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Seismic pressures on rigid cantilever walls retaining linear poroelastic soil: An exact solution

机译:保留线性多孔弹性土壤的刚性悬臂壁上的地震压力:一种精确的解决方案

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摘要

The dynamic response of a water-saturated linear poroelastic soil layer over bedrock retained by a pair of rigid cantilever walls to a horizontal seismic excitation is obtained analytically-numerically under plane strain conditions. Hysteretic damping in the soil skeleton may also be present. The problem is solved in the frequency domain and its exact solution is obtained analytically. This is accomplished with the aid of Fourier series along the horizontal direction and solution of the resulting system of ordinary differential equations to obtain the amplitudes of the soil skeleton displacements and the pore water pressure. Soil displacements and stresses, pore water pressure as well as wall pressures and resultant forces are explicitly presented. Their variation with frequency, hysteretic damping, porosity and permeability is numerically obtained and compared against an approximate solution, to assess the degree of validity of the assumptions. (C) 2015 Elsevier Ltd. All rights reserved.
机译:在平面应变条件下,通过解析数值方法获得了由一对刚性悬臂壁保持的基岩上的水饱和线性多孔弹性土层对水平地震激励的动力响应。土壤骨架中也可能存在滞后阻尼。在频域中解决了该问题,并通过解析获得了其精确解。这是借助于沿水平方向的傅立叶级数和所得的常微分方程组的解来完成的,以获得土壤骨架位移的幅度和孔隙水压力。明确显示了土壤位移和应力,孔隙水压力以及壁面压力和合力。通过数值获得它们随频率,滞后阻尼,孔隙率和渗透率的变化,并将其与近似解进行比较,以评估假设的有效性。 (C)2015 Elsevier Ltd.保留所有权利。

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