横观各向同性孔弹性土刚性墙地震响应的近似解析/数值解

IF 5.7 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
Qingyuan Gong , Edmond V. Muho , Niki D. Beskou , Ying Zhou
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引用次数: 0

摘要

给出了基岩上横观各向同性孔弹性土层的两刚性悬臂墙在平面应变和时谐地震动条件下的地震响应问题的三个近似解析解。这些近似解是对问题的各种响应量进行各种合理简化的结果,从而降低了运动控制方程的复杂性。在所有情况下的解决方法与获得问题的精确解的方法相同,即在频域中沿水平方向以正弦和余弦傅立叶级数的形式展开响应量,并结合边界条件求解关于垂直坐标的常微分方程组。第一个近似解是在忽略与流体加速度有关的运动方程的所有项的假设下得到的。第二个近似解是在流体位移等于相应的固体位移的假设下得到的。第三近似解是整个区域的第二次近似解加上自由土边界层内的修正的和。将所有三种近似解的精度与精确解进行比较,并得出有关孔隙度、渗透率和各向异性指数等各种参数的近似范围的有用结论,以使近似误差最小化。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Approximate analytical/numerical solutions for the seismic response of rigid walls retaining a transversely isotropic poroelastic soil
Three approximate analytical solutions for the problem of the seismic response of two rigid cantilever walls retaining a transversely isotropic poroelastic soil layer over bedrock are presented under conditions of plane strain and time harmonic ground motion. These approximate solutions come as a result of various reasonable simplifications concerning various response quantities of the problem, which reduce the complexity of the governing equations of motion. The method of solution in all the cases is the same with that used for obtaining the exact solution of the problem, i.e., expansion of response quantities in the frequency domain in terms of sine and cosine Fourier series along the horizontal direction and solution of the resulting system of ordinary differential equations with respect to the vertical coordinate in conjunction with the boundary conditions. The first approximate solution is obtained on the assumption of neglecting all the terms of the equations of motion associated with the fluid acceleration. The second approximate solution is obtained on the assumption that the fluid displacements are equal to the corresponding solid displacements. The third approximate solution is obtained as the sum of the second approximate solution for the whole domain plus a correction inside a boundary layer at the free soil. All three approximate solutions are compared with respect to their accuracy against the exact solution and useful conclusions pertaining the approximate range of the various parameters, like porosity, permeability and anisotropy indices, for minimization of the approximation error are drawn.
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来源期刊
Advances in Engineering Software
Advances in Engineering Software 工程技术-计算机:跨学科应用
CiteScore
7.70
自引率
4.20%
发文量
169
审稿时长
37 days
期刊介绍: The objective of this journal is to communicate recent and projected advances in computer-based engineering techniques. The fields covered include mechanical, aerospace, civil and environmental engineering, with an emphasis on research and development leading to practical problem-solving. The scope of the journal includes: • Innovative computational strategies and numerical algorithms for large-scale engineering problems • Analysis and simulation techniques and systems • Model and mesh generation • Control of the accuracy, stability and efficiency of computational process • Exploitation of new computing environments (eg distributed hetergeneous and collaborative computing) • Advanced visualization techniques, virtual environments and prototyping • Applications of AI, knowledge-based systems, computational intelligence, including fuzzy logic, neural networks and evolutionary computations • Application of object-oriented technology to engineering problems • Intelligent human computer interfaces • Design automation, multidisciplinary design and optimization • CAD, CAE and integrated process and product development systems • Quality and reliability.
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