引文
[1]廖振鹏.近场波动的有限元模拟[J].地震工程与工程振动,1984,4(2):1–14.(LIAO Zhen-peng.A finite elementmethod for near-field wave motion in heterogeneousmaterials[J].Earthquake Engineering and EngineeringVibration,1984,4(2):1–14.(in Chinese))
[2]WOLF P.Soil-structure dynamic interaction analysis in timedomain[C]//Prentice-Hall,Englewood Cliffs.NJ,1988.
[3]WOLF P,SONG C.Finite-element modelling of unboundedmedia[C]//John Wiley,Sons,Chichester,1996.
[4]GIVOLI D.Numerical methods for problems in infinitedomain[C]//Elsevier,Amsterdam,1992.
[5]CHENG N,CHENG C H.Relationship between Liao andClayton-Engquist absorbing boundary condition:acousticcase[J].The Bulletin of the Seismological Society of America,1995,85(3):954–956.
[6]邵秀民,蓝志凌.各向异性弹性介质中波动方程的吸收边界条件[J].地球物理学报,1995,38(增刊1):56–72.(SHAO Xiu-min,LAN Zhi-ling.Absorbing boundaryconditions of equations of wave motion in anisotropic elasticmedia[J].Chinese Journal of Geophysics,1995,38(S1):56–72.(in Chinese))
[7]邵振海,洪伟,周健义.透射边界条件的统一理论[J].中国科学(E),2000,30(1):64–69.(SHAO Zhen-hai,HONGWei,ZHOU Jian-yi.A unified theory of transmittingboundary conditions[J].Science in China(E),2000,30(1):64–69.(in Chinese))
[8]廖振鹏.工程波动理论导论[M].第2版.北京:科学出版社,2002.(LIAO Zheng-Peng.Introduction to wave motiontheory in engineering[M].2nd ed.Beijing:Science Press,2002.(in Chinese))
[9]廖振鹏,刘晶波.波动有限元模拟的基本问题[J].中国科学(B辑),1992,34(8):874–882.(LIAO Zheng-Peng,LIUJing-bo.Fundamental problems in finite element simulationof wave motion[J].Science in China(Series B),1992,34(8):874–882.(in Chinese))
[10]LIAO Zheng-peng,LIU Jing-bo.Numerical instabilities of alocal transmitting boundary[J].Earthquake Engineering andStructural Dynamics,1992,21(1):65–77.
[11]廖振鹏,周正华,张艳红.波动数值模拟中透射边界的稳定实现[J].地球物理学报,2002,45(4):533–545.(LIAOZheng-peng,ZHOU Zheng-hua,ZHANG Yan-hong.Stableimplementation of transmitting boundary in numericalsimulation of wave motion[J].Chinese Journal of Geophysics,2002,45(4):533–545.(in Chinese))
[12]李小军,唐晖.结构体系动力方程求解的显式积分格式的能耗特征[J].工程力学,2007,24(2):28–33.(LI Xiao-jun,TANG Hui.Numerical dissipation property of an explicitintegration scheme for dynamic equation of structuralsystem[J].Engineering Mechanics,2007,24(2):28–33.(inChinese))
[13]李小军.非线性场地地震反应分析方法研究[D].哈尔滨:国家地震局工程力学研究所,1993.(LI Xiao-jun.Study onthe method for analyzing the earthquake response ofnonlinear site[D].Harbin Institute of Engineering Mechanics,State Seismological Bureau,1993.(in Chinese))
[14]李小军,廖振鹏.时域局部透射边界的计算飘移失稳[J].力学学报,1996,28(5):627–632.(LI Xiao-jun,LIAOZhen-peng.The drift instability of local transmittingboundary in time domain[J].Acta Mechanica Sinica,1996,28(5):627–632.(in Chinese))
[15]WAGNER R L,CHEW W C.An analysis of Liao's absorbingboundary condition[J].Journal of Electromagnetic Waves andApplications,1995,9(7-8):993–1009.
[16]周正华,廖振鹏.消除多次透射公式飘移失稳的措施[J].力学学报,2001,33(4):550–554.(ZHOU Zheng-hua,LIAOZhen-peng.A measure for eliminating drift instability of themulti-transmitting formula[J].Acta Mechanica Sinica,2001,33(4):550–554.(in Chinese))
[17]周正华,廖振鹏.修正算子0 0γB的物理含义解释[J].地震工程与工程振动,2004,24(5):17–19.(ZHOU Zheng-hua,LIAO Zhen-peng.The interpretation of physical implication of modified operator0 0γB[J].Earthquake Engineering and Engineering Vibration,2004,24(5):17–19.(in Chinese))
[18]刘晶波,谷音,杜义欣.一致黏弹性人工边界及黏弹性边界元[J].岩土工程学报,2006,28(9):1070–1075.(LIU Jing-bo,GU Yin,DU Yi-xin.Consistent viscous-spring artificial boundaries and viscous-spring boundary elements[J].Chinese Journal of Geotechnical Engineering,2006,28(9):1070–1075.(in Chinese))
[19]LI Xiao-Jun,LIAO Zhen-peng,GUAN Hui-min.An explicit finite element-finite difference method for analyzing the effect of visco-elastic local topography on the earthquake motion[J].ACTA Seismologica Sinica,1995,8(3):447–456.
[20]李小军,廖振鹏,杜修力.有阻尼体系动力问题的一种显式差分解法[J].地震工程与工程振动,1992,12(4):74–80.(LI Xiao-jun,LIAO Zhen-peng,DU Xiu-li.An explicit finite difference method for viscoelastic dynamic problem[J].Earthquake Engineering and Engineering Vibration,1992,12(4):74–80.(in Chinese))