地震反应分析中的动力人工边界
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摘要
本文从基本的波动理论出发,综合论述了在地震荷载作用下的各种局部人工边界处理方法和特点,同时论述了人工边界在现今流行的各大型商用软件的实现及其可行性。并运用商用软件的二次开发功能对几种常用人工边界进行了验证分析,对实际工程以及工程设计有很强的参考价值。
With the basic theory of the wave,the paper discuss the treatment and characteristics of the variety of local artificial boundary at seismic loads.And also discuss the realization and feasibility in the large commercial software which are popular in today.With the functions of the secondary development of commercial software,the paper carried out several artificial boundary and verified precision and stabilization of the artificial boundary.It has a strong reference value for the actual project.
With the basic theory of the wave,the paper discuss the treatment and characteristics of the variety of local artificial boundary at seismic loads.And also discuss the realization and feasibility in the large commercial software which are popular in today.With the functions of the secondary development of commercial software,the paper carried out several artificial boundary and verified precision and stabilization of the artificial boundary.It has a strong reference value for the actual project.
引文
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[2]Kausel E.Local transmitting boundaries[J].J Engng Mech,1988,114(6):1011—1027.
[3]Medina F,Tailao R.Finite element technicals for problems of unbounded domains[J].Int J Nume Methods in Engi,1983,19(4):1209—1226.
[4]廖振鹏.近场波动的数值模拟[J].力学进展,1997,27(2):193-212.
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[11]Givolid,Neta B.Finite element analysis of timedependent semi-infinite wave-guides with highorder boundary treatment[J].Int J Numer Meth Engng,2003,58:1955—1983.
[12]Givolid.Neta B.High-order non-reflecting boundary scheme for time-dependent waves[J].Journal of Computational Physics,2003,186:24—46.
[13]王兵见,刘云天.通用有限元系统实现无限域波动仿真方法[J].计算力学学报,2007,24(5):628,632.
[14]Deeks A J,Randolph M F.Axisymmetric time-domain transmitting boundaries[J].Journal of Engineering Mechanics,1994,120(1):25—42.
[15]刘晶波,吕彦东.结构地基动力相互作用问题分析的一种直接方法[J].土木工程学报,1998,31(3):55—64.
[16]刘晶波,杜义欣,闫秋实.粘弹性人工边界及地震动输入在通用有限元软件中的实现[J].防灾减灾工程学报,2007,27(增刊):34-42.
[17]廖振鹏.工程波动理论导引[M].北京:科学出版社,1996.266—268.
[18]关慧敏,廖振鹏.局部透射边界和叠加边界的精度分析与比较[J].力学学报,1994,26(3):303—311.
[19]关慧敏,廖振鹏.局部人工边界稳定性的一种分析方法[J].力学学报,1996,28(5):376—380.
[20]李小军,廖振鹏.时域局部透射边界的计算漂移失稳[J].力学学报,1996,28(5):627—632.
[21]赵密.粘弹性人工边界及其与透射人工边界的比较研究[M].北京工业大学硕士论文.
[22]Higdon R L.Numerical absorbing boundary conditions for the wave equation[J].Math Comp,1987,49:65—90.
[23]Stacey R.An explicit unstable mode in the clayton and engquist transparent boundary prescription[J].BSSA,1991,81:694—698.
[24]Liao Z P,Liu J B.Numerical instabilities of a local transmitting boundary[J].Earthq Eng Struct Dyn,1992,21:65—77.
[25]宋贞霞,丁海平.粘弹性边界在大型程序中的应用[J].防灾减灾工程学报,2007,27(增刊):43-46.
[26]王一功,杨佑发.针对场地地震反应分析的ANSYS二次开发[J].地震工程与工程振动,2004.24(2):42-45.
[27]楼梦麟,林皋.粘弹性地基中人工边界的波动反射效应[J].水利学报,1986,6:20-30.
[28]张燎军,张慧星,王大胜,等.黏弹性人工边界在ADINA中的应用[J].世界地震工程,2008,24(1):12-16.
[29]孔戈,丁海平,金星,等.多次透射边界在ANSYS软件中的应用[J].工程抗震与加固改造,2005,27(2):67-70.
[2]Kausel E.Local transmitting boundaries[J].J Engng Mech,1988,114(6):1011—1027.
[3]Medina F,Tailao R.Finite element technicals for problems of unbounded domains[J].Int J Nume Methods in Engi,1983,19(4):1209—1226.
[4]廖振鹏.近场波动的数值模拟[J].力学进展,1997,27(2):193-212.
[5]Lysmer J,Kulemeyer R L.Finite dynamic model for infinite media[J].J EngngMechDiv,ASCE,1969,95:859—877.
[6]Smith W.A non reflecting plane boundary for wave propagation problems[J].J Comp Phys,1973,15:492—503.
[7]Kunar R R,Marti J.A non-reflecting boundary for explicit calculations[J].Computational Methods for Infinite Domain Media Structure Interactio,ASME,AMD46,1981:183—204.
[8]Clayton R,Engquist B.Absorbing boundary conditions for acoustic and elastic wave equations[J].Bull Seism Soc Amer,1977,76:1529—1540.
[9]Clayton R,Engquist B.Absorbing boundary conditions for wave equation migration[J].Geophysics,1980,45:895—904.
[10]Higdon R L.Absorbing boundary conditions for difference approximations to the multi-dimensional wave equation[J].Math Comp,1986,47:437—459.
[11]Givolid,Neta B.Finite element analysis of timedependent semi-infinite wave-guides with highorder boundary treatment[J].Int J Numer Meth Engng,2003,58:1955—1983.
[12]Givolid.Neta B.High-order non-reflecting boundary scheme for time-dependent waves[J].Journal of Computational Physics,2003,186:24—46.
[13]王兵见,刘云天.通用有限元系统实现无限域波动仿真方法[J].计算力学学报,2007,24(5):628,632.
[14]Deeks A J,Randolph M F.Axisymmetric time-domain transmitting boundaries[J].Journal of Engineering Mechanics,1994,120(1):25—42.
[15]刘晶波,吕彦东.结构地基动力相互作用问题分析的一种直接方法[J].土木工程学报,1998,31(3):55—64.
[16]刘晶波,杜义欣,闫秋实.粘弹性人工边界及地震动输入在通用有限元软件中的实现[J].防灾减灾工程学报,2007,27(增刊):34-42.
[17]廖振鹏.工程波动理论导引[M].北京:科学出版社,1996.266—268.
[18]关慧敏,廖振鹏.局部透射边界和叠加边界的精度分析与比较[J].力学学报,1994,26(3):303—311.
[19]关慧敏,廖振鹏.局部人工边界稳定性的一种分析方法[J].力学学报,1996,28(5):376—380.
[20]李小军,廖振鹏.时域局部透射边界的计算漂移失稳[J].力学学报,1996,28(5):627—632.
[21]赵密.粘弹性人工边界及其与透射人工边界的比较研究[M].北京工业大学硕士论文.
[22]Higdon R L.Numerical absorbing boundary conditions for the wave equation[J].Math Comp,1987,49:65—90.
[23]Stacey R.An explicit unstable mode in the clayton and engquist transparent boundary prescription[J].BSSA,1991,81:694—698.
[24]Liao Z P,Liu J B.Numerical instabilities of a local transmitting boundary[J].Earthq Eng Struct Dyn,1992,21:65—77.
[25]宋贞霞,丁海平.粘弹性边界在大型程序中的应用[J].防灾减灾工程学报,2007,27(增刊):43-46.
[26]王一功,杨佑发.针对场地地震反应分析的ANSYS二次开发[J].地震工程与工程振动,2004.24(2):42-45.
[27]楼梦麟,林皋.粘弹性地基中人工边界的波动反射效应[J].水利学报,1986,6:20-30.
[28]张燎军,张慧星,王大胜,等.黏弹性人工边界在ADINA中的应用[J].世界地震工程,2008,24(1):12-16.
[29]孔戈,丁海平,金星,等.多次透射边界在ANSYS软件中的应用[J].工程抗震与加固改造,2005,27(2):67-70.
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