| 1. | An integral transform solution of rectangular foundation loaded steady vibration on an elastic half space
弹性半空间上矩形基础稳态振动积分变换解 |
| 2. | At first we should construct a suitable green ' s function , which is an essential solution to displacement field for an elastic half space with an arbitrary - shape - canyon impacted by antiplane harmonic line source loading at horizontal surface
首先构造了一个适合解答本文问题的green函数，该函数为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。 |
| 3. | First thing is to use a suitable green " function , which is a essential solution of displacement field for the elastic half space with a half circular lining , which impacted by out - plane harmonic line source loading at horizontal surface
求解该问题的过程中，首先利用一个适合本问题的green函数，该函数为具有半圆环形衬砌的弹性半空间在其水平表面上任意一点承受时间谐和的出平面线源荷载作用时位移场的解答。 |
| 4. | 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。 |
| 5. | 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。 |
| 6. | 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。 |
| 7. | ( 2 ) in order to reflect the character of deformation of soil precisely , the modulating coefficient * ~ is introduced in this paper , so the mutilayered elastic half space model and winkler model are united , then a method to gain ~ which can be applied in practical situation is illuminated
（ 2 ）为更好的反映地基土的实际变形扩散特性，本文引用了修正系数的概念，从而把多层弹性半空间地基模型和文克尔地基模型统一起来，并提出了一种可供工程实用的的确定方法。 |
| 8. | 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。 |
| 9. | Base on the elastic half space theory of the dynamic foundation , analyzing the relationship between the vibration frequency and the dynamic shear modulus of the soil , a relationship between the vibration frequency and the self - property of the subsoil can be carried out . that is the expression about the relationship between the vibration frequency and the density of the soil can be carried out
通过采用动力基础半空间理论，分析锤击产生的地基土的振动频率与地基土的动剪切模量之间的相关关系，就又可以得到地基土自振动频率与土体本身性质之间的关系，即与土体的密实度之间的关系。 |
