scattering and refracting of plane strain wave by a cylindrical inclusion in fluidsaturated soils

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Vertical dynamic response of a rigid foundation embedded in a poroelastic soil layer

A simplified analytical method is presented for the vertical dynamic analysis of a rigid, massive, cylindrical foundation embedded in a poroelastic soil layer. The foundation is subjected to a time‐harmonic vertical loading and is perfectly bonded to the surrounding soil in the vertical direction. The soil underlying the foundation base is represented by a single‐layered poroelastic soil based on rigid bedrock while the soil at the side of the foundation is modeled as an independent poroelastic layer composed of a series of infinitesimally thin layers. The behavior of the soil is governed by Biot's poroelastodynamic theory and its governing equations are solved by the use of Hankel integral transform. The contact surface between the foundation base and the soil is smooth and fully permeable. The dynamic interaction problem is solved following standard numerical procedures. The accuracy of the present solution is verified by comparisons with the well‐known solutions obtained from other approaches for both the elastodynamic interaction problem and poroelastodynamic interaction problem. Numerical results for the vertical dynamic impedance and response factor of the foundation are presented to demonstrate the influence of nondimensional frequency of excitation, soil layer thickness, poroelastic material parameters, depth ratio and mass ratio on the dynamic response of a rigid foundation embedded in a poroelastic soil layer. Copyright © 2008 John Wiley & Sons, Ltd.     

弧形防波堤波浪力试验研究

在圆筒形防波堤和V形防波堤的基础上,结合离岸堤后形成V形和半圆形连续出现的韵律海岸的地貌平面形态特点,提出一种前墙为连续的半圆筒形防波堤形式。通过在波浪水槽内进行规则波物理模型试验,探究这一新型防波堤的波压力分布规律及波高、周期、水深等因素对波压力的影响。将试验结果与海港水文公式和合田良实公式计算的理论值对比分析,给出了以合田良实公式的折减系数来拟合新型弧形防波堤波浪总水平力的计算公式。结果表明:新型弧形防波堤上的波压力随波高、周期的增大而增大,其水平波浪总力比同等尺度直墙少10%左右。     

Scattering of elastic wave by a partially sealed cylindrical shell embedded in poroelastic medium

Scattering of an elastic wave by a cylindrical shell embedded in poroelastic medium is investigated theoretically with the assumption that the shell material is also a porous elastic medium. The porous medium is modellized via Biot's theory and the scattering by cylindrical shell is expressed by the definition of scattering matrix. The normal mode expansion technique is employed for analysing the scattering field, and the asymptotic solutions of displacements, stresses and pore pressure are derived. Two limiting cases‐scattering by a poroelastic cylinder in Biot medium and a elastic cylindrical shell in elastic medium are obtained from the general solutions. The dispersion curves of displacement amplitude at the interface of shell and medium is compared with the case of elastic shell. The scattering amplitude associated with the fast, slow and transverse waves are identified by numerical simulation. Furthermore, the influence of the poroelastic property of shell material on scattering amplitude is analysed. Copyright © 2005 John Wiley & Sons, Ltd.     

垃圾土中排水柱孔扩张问题弹塑性解

随着城市规模扩大,一些垃圾场地被再次利用进行工程建设。垃圾土具有高压缩性、可降解性,其纤维成分具有一定的加筋作用,这些特性给垃圾场地中静力触探、沉桩、旁压试验等工程的开展带来新的挑战。为此,基于考虑纤维加筋作用的垃圾土本构模型和大变形理论,通过引入中间变量,将孔扩张问题转化为求解一组给定边界条件的常微分方程组,继而给出垃圾土中排水柱孔扩张问题的弹塑性理论解。通过将退化解与既有基于修正剑桥模型的柱孔扩张解答对比验证了结果的可靠性。在此基础上,系统分析了超固结比和纤维含量对柱孔扩张过程中孔周应力分布和应力路径的影响。结果表明：与黏性土相比,垃圾土具有更大的塑性区半径;随着超固结比和纤维含量的增加,孔壁处极限压力和塑性区半径分别呈增加和减小趋势,不同纤维含量的垃圾土经历塑性阶段后,均达到泥状物成分的临界状态线附近。     

极地海区等距离正圆柱投影平面上等角航线的展绘方法

墨卡托投影由于其纬度渐长的特性导致在极地海区投影存在严重的长度变形,无法在南北纬80°以外高纬度海区航海图中较好地应用。将长度变形程度明显低于墨卡托投影的等距离正圆柱投影作为极地海区的海图投影,研究了该投影平面中等角航线在极地海区的展绘方法。建立了等距离正圆柱投影平面上等角航线方程并对其曲率进行了分析,推导了绘制一般曲线形态的"以直代曲"公式;最后提出了一种可满足给定精度要求的等角航线展绘算法。实验结果表明:该算法简单易行,可在海图编绘规范规定的误差范围内,实现等角航线的精确展绘。     

降雨年际气候变化的非线性动力统计模拟预测

文中应用非线性动力统计方法来模拟降水年际气候变化。经过对中国４２ 个测点近百年降雨变化的模拟预测检验,取得了较好的效果,并得出了一些有意义的结论。关键词：非线性,动力统计,模拟预测。     

地震作用下单层柱面网壳的动力稳定性能分析

以单层柱面网壳结构为研究对象,利用El-centro地震波对该类结构进行了时程地震反应分析,考察了结构的地震响应和抗震性能,研究了其在地震作用下的动力失稳特点。选取了几种几何尺寸不同的单层柱面网壳,分析了矢跨比和长跨比对单层柱面网壳动力稳定性能的影响。     

圆柱形支撑大跨度建筑结构强震冲击分析模型仿真

圆柱形支撑大跨度建筑稳定性较差,不能在强震冲击下保持稳定的结构状态。为解决此问题,设计圆柱形支撑大跨度建筑结构强震下冲击分析仿真模型,通过圆柱分析法则的确定、有限元支撑模拟分析与监测、圆柱形支撑体系承载能力分析以完成模型的仿真分析与监测。基于此对大跨度建筑结构强震冲击进行静力分析,调整强震冲击下模型的结构,完成模型的搭建。模拟强震冲击环境,设计对比实验结果表明,应用圆柱形支撑大跨度建筑结构强震下冲击分析仿真模型,可明确圆柱形支撑大跨度建筑薄弱点,发现稳定性较差建筑结构单元,达到提升圆柱形支撑大跨度建筑在强震冲击下稳定性的目的。     

Analytic wave series solution of out-of-plane(SH) waves diffraction by an almost semi-circular shallow cylindrical hill

A closed-form wave equation analytic solution of two-dimensional scattering and diffraction of outof-plane(SH) waves by an almost semi-circular shallow cylindrical hill on a flat, elastic and homogeneous half space is proposed by applying the discrete Fourier series expansions of sine and cosine functions. The semi-circular hill problem is discussed as a special case for the new formulated equation.Compared with the previous semi-circular cases solutions, the present method can give surface displacement amplitudes which agrees well with previous results. Although the proposed equation can only solve the problem of SH-waves diffracted by almost semi-circular shallow hills, the stress and displacement residual amplitudes are numerical insignificantly everywhere. Moreover, the influences of the depth-towidth ratio(a parameter defined in this paper to evaluate the shallowness of the topography of hills) on ground motions are presented and summarized. The limitations and errors of truncation from Graf's addition theorem and Fourier series equations in the present paper are also discussed.