3-D seismic response analysis of long lined tunnels in half-space

3-D seismic response analysis of long lined tunnels in half-space
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DOI:
10.1016/0267-7261(95)00025-9
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发表时间:
1996-02
影响因子:
4
通讯作者:
A. Stamos;D. Beskos
A. Stamos;D. Beskos
中科院分区:
工程技术2区
文献类型:
--
作者:
A. Stamos;D. Beskos

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埋藏在弹性或粘弹性半空间中的具有均匀横截面的无限长隧道对体和地表谐波地震波的动力响应是通过频域中的特殊直接边界元方法数值确定的。波相对于隧道轴线具有任意传播方向,这使得问题成为三维的。然而,通过坐标变换和沿隧道轴线方向对全空间动力基本解的适当积分,该问题有效地简化为二维问题。用于处理奇异积分的二次等参边界线元素和先进的数值积分技术可产生高精度的结果。给出了无限长圆形横截面隧道的数值结果,并与全三维边界元分析以及其他方法的结果进行了比较。因此,说明了所提出的方法并证明了其优点。
The dynamic response of infinitely long lined tunnels with a uniform cross-section buried into an elastic or viscoelastic half-space to body and surface harmonic seismic waves is numerically determined by a special direct boundary element method in the frequency domain. The waves have an arbitrary direction of propagation with respect to the axis of the tunnel and this renders the problem three-dimensional. However, this problem is effectively reduced to a two-dimensional one by a coordinate transformation and appropriate integration of the full-space dynamic fundamental solution along the direction of the tunnel axis. Quadratic isoparametric boundary line elements and advanced numerical integration techniques for the treatment of singular integrals produce results of high accuracy. Numerical results are presented for the case of an infinitely long lined tunnel of circular cross-section and compared against those of a full three-dimensional boundary element analysis, as well as those of other methods. Thus the proposed method is illustrated and its merits demonstrated.