饱和土动力学问题Green函数计算的抽象集成与OOP实现
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摘要
Green函数在BEM(boundary element method)计算中的降维效应、积分方程的数值直接求解和奇异解自动满足无穷远辐射条件,这些在土动力学计算问题上独特的优点,早已被研究者认同.但在计算机技术迅速发展的今天,面向对象编程在广泛开拓与应用,Green函数能在计算技术上简便地集成与抽象,实现简约编程,却一直未被发现.该文根据已有的土动力问题的Green函数计算方法,对Green函数进行了OOP(object-oriented programming)条件下的再抽象与集成.提出面向对象的计算过程,并根据作者得到两相饱和介质Green函数,成功地计算了波场法的饱和土隧道中的动力反应问题,并给出时程曲线与瞬态的振动解答.
引文
1Brebbia C A,Walker S.Boundary Element Techniques in Engineering.London:Newnes-Butterworths,1980
2Beskos D E.Boundary Element Methods in Mechanics.Amsterdam:North-Holland,1987
3Coad P,Yourdon E.Object-Oriented Analysis.New York:Yourdon Press,1992
4Eringen A C,Suhubi E S.Elastodynamics,Vol.2:Linear Theory.New York:Academic Press,1975
5Kontoni D P N,Beskos D E,Manolis G D.Uniform half-plane elastodynamic problems by an approximate boundary element method.Soil Dyn Earthq Eng,1987,6:227—238
6Manolis G D.Elastic wave scattering around cavities in inhomogeneous continua by the BEM.J Sound Vibr,2003,266:281—305
7Dominguez J,Abascal R.Dynamics of Foundations in Topics in Boundary Element Research.Berlin:Springer-Verlag,1987,4:27—75
8Siddharthan R,Zafir Z,Norris G M.Moving load response of layered soil.I:Formulation.J Eng Mech,1993,119:2052—2071
9Forrest J A,Hunt H E M.Ground vibration generated by trains in underground tunnels.J Sound Vibr,2006,294:706—736
10Lu J F,Jeng D S,Lee T L.Dynamic response of a piecewise circular tunnel embedded in a poroelastic medium.Soil Dyn Earthq Eng,2007,27:875—891
11Sen R,Davies T G,Banerjee P K.Dynamic analysis of piles and pile groups embedded in homogeneous soils.Earthq Eng Struct Dyn,1985,13:53—65
12Almeida V S,de Paiva J B.Static analysis of soil/pile interaction in layered soil by BEM/BEM coupling.Adv Eng Softw,2007,38:835—845
13Padrón L A,Aznárez J J,Maeso O.BEM–FEM coupling model for the dynamic analysis of piles and pile groups.Eng Anal Bound Elem,2007,31:473—484
14Manolis G D,Beskos D E.Dynamic response of lined tunnels by an isoparametric boundary element method.Comp Meth Appl Mech Eng,1983,36:291—307
15Ivansson S,Bishop J.Travelling-wave representations of diffraction using leaky-mode Green function expansions.J Sound Vibr,2003,262:1223—1234
16Lee H S,Wang K H,Williams A N.A three-dimensional modeling of multidirectional random wave diffraction by rectangular submarine pits.Ocean Eng,2007,34:665—675
17Das S.Numerical method for determination of source time functions for general three-dimensional rupture propagation.Grophys J R Astron Soc,1980,62:591—604
18Madariage R,Olsen K,Archuleta R.Modeling dynamic rupture in a3D earthquake fault model.Bull Seism Soc Amer,1998,88(5):1182—1197
19Quentin G,Salah N,Alexandre W.On the transmission of transient elastodynamic waves at a frictionless contact interface;application to a weakly coupled biomaterial.Int J of Solids Struct,2004,41:459—480
20Luccio F D,Fukuyama E,Pino N A.The2002Molise earthquake sequence:What can we learn about the tectonics of southern Italy?Tectonophysics,2005,405:141—154
21Silvea E J,Mesquita R C,Saldanha R R,et al.An object-oriented finite-element program for electro magnetic field computation.IEEE Trans Magn,1994,30:3618—3621
22Cleary M P.Fundament solutions for a fluid-saturated porous solid.Int J Solids Struct,1977,13:785—806
23Burridge R,Vargas C A.The Fundamental solutions in dynamic poroelasticity.Geophys J R Astr Soc,1979,58:61—90
24Norris A N.Radiation from a point source and scattering theory in a fluid saturated porous solid.J Acoust Soc Amer,1985,77:2012—2023
25Kaynia A M,Banerjee P K.Fundamental solutions of Biot’s equation of dynamic poroelasticity.Int J Eng Sci,1992,77:12—23
26Chen J.Time domain function solution to Boit’s complete equations of dynamic poroelasticity.Part I:Two-dimensional solution.Int J Solid Struct,1994,31(10):1447—1490
27Chen J.Time domain function solution to boit’s complete equations of dynamic poroelasticity.Part II:Three-dimensional solution.Int J Solid Struct,1994,31(2):169—202
28丁伯阳,樊良本,吴建华.两相饱和介质中的集中力电源位移场解与应用.地球物理学报,1999,42(6):800—808
29丁伯阳,丁翠红,孟凡丽.集中力作用下的两相饱和介质位移场Green函数.力学学报,2001,33(2):234—241
30丁伯阳,孟凡丽,胡敏云.两相饱和介质的弹性位错震源矢量与静态位移场.地震学报,2002,14(3):251—258
31丁伯阳,樊良本,孟凡丽,等.两相饱和介质半无限空间位错位移场.地球物理学报,2003,46(3):408—414
32丁伯阳,丁翠红,陈禹,等.集中力作用下两相饱和介质二维位移场Green函数.应用数学与力学,2004,25(8):869—874
33de Hoop A T.The surface line source problem.Appl Sci Res,1958,4(B8):349—356
34Manolis G D.Comparative study on three boundary element approaches to problems in elastodynamics.Int J Numer Meth Eng,1983,19:73—91
35Craig R F.Soil Mechanics.New York:E&FN Spon,1999
36刘银斌,李幼铭,吴如山.横向各向同性多孔介质中的地震波传播.地球物理学报,1994,37:499—514
2Beskos D E.Boundary Element Methods in Mechanics.Amsterdam:North-Holland,1987
3Coad P,Yourdon E.Object-Oriented Analysis.New York:Yourdon Press,1992
4Eringen A C,Suhubi E S.Elastodynamics,Vol.2:Linear Theory.New York:Academic Press,1975
5Kontoni D P N,Beskos D E,Manolis G D.Uniform half-plane elastodynamic problems by an approximate boundary element method.Soil Dyn Earthq Eng,1987,6:227—238
6Manolis G D.Elastic wave scattering around cavities in inhomogeneous continua by the BEM.J Sound Vibr,2003,266:281—305
7Dominguez J,Abascal R.Dynamics of Foundations in Topics in Boundary Element Research.Berlin:Springer-Verlag,1987,4:27—75
8Siddharthan R,Zafir Z,Norris G M.Moving load response of layered soil.I:Formulation.J Eng Mech,1993,119:2052—2071
9Forrest J A,Hunt H E M.Ground vibration generated by trains in underground tunnels.J Sound Vibr,2006,294:706—736
10Lu J F,Jeng D S,Lee T L.Dynamic response of a piecewise circular tunnel embedded in a poroelastic medium.Soil Dyn Earthq Eng,2007,27:875—891
11Sen R,Davies T G,Banerjee P K.Dynamic analysis of piles and pile groups embedded in homogeneous soils.Earthq Eng Struct Dyn,1985,13:53—65
12Almeida V S,de Paiva J B.Static analysis of soil/pile interaction in layered soil by BEM/BEM coupling.Adv Eng Softw,2007,38:835—845
13Padrón L A,Aznárez J J,Maeso O.BEM–FEM coupling model for the dynamic analysis of piles and pile groups.Eng Anal Bound Elem,2007,31:473—484
14Manolis G D,Beskos D E.Dynamic response of lined tunnels by an isoparametric boundary element method.Comp Meth Appl Mech Eng,1983,36:291—307
15Ivansson S,Bishop J.Travelling-wave representations of diffraction using leaky-mode Green function expansions.J Sound Vibr,2003,262:1223—1234
16Lee H S,Wang K H,Williams A N.A three-dimensional modeling of multidirectional random wave diffraction by rectangular submarine pits.Ocean Eng,2007,34:665—675
17Das S.Numerical method for determination of source time functions for general three-dimensional rupture propagation.Grophys J R Astron Soc,1980,62:591—604
18Madariage R,Olsen K,Archuleta R.Modeling dynamic rupture in a3D earthquake fault model.Bull Seism Soc Amer,1998,88(5):1182—1197
19Quentin G,Salah N,Alexandre W.On the transmission of transient elastodynamic waves at a frictionless contact interface;application to a weakly coupled biomaterial.Int J of Solids Struct,2004,41:459—480
20Luccio F D,Fukuyama E,Pino N A.The2002Molise earthquake sequence:What can we learn about the tectonics of southern Italy?Tectonophysics,2005,405:141—154
21Silvea E J,Mesquita R C,Saldanha R R,et al.An object-oriented finite-element program for electro magnetic field computation.IEEE Trans Magn,1994,30:3618—3621
22Cleary M P.Fundament solutions for a fluid-saturated porous solid.Int J Solids Struct,1977,13:785—806
23Burridge R,Vargas C A.The Fundamental solutions in dynamic poroelasticity.Geophys J R Astr Soc,1979,58:61—90
24Norris A N.Radiation from a point source and scattering theory in a fluid saturated porous solid.J Acoust Soc Amer,1985,77:2012—2023
25Kaynia A M,Banerjee P K.Fundamental solutions of Biot’s equation of dynamic poroelasticity.Int J Eng Sci,1992,77:12—23
26Chen J.Time domain function solution to Boit’s complete equations of dynamic poroelasticity.Part I:Two-dimensional solution.Int J Solid Struct,1994,31(10):1447—1490
27Chen J.Time domain function solution to boit’s complete equations of dynamic poroelasticity.Part II:Three-dimensional solution.Int J Solid Struct,1994,31(2):169—202
28丁伯阳,樊良本,吴建华.两相饱和介质中的集中力电源位移场解与应用.地球物理学报,1999,42(6):800—808
29丁伯阳,丁翠红,孟凡丽.集中力作用下的两相饱和介质位移场Green函数.力学学报,2001,33(2):234—241
30丁伯阳,孟凡丽,胡敏云.两相饱和介质的弹性位错震源矢量与静态位移场.地震学报,2002,14(3):251—258
31丁伯阳,樊良本,孟凡丽,等.两相饱和介质半无限空间位错位移场.地球物理学报,2003,46(3):408—414
32丁伯阳,丁翠红,陈禹,等.集中力作用下两相饱和介质二维位移场Green函数.应用数学与力学,2004,25(8):869—874
33de Hoop A T.The surface line source problem.Appl Sci Res,1958,4(B8):349—356
34Manolis G D.Comparative study on three boundary element approaches to problems in elastodynamics.Int J Numer Meth Eng,1983,19:73—91
35Craig R F.Soil Mechanics.New York:E&FN Spon,1999
36刘银斌,李幼铭,吴如山.横向各向同性多孔介质中的地震波传播.地球物理学报,1994,37:499—514
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