A three layered magneto - electro - elastic half - space subjected to vertical mechanical loads , charge or magnetomotive force is analyzed as the numerical example , and the calculative results of two different stacking sequences are compared 以在垂直机械载荷或电载荷或磁感应强度作用下三层半无限压电压磁弹性体为算例，并比较了两种不同材料叠放顺序的计算结果。
In order to calculate synthetic seismograms in a layered half - space with the sources and the receivers at close or same depths , an efficient numerical integration method - the peak - trough averaging method ( ptam ) is proposed , based on the repeated averaging method 摘要为了计算在震源和接收点深度相同或相近情况下分层半空间介质中的合成地震图，在重复平均法的基础上加以改进，提出一种有效的数值积分方法峰谷平均法。
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。
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。
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
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。
Fourthly , the solutions for non - axisymmetical dynamic responding of elastic circular plate ( thin and thick plate ) rested on transversely isotropic saturated half - space / layered ground subjected to arbitrary harmonic loading are presented . under the contact conditions , the problem leads to a pair of dual integral equations which describs the mixed boundary - value problem 首先建立直角坐标系下波动问题的状态方程，经双重fo吐er变换求解状态方程后得到传递矩阵:利用递矩阵给出直角坐标系下层状横观各向同性饱和地基在任意分布简谐荷载作用下稳态动力响应的一般解。
Then we consider the problem as a " conjunction " problem : according to the solutions for wave problem in interface between two conjunctive homogeneous elastic half - spaces as well as the scattering problem of sh - waves by an arbitrary - shape - cavity in homogeneous material , we divide the elastic space with an interface cavity into two parts along the interface , each is elastic half space with an arbitrary - shape - canyon . and then dividing surfaces are loaded with undete rmined antiplane forces , and with some antiplane reacting forces to appear cracks 然后将界面任意形孔洞和孔边裂纹对sh波的散射问题视为“契合”问题：即从两个相互契合的完整弹性半空间的界面波动问题和弹性均匀介质中任意形孔洞对sh波散射的解答出发，沿界面处将含孔洞的弹性空间剖分为两个含有任意形凹陷的弹性半空间，在其剖分表面上加置未知的反平面荷载，在出现裂纹的位置加置反平面反力构造出裂纹。
This paper ' s mostly content is the theories and methods of designing the rigid pavement plates which traversed by moving load and based on elastic half - space foundations the paper also considering the transfer load of joints . joints merely transfer shearing force and merely transfer moment is respectively considered 本论文主要讨论了在移动荷载作用下，弹性半空间体地基上考虑接缝传荷的刚性道面板的动态设计理论和计算方法，在讨论中分别考虑了接缝单一传递剪力和单一传递弯矩时的两种情况。
