A PRECISE INTEGRATION APPROACH FOR THE DYNAMIC-STIFFNESS MATRIX OF STRIP FOOTINGS ON A LAYERED MEDIUM 1）

提出应用精细积分算法计算多层地基的动力刚度问题.精细积分是计算层状介质中波传播的高效而精确的数值方法.利用傅里叶积分变换将层状地基的波动方程转换为频率-波数域内的两点边值问题的常微分方程组,运用精细积分方法求解格林函数,最后再将得到的频率-波数域内地基表面的动力刚度矩阵转换到频率-空间域内,进而得到刚性条带基础频率域的动力柔度或刚度矩阵.所建议的精细积分算法,可以避免一般传递矩阵计算中的指数溢出问题,对各种情况有广泛的适应性,计算稳定,在高频段可以保障收敛性,并能达到较高的计算精度.     

SH波入射时半空间界面裂纹与圆形衬砌的相互作用

利用复变函数和Green函数法研究了双相介质半空间界面裂纹及界面附近圆形衬砌对SH 波的 散射与动应力集中问题。首先,采用映像思想构造满足自由边界条件的散射波表达式,进而求解所需的 Green函数;其次,采用裂纹切割技术构造裂纹,并根据连续性条件建立了求解该问题的无穷代数方程组; 最后,给出了不同入射波数时界面裂纹与衬砌的相互作用。结果表明,裂纹的存在显著放大了衬砌界面的动 应力集中。     

考虑桩体内径向渗流的复合地基固结解

考虑了桩体内径竖向组合渗流和涂抹区土体水平渗透系数的两种变化模式,得到了此类固结问题的控制方程.采用新的初始条件,得到了控制方程的解答,给出了桩周土体和桩体内的平均孔压.在此基础上,把桩体的固结压缩引人对复合地基总平均固结度的定义中,分别给出了复合地基按应力和按应变定义的总平均固结度.结果表明:按应力和按应变定义的复合地基的总平均固结度相等;考虑桩体内径向渗流比不考虑桩体内径向渗流的复合地基固结度要小,而且随着桩间距的增大,两者之间的差值逐渐减小;考虑涂抹区水平渗透系数逐渐变化比假定涂抹区水平渗透系数保持不变的复合地基的总平均固结度大.     

EFFECT OF SURFACE ENERGY ON DISLOCATION-INDUCED FIELD IN HALF-SPACE WITH APPLICATION TO THIN FILM-SUBSTRATE SYSTEMS

In this work the elastic field of an edge dislocation in a half-space with the effect of surface energy has been obtained. The elastic field is then used to study the image force on the dislocation, the critical thickness for dislocation generation in epitaxial thin films with strain mismatch and the yielding strength of thin films on substrates. The results show that the image forces on the dislocation deviate from the conventional solutions when the distance of the dislocation from the free surface is smaller than several times of the characteristic length. Also due to the effect of surface energy, the critical thickness for dislocation generation is smaller than that predicted by the conventional elastic solutions and the extent of the deviation depends on the magnitude of mismatch strain. In contrast, the effect of surface energy on the yielding strength for many practical thin films can be neglected except for some soft ones where the characteristic length is comparable to the thickness.     

室内模型实验中低强度桩侧应变片粘贴技术与应用

表面粗糙的桩与桩间土共同受力后发生相对位移,在低强度桩侧面有效粘贴应变片以测试轴力传递规律是一个难点.在组合群桩复合地基室内模型试验中,本文结合传统内贴法和外贴法两种贴片方式的优点,提出并采用凹槽法在低强度实心模型桩外侧面贴片,即在桩侧预留凹槽、用环氧树脂对贴片部位进行表层处理,在贴片后密封凹槽,并给出了典型测试结果.分析认为:凹槽法贴片技术有效可行,可供室内含桩地基基础模型试验借鉴.     

Nonlinear transverse vibrations of a slightly curved beam carrying a concentrated mass

In this study, a slightly curved Euler Bernoulli beam carrying a concentrated mass was handled. The beam was resting on an elastic foundation and simply supported at both ends. Effects of the concentrated mass on nonlin- ear vibrations were investigated. Sinusoidal and parabolic type functions were used as curvature functions. Equations of motion have cubic nonlinearities because of elongations during vibrations. Damping and harmonic excitation terms were added to the equations of motion. Method of mul- tiple scales, a perturbation technique, was used for solving integro-differential equation analytically. Natural frequen- cies were calculated exactly for different mass ratios, mass locations, curvature functions, and linear elastic foundation coefficients. Amplitude-phase modulation equations were found by considering primary resonance case. Effects of nonlinear terms on natural frequencies were calculated. Frequency-amplitude and frequency-response graphs were plotted. Finally effects of concentrated mass and chosen curvature function on nonlinear vibrations were investigated.     

横观各向同性饱和弹性半空间地基上圆环板的简谐振动

本文基于在L~2[a,b]上的完备正交函数组,通过将板的挠度、荷载、地基反力及板下地基表面的沉降展开为Fourier-Bessel级数,利用解析法对横观各向同性饱和弹性半空间地基上圆环板的简谐振动进行了系统分析.这些级数中的待定系数由板的边界条件、板的控制方程及板.地基的相容条件加以确定,从而将饱和弹性半空间地基与圆环板的动力相互作用问题转化为代数方程组的求解问题.数值计算表明,该级数解答具有较快的收敛速度.     

黄土地基中大直径超长群桩基础受力特性的模型实验研究

通过室内模型试验,对黄土地基中大直径超长群桩基础的承载-沉降关系、承台下土体附加应力的分布及发展、桩土承载情况以及不同位置桩的受力特性分别进行了研究。结果表明:黄土地基中大直径超长群桩基础荷载-沉降曲线呈缓变型且没有明显拐点,故群桩基础的极限承载力应综合沉降-时间对数s-lgt曲线和荷载-沉降Q-s曲线来确定。承台下土体附加应力分布为边缘大中心小。不同位置的桩承载性能不同,总体上是角桩(6#桩)最大,边桩(5#桩)次之,中心桩(1#桩)最小;同时各桩的桩侧摩阻力及桩身轴力沿桩长的变化也有所不同。     

基础动力分析的一种半解析、半数值方法

提出了一种基础动力分析的半解析、半数值计算方法．采用Lamb解及其相应的近似公式,建立了基础动反力和位移的关系式．从而可象静力问题那样将基础板分离出来,将板看作上部作用已知载荷,下部作用用挠度表示的地基反力,因此只需要对板进行有限元分析．采用这种方法分析了不同形状、 不同刚度、不同频率下的地基板的振动问题, 而且可以考虑基础埋深的影响．算例分析表明,提出的方法是一种计算简便、精度较高、适用范围广泛的有效数值方法．     

On simplified solutions of contact problems for elastic foundations

In the paper, a method of averaging displacements in a circular area lying in a linearly elastic transversally isotropic foundation is developed for the four modes of motion: vertical, horizontal, rocking and torsional. The corresponding formulae are constructed in a general form which does not depend on the kind of Green functions. For vertical and horizontal modes, uniform load distribution are applied and the simple integral mean is considered, whereas for rotational modes the load proportional to the distance from an axis of rotation is used, and angles of rotation for individual points are averaged with weight of the distance squared. Along with the case of equal radii of circles of loading and averaging, the case of different radii is studied, which allows one to consider contact problems for embedded axisymmetric foundations having the radius varying with depth. As examples the following contact problems are studied: static stiffness for a cone embedded in a homogeneous isotropic half-space in vertical motion, and dynamic stiffness for a disk on a layer resting on a homogeneous half-space for four modes of motion. Comparisons with the corresponding exact solutions are carried out.