By using the data of the experiment , this dissertation has analysed the relationship between the dynamic parameter and the self - property , then based on the elastic half space theory of the dynamic foundation , this dissertation get the method to measure the density of silt or sand subsoil using instantaneous implusion 本文通过试验获得的数据，分析地基土的动力参数与土体的本身性质之间的关系，并应用动力基础半空间理论，得到了全新的利用瞬态锤击法来测定粉砂土的密实度的方法。
Consequently , on the basis of non - winkler foundation model , a finite - element method that utilizes foundation flexibility matrix into iterative calculation is proposed in this paper originated from the item " the optimal design theory and research of pile capping beam " sponsored by natural science fund of hunan province , which the continuity of soil mass can be accounted for under various boundary conditions , different loadings and irregular beam characters 本文结合湖南省自然科学基金项目“桩基承台梁优化设计理论与方法研究” ，针对非文克尔地基(半空间、线性变形层或单向压缩层地基模型等)上的桩基承台梁，提出一种利用地基柔度矩阵来进行迭代的有限单元法，可充分考虑梁下土体的连续性，并对基础与土体脱开、承台梁截面变化、梁体边界条件复杂、上部荷载类型变化以及梁下基桩承载力差异等情况进行分析计算。
With synthesizing the relevant other internal and external researchers " the achievements of theory and the results of experiment , the follow work have been done in this project : revising the formulas of ground stiffness coefficient and the mass of vibrating soil and the dynamic affecting degree of depth , which apply the theory of elastic half - space and the knowledge of the soil mechanics and consider the influence of the soil characteristic and inertial action , the interaction between foundation and ground , the diverse load ; making the model of ground and foundation system calculating natural frequency by using the big - scale software supersap which is for special purposes of finite element analysis ; according to the experiment analysis , correcting and adjusting the finite element model in order to have it accord with the fact and meet the engineering demands ; doing the vibrating experiment for testing the results of the theoretical analysis and the finite element calculation ; summing up some regulars of the ground stiffness 本文综合参考了国内外其他学者的理论成果和实验结果，进行了如下研究工作：运用弹性半空间理论和土力学的知识，考虑土体特性和惯性作用、基础与地基的相互作用以及不同荷载形式等因素的影响，对动力机器基础进行了严密地理论分析，修正了地基刚度、参振土质量和动力影响深度的计算公式；利用专门用于有限元计算的大型分析软件supersap对地基基础体系进行了建模计算，根据实验分析，对有限元模型不断地进行修正和调整，使其更加符合实际情况，满足要求；通过振动实验对理论分析和有限元计算结果进行了验证；总结出了一些地基刚度的变化规律。
Based on the current research , further development has worked as follows . ( 1 ) the theory bf mutilayered elastic half space is applied to the interaction analysis of mat and pile ? at foundation of tall building firstly in this paper , which provide a reasonable method for interaction analysis of foundation on layer soil 在前人工作的基础上本文进一步作了以下工作： （ 1 ）把多层弹性半空间理论应用于片筏和桩筏基础的共同作用分析中，使得层状地基上片筏和桩筏基础的计算更为合理。
By far , two hypotheses on foundation model has been widely adopted : one is winkler foundation model ( k foundation model ) that foundation response modulus k is used to characterize foundation rigid ; the other is elastic half - space foundation model ( e foundation model ) that elastic modulus e0 and poisson ratio 0 are used to characterize foundation rigid . in the present paper , e foundation model is adopted to simulate half - space elastic foundation body 目前广泛使用地基假设有两种，其一是以地基反应模量k表征地基刚度的文克勒( winkler )地基假定(简称为k地基) ；其二是以弹性模量e _ 0和泊松比_ 0表征地基刚度的弹性半空间地基假定(简称为e地基) ，本文采用e地基。
Impervious wall is thin and deep , so it cannot satisfy the hypothesis of half space . the surface wave theory of impervious wall is analyzed and proves that surface wave speed in impermeable wall is nearly equal with that in plane - strain problem , so the transverse w ave speed getting by rayleigh surface wave exploration technique can satisfy the precision desire of engineering 我们对面波在防渗墙中传播原理进行了分析，证明防渗墙中的面波波速与半空间理论中面波波速差别很小，因此，用瞬态面波检测技术来获得剪切波速可以满足工程精度的要求。
In the dissertation , a systematic study on the 3 - d dynamic responding of transversely isotropic saturated half - space / layered saturated strata produced by harmonic loading and seismic loading and dynamic interaction of saturated soils - foundation ( circular plate ) based on biot ' s theory for fluid - saturated porous media and the model of elastic half - space 本文基于biot两相介质波动理论，采用横观各向同性饱和半空间及横观各向同性饱和有限层地基模型，对饱和地基的三维动力响应及横观各向同性饱和地基?基础(板)的动力相互作用进行了系统研究。
Abstract : the secular equations of rayleigh waves in a poroelastic half - space soil are developed by analyzing dynamic equation and continuous equation of poroelastic soil . ravleigh surface wave dispersion characteristics and its displacement as well as liquid pressure distributions in saturated half - space soil are discussed 文摘:通过对饱和土中波的运动方程及连续方程分析，推导了饱和土中瑞利波特征方程，讨论了半空间饱和土中瑞利波波速度的弥散特性，以及位移和孔压分布情况
The works in detail are as follows : 1 . base on the essential solution for a complete elastic half space impacted by antiplane line source loading at horizontal surface , the essential solution of displacement field for an elastic half space with an arbitrary - shape - canyon impacted by antiplane harmonic line source loading at horizontal surface is constructed by using the method of complex function and conformal mapping 从完整的弹性半空间表面承受线源荷载作用问题的基本解出发，用复变函数的保角映射方法获得含有任意形凹陷的弹性半空间在其水平面上任意一点承受时间谐和的反平面线源荷载作用时位移场的解答，即本文的green函数。
Furthermore , the dual integral equations can be reduced to the fredholm integral equations of the second kind and solved by numerical procedure . at the end of this chapter , the numerical analysis for dynamic interaction characters of saturated half - space / layered ground and circular plate is evaluated . finally , the solutions for 3 - d dynamic responding of elastic rect 基于横观各向同性饱和半空间/有限层地基非轴对称波动方程的通解，按混合边值问题建立饱和地基与弹性圆板非轴对称动力相互作用的积分方程，求解积分方程后得到横观各向同性饱和地基上圆板非轴对称动力响应的一般解，并分析了饱和地基上圆薄板和中厚板振动的若干特征。
