结合透射边界的特征线差分地震反应分析研究
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摘要
土层地震反应分析是地震工程研究的重点内容,时域积分法是土层地震反应分析的研究热点。特征线差分法具有计算耗时短、精确度高的特点,同时能够较为真实的反映地震波传播过程和土体的动力非线性特性。传统的特征线差分法以刚性边界计算,导致计算结果持续震荡而不"衰减"。本文将刚性边界条件改为人工边界,能够使计算得到的时程逐渐衰减至零从而符合实际。通过实例计算分析证实了本文工作的正确性,同时发现刚性边界条件下地表的速度时程、加速度时程和反应谱的优势频段会增强、增宽,并随着持时增加这种现象将更加明显。
Soil seismic response analysis is an important content of Earthquake Engineering,and the integral method in time domain is the focused point. The characteristic-difference method can solve the problem more precisely in a shorter time,besides,it can reflect the progress of the wave propagation and the non-linear property of the soil. The prevenient method used the rigid boundary,then the time history do not attenuate. In order to make the results close to the real recordings,combine the transmitting boundary with the characteristic-difference method,we calculate an example and find that the preponderant band of frequency of the surface velocity,acceleration and response spectrum becomes stronger and wider under the rigid boundary,and this phenomenon becomes more evident with the duration increases.
Soil seismic response analysis is an important content of Earthquake Engineering,and the integral method in time domain is the focused point. The characteristic-difference method can solve the problem more precisely in a shorter time,besides,it can reflect the progress of the wave propagation and the non-linear property of the soil. The prevenient method used the rigid boundary,then the time history do not attenuate. In order to make the results close to the real recordings,combine the transmitting boundary with the characteristic-difference method,we calculate an example and find that the preponderant band of frequency of the surface velocity,acceleration and response spectrum becomes stronger and wider under the rigid boundary,and this phenomenon becomes more evident with the duration increases.
引文
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[8]Streeter VL,EB Wylie,E Benjamin et al.Soil motions computations by characteristics method[J].Journal of the Geotechnical Engineering Division ASCE,1974,100(3):247-263.
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[11]谢定义.土动力学[M].北京:高等教育出版社,2011:412-415.XIE Dingyi.Soil dynamics[M].Beijing:Higher Education Express,2011,12:412-415.(in Chinese)
[12]廖振鹏.工程波动理论导论(第二版)[M],北京:科学出版社,2002:59-65.LIAO Zhenpeng.Introduction to wave motion theories for engineering(second edition)[M].Beijing:Science Express,2002,59-65.(in Chinese)
[2]李小军.一维土层地震反应线性化计算程序.地震小区划理论与实践[M].北京:地震出版社,1989:250-265.LI Xiaojun.A computer program for one dimensional equivalent-linear soil response analyses.Theory and practice of engineering seismic micro zonation[M].Beijing:Earthquake Express,1989:250-235.(in Chinese)
[3]袁一凡,田启文.工程地震学[M].北京:地震出版社,2012:281-295.YUANYifan,TIAN Qiwen.Engineering earthquake[M].Beijing:Earthquake Express,2012:281-295.(in Chinese)
[4]陈国兴,谢君斐,韩炜.土体地震反应分析的简化有效应力法[J].地震工程与工程振动,1995,15(2):52-61.CHEN Guoxing,XIE Junfei,HAN Wei.A simplified effective stress method of soil mass earthquake response analysis[J].Earthquake Engineering and Engineering Vibration,1995,15(2):52-61.(in Chinese)
[5]Whitman RV,Roesset I,Dobry R.Accuracy of modal superposition for one-dimensional soil amplification analysis[J].Proc.Int.Conf.on Micro zonation,I,Seattle,1972.
[6]张克绪,谢君斐.土动力学[M].北京:地震出版社,1989:75-86.ZHANG Kexu,XIE Junfei.Soil dynamics[M].Beijing:Earthquake Express,1989:75-86.(in Chinese)
[7]胡聿贤.地震工程学(第二版)[M].北京:地震出版社,2006:222-227.HU Yuxian.Earthquake engineering(second edition)[M].Beijing:Earthquake Express,2006:222-227.(in Chinese)
[8]Streeter VL,EB Wylie,E Benjamin et al.Soil motions computations by characteristics method[J].Journal of the Geotechnical Engineering Division ASCE,1974,100(3):247-263.
[9]Papadakis CN,Streeter VL,E Benjamin et al.Bedrock motions computed from surface seismograms[J].Journal of the Geotechnical Engineering Division ASCE,1974,100(3):1091-1106.
[10]王志良,韩清宇.粘弹塑性土层地震反应的波动分析法[J].地震工程与工程振动,1981,1(1):117-135.WANG Zhiliang,HAN Qingyu.Fluctuation Analysis method for seismic response in visco-elastic plastic soil[J],Earthquake Engineering and Engineering Vibration,1981(6),col(1).(in Chinese)
[11]谢定义.土动力学[M].北京:高等教育出版社,2011:412-415.XIE Dingyi.Soil dynamics[M].Beijing:Higher Education Express,2011,12:412-415.(in Chinese)
[12]廖振鹏.工程波动理论导论(第二版)[M],北京:科学出版社,2002:59-65.LIAO Zhenpeng.Introduction to wave motion theories for engineering(second edition)[M].Beijing:Science Express,2002,59-65.(in Chinese)
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