华人民共和国建设部,1997.
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[5]赵凤新,张郁山.拟合峰值位移与目标反应谱的人造地震动[J].核动力工程,2007,28(2):38-41.
[6]贺瑞,秦权.产生时程分析用的高质量地面运动时程的新方法[J].工程力学,2006,8(8):12-19.
[7]Hancock J,Watson-Lamprey J,Abrahamson N A,et al.Animproved method of matching response spectra of recordearthquake ground motion using wavelets[J].Journal ofEarthquake Engineering,2006,10(1):67-89.
[8]Mukherjee S,Gupta V K.Wavelet-based generation ofspectrum compatible time-histories[J].Soil Dynamics andEarthquake Engineering,2002,22(9):799-804.
[9]谢异同,张同亿,吴敏哲.时程分析中设计地震动调整的小波分析方法[J].地震工程与工程振动,2002,3(6):19-23.
[10]Chopra A K著,谢礼立,吕大刚,译.结构动力学:理论及其在地震工程中的应用(第二版)[M].北京:高等教育出版社,2005.
[11]徐长发,李国宽.实用小波方法(第二版)[M].武汉:华中科技大学出版社,2004.
[12]Chui C K.An introduction to wavelets[M].San Diego:Academic Press,1992.
[13]Lihanand K,Tseng W S.Development and application ofrealistic earthquake time histories compatible with multi-damping design spectra[C].Proceedings of the 9th WorldConference on Earthquake Engineering,9WCEE OrganizingCommittee,Tokyo Japan,Ⅱ,1988,819-824.
[14]李忠诚,赵凤新.不同法规关于核电厂设计地震动合成的技术要求比较[J].核动力工程,2006,27(2):17-21.
[2]胡聿贤.地震工程学(第二版)[M].北京:地震出版社,2006.
[3]杨庆山,姜海鹏.基于相位差谱的时频非平稳人造地震动的反应谱拟合[J].地震工程与工程振动,2002,22(1):32-38.
[4]赵凤新,张郁山.拟合峰值速度与目标反应谱的人造地震动[J].核动力工程,2006,28(4):429-437.
[5]赵凤新,张郁山.拟合峰值位移与目标反应谱的人造地震动[J].核动力工程,2007,28(2):38-41.
[6]贺瑞,秦权.产生时程分析用的高质量地面运动时程的新方法[J].工程力学,2006,8(8):12-19.
[7]Hancock J,Watson-Lamprey J,Abrahamson N A,et al.Animproved method of matching response spectra of recordearthquake ground motion using wavelets[J].Journal ofEarthquake Engineering,2006,10(1):67-89.
[8]Mukherjee S,Gupta V K.Wavelet-based generation ofspectrum compatible time-histories[J].Soil Dynamics andEarthquake Engineering,2002,22(9):799-804.
[9]谢异同,张同亿,吴敏哲.时程分析中设计地震动调整的小波分析方法[J].地震工程与工程振动,2002,3(6):19-23.
[10]Chopra A K著,谢礼立,吕大刚,译.结构动力学:理论及其在地震工程中的应用(第二版)[M].北京:高等教育出版社,2005.
[11]徐长发,李国宽.实用小波方法(第二版)[M].武汉:华中科技大学出版社,2004.
[12]Chui C K.An introduction to wavelets[M].San Diego:Academic Press,1992.
[13]Lihanand K,Tseng W S.Development and application ofrealistic earthquake time histories compatible with multi-damping design spectra[C].Proceedings of the 9th WorldConference on Earthquake Engineering,9WCEE OrganizingCommittee,Tokyo Japan,Ⅱ,1988,819-824.
[14]李忠诚,赵凤新.不同法规关于核电厂设计地震动合成的技术要求比较[J].核动力工程,2006,27(2):17-21.
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