3D scattering of obliquely incident SH waves by a cylindrical cavity in layered elastic half-space (Ⅰ): Methodology and verification
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摘要: 利用间接边界元法, 求解了弹性层状半空间中无限长洞室对斜入射平面SH波的三维散射问题. 通过与文献结果进行对比, 验证了本方法的正确性. 与工程中常用的二维模型比较表明, 工程中将三维散射问题简单地分解为平面内问题和平面外问题的做法存在较大误差. 文中并研究了斜入射角度对散射的影响, 表明斜入射角度对地表位移幅值有着重要影响.Abstract: 3D scattering of obliquely incident plane SH waves by a cylindrical cavity in a layered half-space is studied using indirect boundary element method. The validity of the approach is verified by comparison with other papers on this subject. Comparison with models used in engineering shows that the 3D scattering problem cannot be simply decomposed into in-plane and out-of-plane 2D problems, and the simple handling may bring about large errors. The effect of obliquely incident angle on the scattering is also studied, and the result shows that obliquely incident angle has a significant effect on 3D scattering.
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梁建文, 巴振宁. 2007a. 三维层状场地的精确动力刚度矩阵及格林函数［J］. 地震工程与工程振动, 27(5): 7——17.
梁建文, 巴振宁. 2007b. 三维层状半空间中斜面均布荷载动力格林函数［J］. 地震工程与工程振动, 27(5): 18——26.
梁建文, 陈健琦, 巴振宁. 2013. 弹性层状半空间中无限长洞室对斜入射平面SH波的三维散射（Ⅱ）: 数值结果与分析［J］. 地震学报, 35（待发表）.
De Barros F C P, Luco J E. 1993. Diffraction of obliquely incident waves by a cylindrical cavity embedded in a layered viscoelastic half——space［J］. Soil Dyn Earthq Eng, 12(3): 159——171.
Kobayashi S, Nishimura N. 1983. Analysis of dynamic soilstructure interactions by boundary integral equation method［M］//Lascaux P ed. Numerical Methods in Engineering. Paris: Pluraris: 353——362.
Lee V W, Trifunac M D. 1979. Response of tunnels to incident SH——waves［J］. J Eng Mech——ASCE, 105(4): 643——659.
Luco J E, De Barros F C P. 1994. Dynamic displacements and stresses in the vicinity of a cylindrical cavity embedded in a half——space［J］. Earthq Eng Struct Dyn, 23(3): 321——340.
Manolis G D, Beskos D E. 1988. Boundary Element Methods in Elastodynamics［M］. London: Unwin Hyman: 98——110.
Stamos A A, Beskos D E. 1996. 3——D seismic response analysis of long lined tunnels in halfspace［J］. Soil Dyn Earthq Eng, 15(2): 111——118.
梁建文, 巴振宁. 2007a. 三维层状场地的精确动力刚度矩阵及格林函数［J］. 地震工程与工程振动, 27(5): 7——17.
梁建文, 巴振宁. 2007b. 三维层状半空间中斜面均布荷载动力格林函数［J］. 地震工程与工程振动, 27(5): 18——26.
梁建文, 陈健琦, 巴振宁. 2013. 弹性层状半空间中无限长洞室对斜入射平面SH波的三维散射（Ⅱ）: 数值结果与分析［J］. 地震学报, 35（待发表）.
De Barros F C P, Luco J E. 1993. Diffraction of obliquely incident waves by a cylindrical cavity embedded in a layered viscoelastic half——space［J］. Soil Dyn Earthq Eng, 12(3): 159——171.
Kobayashi S, Nishimura N. 1983. Analysis of dynamic soilstructure interactions by boundary integral equation method［M］//Lascaux P ed. Numerical Methods in Engineering. Paris: Pluraris: 353——362.
Lee V W, Trifunac M D. 1979. Response of tunnels to incident SH——waves［J］. J Eng Mech——ASCE, 105(4): 643——659.
Luco J E, De Barros F C P. 1994. Dynamic displacements and stresses in the vicinity of a cylindrical cavity embedded in a half——space［J］. Earthq Eng Struct Dyn, 23(3): 321——340.
Manolis G D, Beskos D E. 1988. Boundary Element Methods in Elastodynamics［M］. London: Unwin Hyman: 98——110.
Stamos A A, Beskos D E. 1996. 3——D seismic response analysis of long lined tunnels in halfspace［J］. Soil Dyn Earthq Eng, 15(2): 111——118.
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