柱面波在半空间中洞室周围的散射
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摘要
采用一种间接边界积分方程法求解了柱面波在半空间中洞室周围的散射问题。通过边界条件的验算以及退化解答与精确解的比较,验证了本文方法的计算精度。文中主要分析了入射波频率、波源与洞室距离等参数对洞室附近地表位移响应和洞室动应力集中的影响,得出了一些有益的结论。
The scattering of cylindrical waves by a cavity in half-space is investigated by using an indirect boundary integral equation method(IBIEM).By checking the satisfaction of the boundary condition and comparing the degenerated result with the exact solution,the accuracy of this study is verified.The effect of the incident frequency,the distance between wave source and cavity,etc.on the surface ground motion and the dynamic stress concentration factor(DSCF) around the cavity are discussed,and some useful conclusions are obtained.They are helpful to the explosion resistant design of engineerings.
The scattering of cylindrical waves by a cavity in half-space is investigated by using an indirect boundary integral equation method(IBIEM).By checking the satisfaction of the boundary condition and comparing the degenerated result with the exact solution,the accuracy of this study is verified.The effect of the incident frequency,the distance between wave source and cavity,etc.on the surface ground motion and the dynamic stress concentration factor(DSCF) around the cavity are discussed,and some useful conclusions are obtained.They are helpful to the explosion resistant design of engineerings.
引文
[1]Pao Y H,Mow C C.Diffraction of elastic waves and dynamic stress concentrations[M].NewYork:Crane Russak and Company,Inc.,1973.
[2]Lee VW.On the deformations near circular underground cavity subjected to incident plane SH-waves[C]∥Proceedings of the Computer methodsin Engineering Conference,University of Southern California,Los Angeles,1977,2:951-962.
[3]Lee V W,Trifunac MD.Response of tunnels to incident SH-waves[J].Journal of Engineering Mechanics,ASCE,1979,105:643-659.
[4]Datta S K,Shah A H.Scattering of SHwaves by embedded cavities[J].Wave Motion,1982,4(3):265-283.
[5]Manolis GD,Beskos D E.Boundary element methods in elastodynamics[M].London:Unwin Hyman,1988.
[6]Luco J E,De Barros F C P.Dynamic displacements and stresses in the vicinity of a cylindrical cavity embedded in a half-space[J].EarthquakeEngineering and Structural Dynamics,1994,23:321-340.
[7]刘殿魁,林宏.浅埋的圆柱形洞室对SH波的散射与地震动[J].爆炸与冲击,2003,23(1):6-12.
[8]林宏,刘殿魁.半无限空间中圆形洞室周围SH波的散射[J].地震工程与工程振动,2002,22(2):9-16.
[9]梁建文,巴振宁,Lee V W.平面P波在饱和半空间洞室周围的散射(I)[J].地震工程与工程振动,2007,27(1):1-6.
[10]梁建文,巴振宁,Lee V W.平面P波在饱和半空间洞室周围的散射(II)[J].地震工程与工程振动,2007,27(2):1-11.
[11]Liang J,Ba Z,Lee VW.Diffraction of plane SVwaves by an underground circular cavity in a saturated poroelastic half-space[J].ISETJournalof Earthquake Technology,2007,44(2):341-375.
[12]丁美.地下圆形衬砌隧洞对柱面SH波的散射解析解[D].天津:天津大学,2004.
[13]Wong HL.Effect of surface topography on the diffraction of P,SV,and Rayleigh waves[J].Bulletin of Seismological Societ of America,1982,72:1167-1183.
[2]Lee VW.On the deformations near circular underground cavity subjected to incident plane SH-waves[C]∥Proceedings of the Computer methodsin Engineering Conference,University of Southern California,Los Angeles,1977,2:951-962.
[3]Lee V W,Trifunac MD.Response of tunnels to incident SH-waves[J].Journal of Engineering Mechanics,ASCE,1979,105:643-659.
[4]Datta S K,Shah A H.Scattering of SHwaves by embedded cavities[J].Wave Motion,1982,4(3):265-283.
[5]Manolis GD,Beskos D E.Boundary element methods in elastodynamics[M].London:Unwin Hyman,1988.
[6]Luco J E,De Barros F C P.Dynamic displacements and stresses in the vicinity of a cylindrical cavity embedded in a half-space[J].EarthquakeEngineering and Structural Dynamics,1994,23:321-340.
[7]刘殿魁,林宏.浅埋的圆柱形洞室对SH波的散射与地震动[J].爆炸与冲击,2003,23(1):6-12.
[8]林宏,刘殿魁.半无限空间中圆形洞室周围SH波的散射[J].地震工程与工程振动,2002,22(2):9-16.
[9]梁建文,巴振宁,Lee V W.平面P波在饱和半空间洞室周围的散射(I)[J].地震工程与工程振动,2007,27(1):1-6.
[10]梁建文,巴振宁,Lee V W.平面P波在饱和半空间洞室周围的散射(II)[J].地震工程与工程振动,2007,27(2):1-11.
[11]Liang J,Ba Z,Lee VW.Diffraction of plane SVwaves by an underground circular cavity in a saturated poroelastic half-space[J].ISETJournalof Earthquake Technology,2007,44(2):341-375.
[12]丁美.地下圆形衬砌隧洞对柱面SH波的散射解析解[D].天津:天津大学,2004.
[13]Wong HL.Effect of surface topography on the diffraction of P,SV,and Rayleigh waves[J].Bulletin of Seismological Societ of America,1982,72:1167-1183.
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