共查询到18条相似文献，搜索用时 93 毫秒
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曲线坐标在弹性波散射研究中的应用──SH波对不等深度凹陷地形的散射 总被引：1，自引：0，他引：1
本文利用曲线坐标的分析方法研究ＳＨ波对凹陷地形散射的边值问题。首先给出了在曲线坐标系中波动方程解的逼近函数序列，并使此解满足由曲线坐标所描述的具有不同深度的凹陷地形上的边界条件，最后将待解的问题归结为对一组无穷代数方程组的求解．本文提供的方法有如下的特点：（１）可将通常求解凹陷地形对ＳＨ波散射的波动方程的混合边值问题（指在不同边界区域上给出不同的应力分量的边界条件）化为一应力边值问题；（２）本文所使用的曲线坐标，可描述具有不同深度与宽度比的拟半圆形凹陷地形散射问题，并给出一般解；（３）本文方法可推广用于求解Ｐ（－ＳＶ）波对凹陷地形的散射问题。作为算例，本文给出了ＳＨ波对具有不同深度与宽度比的凹陷地形散射的数值结果，并进行了分析比较。 相似文献
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曲线坐标在弹性波散射研究中的应用——SH波对不等深度凹陷地… 总被引：2，自引：0，他引：2
本文利用曲线坐标的分析方法研究ＳＨ波对凹陷地形散射的边值问题，首先给出了曲线坐标系中波动方程解的逼近函数序列，并使此解满足由曲线坐标所描述的具有不同深度的凹陷地形上边界条件，最后将待解问题归结为一组无穷代数方程组的求解，本文提供的方法有如下的特点：（１）可将通常求解凹陷地形对ＳＨ波散射的波动方程的混合边值问题（指在不同边界区域上给出不同的应力分量的边界条件）化为一应力边值问题，（２）本文所使用的曲 相似文献
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Rayleigh波在浅圆凹陷地形附近的散射:高频解答 总被引：4，自引：1，他引：4
利用波函数展开法给出了Rayleigh波在浅圆凹陷地形附近散射的一个高频解析解，并分析了入射频率、凹陷地形宽度和深度等因素对波散射的影响。数值结果表明，由于Rayleigh波幅值随深度而衰减，凹陷地形表面位移幅值整体上较小，且随着凹陷地形深度的增加而减小；由于Rayleigh波幅值还随频率而衰减，随着入射频率的升高，凹陷地形表面位移幅值逐渐减小；由于凹陷地形的屏障作用，在人射波的近端，地表位移分布变得相对复杂，地表位移峰值出现在左角点附近，而在入射波远端，地表位移分布相对简单，地表位移峰值出现在距凹陷地形较远的地方。 相似文献
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SH波入射时半圆形凸起与凹陷地形的地震动 总被引：2，自引：0，他引：2
研究了弹性半空间中半圆形凸起与凹陷相连地形对SH波的散射问题。将整个求解区域分割为2部分,在其中分别构造满足边界条件的位移解,通过移动坐标使之满足“公共边界”以及半圆形凹陷表面上的边界条件,从而建立起求解该问题的无穷代数方程组。最后,给出了地表位移幅值的数值结果以及凸起地形顶点和凹陷地形最低点处位移幅值的反应谱并进行了讨论。 相似文献
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Surface deformation and gravity changes caused by dilatancy in a layered elastic-vis-coelastic half space 总被引：1，自引：0，他引：1
Ｓｕｒｆａｃｅｄｅｆｏｒｍａｔｉｏｎａｎｄｇｒａｖｉｔｙｃｈａｎｇｅｓｃａｕｓｅｄｂｙｄｉｌａｔａｎｃｙｉｎａｌａｙｅｒｅｄｅｌａｓｔｉｃ┐ｖｉｓ┐ｃｏｅｌａｓｔｉｃｈａｌｆｓｐａｃｅＹＯＮＧＷＡＮＧ（王勇）ＨＯＵＴＳＥＨＳＵ（许厚泽）Ｉｎｓｔｉｔ... 相似文献
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郝纪川 《地震学报(英文版)》1996,(4)
ＴｈｅＳｉｘｔｈＳｙｍｐｏｓｉｕｍｏｆｔｈｅＳｅｉｓｍｏｌｏｇｉｃａｌＳｏ┐ｃｉｅｔｙｏｆＣｈｉｎａｈｅｌｄａｔＺｈａｎｇｊｉａｊｉｅ，ＨｕｎａｎＰｒｏｖｉｎｃｅ，ＣｈｉｎａＪＩ－ＣＨＵＡＮＨＡＯ（郝纪川）ＩｎｓｔｉｔｕｔｅｏｆＧｅｏｐｈｙｓｉｃｓ，... 相似文献
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ＤｅｆｏｒｍａｔｉｏｎｄａｔｕｍｉｎｓｏｕｒｃｅｍｅｃｈａｎｉｓｍｉｎｖｅｒｓｉｏｎＳＨＯＵ－ＷＥＮＧＯＮＧ（巩守文，ＱＩＮＧ－ＬＩＡＮＧＷＡＮＧ（王庆良），ＹＩ－ＱＩＮＧＺＨＵ（祝意青）ａｎｄＢＩＮＧＣＨＥＮ（陈兵）（ＳｅｃｏｎｄＣｒｕｓｔａｌＤｅ... 相似文献
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Based on Biot's wave equation, dynamic response of a circular tunnel with partially sealed liner in viscoelastic saturated soil is investigated. By introducing two scalar potential functions, the analytical solutions of stresses, displacements and pore pressure induced by axisymmetric gradually applied step load are derived in Laplace transform domain. Numerical results are obtained by inverting Laplace transform presented by Durbin and used to analyze the influences of partial permeable property of boundary and viscoelastic damping coefficient of soil on dynamic response of the tunnel. It is shown that the attenuation of radial displacement appeared with the increase of viscoelastic damping coefficient of soil, and relative rigidity of liner and soil, and the influence of partial sealing property of boundary on stresses, displacements and pore pressure is remarkable. The available solutions of permeable and impermeable boundary conditions are only two extreme cases of this paper. 相似文献
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Muktimoy Ghosh 《Pure and Applied Geophysics》1980,119(1):102-117
Summary In this paper the problem of disturbance in an elastic semi-infinite medium due to the torsional motion of a circular ring source on the free surface of a medium are studied. Two cases, when the medium is either homogeneous or inhomogeneous, are treated. In order to solve the problem, the Laplace transform and the Hankel transform and the Laplace inversion by Cagniard's method as modified byDe Hoop (1959) are applied. Finally, the integrals for displacement are evaluated numerically. The displacement on the free surface as a function of time is shown by means of graphs, in the case of both a homogeneous and an inhomogeneous medium, indicating clearly the variation in displacement due to the presence of an inhomogeneity. 相似文献
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基于数值模拟方法系统研究脉冲与正弦SH波及P波垂直入射半圆弧凹陷场地时的地表位移响应,并与相应解析解进行了对比分析。P波入射时,半圆弧凹陷场地由于P波与反射SV波的干涉产生Rayleigh波,会对场地自由表面的稳态位移响应幅值产生较大影响。凹陷内部的归一化Z向位移幅值相比没有考虑Rayleigh波生成时有较大的不同,其在凹陷边缘处没有什么变化,而在凹陷向两侧延伸的方向,会有压缩作用;归一化X向位移幅值在凹陷内部无太大变化,在凹陷向两侧延伸的方向,会有波动状的归一化X向位移幅值。 相似文献
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G-S变换的快速算法 总被引：18，自引：8，他引：10
在电磁场瞬变响应的数值计算中 ,常采用G S变换法作逆拉氏变换 .它是纯实数运算 ,而且只需对较少的拉氏变换变量s值作计算 （通常对每一采样时间选用 1 2个s值 ） ,因而是一种计算速度较快的算法 .但是 ,要对大量采样时间作计算 ,其计算量仍太大 .本文基于拉氏变换的延迟定理 ,建立了一种新的G S变换算法 .数值检验结果表明 ,新算法可成级次地减少对大量采样时间作G S变换的计算量 ,显著提高电磁场瞬变响应的计算速度 . 相似文献
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基于平面应变简化假定的桩扭转振动理论精度研究 总被引：3，自引：1，他引：2
利用拉普拉斯变换对考虑桩土耦合扭转振动条件下,桩顶受到任意激振扭矩作用的端承桩桩顶频域及时域响应进行解析求解,推导求得了桩顶位移、速度频域响应,桩顶复阻抗的解析表达式和半正弦脉冲激励作用下的桩顶时域响应半解析解;将本文所得理论解与基于平面应变假定的桩基扭转耦合振动的频域解和时域解进行了全面对比研究,具体比较范围涉及土层对桩的局部复阻抗、桩顶复频响应、速度导纳、桩顶复刚度和桩顶时域响应等方面,并得到若干重要结论。研究成果校核了平面应变假定在桩基扭转振动理论研究中的合理运用,为进一步了解桩土耦合振动的内在机理提供理论支持。 相似文献
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The one-dimensional dynamic column and borehole problems of soil mechanics formulated on the basis of the poroelastic theory of Vardoulakis and Beskos are solved analytically-numerically. The quasi-static counterparts of these problems are analysed as special cases of the dynamic ones. Use of Laplace transform with respect to time reduces the column and borehole problems to ordinary differential equations with constant and variable coefficients, respectively. The transformed solution of these problems is obtained analytically for the column and by finite differences for the borehole problem, and after, a numerical Laplace transform inversion produces the time domain response. Both a suddenly applied and a harmonically varying with time load are considered. It is concluded that the significance of inertial effects depends on the kind of loading and that the degree of saturation for the nearly saturated case greatly affects the response. 相似文献
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The dynamic response of a double infinite beam system connected by a viscoelastic foundation under the harmonic line load is studied. The double infinite beam system consists of two identical and parallel beams, and the two beams are infinite elastic homogeneous and isotropic. A viscoelastic layer connects the two beams continuously. To decouple the two coupled equations governing the response of the double infinite beam system, a variable substitution method is introduced. The frequency domain solutions of the decoupled equations are obtained by using Fourier transforms as well as Laplace transforms successively. The time domain solution in the generalized integral form are then obtained by employing the corresponding inverse transforms, i.e. Fourier transform and inverse Laplace transform. The solution is verified by numerical examples, and the effects of parameters on the response are also investigated. 相似文献
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In most previous studies on the dynamic response of a long cylindrical cavity subjected to internal transient dynamic loads, the porous medium was usually assumed to be completely saturated by ground water. In practice, however, the full saturation condition does not always exist. In this paper the surrounding soil and the lining of the cavity are respectively treated as a nearly saturated porous medium and an elastic material, and the governing equations for the dynamic problem are derived. A set of exact solutions are obtained in the Laplace transform domain for three types of transient loads, i.e. suddenly applied constant load, gradually applied step load and triangular pulse load. By utilizing a reliable numerical method of inverse Laplace transforms, the time-domain solutions are then presented. The influence of the degree of saturation of the surrounding soil on the dynamic response of the lined cavity is examined for numerical examples. 相似文献