柱面SH波在地下圆形衬砌洞室周围散射解析解
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摘要
采用波函数展开法给出了半空间中柱面SH波在圆形衬砌洞室周围散射的解析解,并对解答的精度进行了分析。通过数值算例分析了入射频率、波源与洞室的距离、洞室埋深、衬砌刚度等对洞室衬砌动应力集中因子的影响。研究表明,柱面波在地下衬砌洞室周围的散射与平面波情况有着显著的差别,衬砌动应力集中因子和波源与洞室的距离密切相关;柱面波在全空间衬砌洞室周围的散射与半空间情况有着显著的差别,半空间地表对动应力集中因子有着重要影响。
An analytical solution to the cylindrical SH wave diffraction around circular lined cavity is presented using wave function expansion method,and the precision of the solution is verified.Effects of the incident frequency,the distance between the wave source and the cavity,the buried depth of the cavity,and the lined stiffness on DSCF(dynamic stress concentration factor) are discussed by numerical results.It is shown that,there is distinct difference between the cylindrical wave diffraction and the plane wave diffraction around lined cavity and the DSCF is significantly dependent on the distance between the wave source and the cavity;there is a notable difference between cylindrical wave diffraction around lined cavity in half-space and that in whole-space,and the DSCF is closely related to the surface of half-space.
引文
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