Solutions of Green's function for Lamb's problem of a two-phase saturated medium

The solutions of Green’s function are significant for simplification of problem on a two-phase saturated medium.Using transformation of axisymmetric cylindrical coordinate and Sommerfeld’s integral,superposition of the influence field on a free surface,authors obtained the solutions of a two-phase saturated medium subjected to a concentrated force on the semi-space.

GREEN FUNCTION ON TWO-PHASE SATURATED MEDIUM BY CONCENTRATED FORCE IN TWO-DIMENSIONAL DISPLACEMENT FIELD

The Green function on two-phase saturated medium by concentrated force has a broad and important use In seismology, seismic engineering, soil mechanics, geophysics, dynamic foundation theory and so on. According to the Green function on two-phase saturated medium by concentrated force in three-dimentional displacement field obtained by Ding Bo-yang et al., it gives out the Green function in two-dimensional displacement field by infinite integral method along x(3)-direction derived by De Hoop and Manolis. The method adopted in the thesis is simpler. The result will be simplified to the boundary element method of dynamic problem.

Study on the Adaptability of Roof Greening Plants to Medium Transferred from Wastes

[Objective] To study the adaptability of roof greening plants to medium transferred from waste.[Method] By applying the orthogonal test of 4 factors and 3 levels,4 kinds of industrial and agricultural waste(fly ash,slag,straw and waste of garden plants) are used to study the adaptability of 8 species of Sedum.[Result] The proper volume ratio of fly ash,slag,straw and waste of garden plants for making suitable medium were 1:1:1:1,1:2:2:2 and 2:1:2:1.Among the 8 test species,Sedum lineare,Sedum sarmentosum Bunge,Sedum hybridum Immergrunchett,Sedum aizoon and Sedum spectable Boreau are of higher adaptability to the medium transferred from waste.[Conclusion] The application of waste-transferred medium enjoys a promising marketing future in roof greening.

Solution of a Green's function for a saturated porous medium in a half-space subjected to a torsional force

Based on the solutions of the Green＇s function for a saturated porous medium obtained by the authors, and using transformation of axisymmetric coordinates, Sommerfeld integrals and superposition of the influence field on a free surface, the authors have obtained displacement solutions of a saturated porous medium subjected to a torsional force in a half-space. The relationship curves of the displacement solutions and various parameters （permeability, frequency, etc.） under action of a unit of torque are also given in this paper. The results are consistent with previous Reissner＇s solutions, where a two-phase medium decays to a single-phase medium. The solution is useful in solving relevant dynamic problems of a two- phase saturated medium in engineering.

Flow-injection spectrophotometric determination of vanadium with malachite green oxalate by bromate in acidic and micellar medium

A flow injection method is proposed for determining vanadium（V）. The method is based on its catalytic effect on the oxidation of malachite green oxalate by bromate. The reaction was monitored spectrophotometrically by measuring malachite green oxalate absorbance at λmax = 625 nm. The reagents and manifold variables, which have influences on the sensitivity, were investigated and the optimum conditions were established. The optimized conditions made it possible to determine vanadium in the ranges of 10-140 ng/mL with a detection limit of 5.2 ng/mL and a sample rate of 20 ± 5 samples/h.

集中力作用下的两相饱和介质位移场Green函数

以复模两相饱和介质Ｂｉｏｔ动力学方程为基础，根据该方程Ｄ’Ａｌｅｍｂｅｒｔ解的Ｆｏｕｒｉｅｒ变换所属的Ｈｏｍｈｏｌｔｚ方程特性，由Ｂｉｏｔ方程解的相容性条件及δ函数性质较好地解决了快、慢纵波位势的耦合问题，较为简便地得到了两相饱和介质在集中力作用下低频（ω＜ωｃ）时的频域和时域的Ｇｒｅｅｎ函数．

集中力作用下两相饱和介质二维位移场Green函数

由于工程场地的对称性,集中力作用下的位移场Green函数在土力学、地震工程学和动力基础方面的应用需以二维模型出现· 在理论推导上Green函数的二维模型要比三维模型复杂· 根据丁伯阳等人已得到的三维位移场中集中力作用下两相饱和介质位移场Green函数,采用DeHoop与Manolis给出的沿x3方向在无穷域积分方法,得到了集中力作用下两相饱和介质二维位移场Green函数· 相比已有的工作,所得结果不仅简单。

饱和多孔介质中Lamb问题的Green函数解答

利用作者根据饱和多孔介质动力学方程快、慢纵波解耦求得的集中力作用下饱和多孔介质Green函数解答,通过柱坐标变换,运用Sommerfeld积分,再根据自由表面应力为零的特征,添加自由表面影响场,从而求得半无限空间集中力作用下饱和多孔介质动力学问题的解答.其结果与Philippacopoulos解答结果一致;当饱和多孔蜕化为单相时与Lamb的方程一致.整个推导过程明了,物理意义也较为清晰;方法符合常规解法.因此,该方法为简化与规范饱和多孔介质动力学问题的解答提供了基础;并且能为一直未解决的半无限空间饱和多孔介质动力学问题的流相解答(诸如孔隙压、排水量)提供解决途径.

关于两相饱和介质中流相Green函数的解析解

自然界中许多动力学问题需要用两相饱和介质Green函数求得解答,本文在两相饱和介质位移场Green函数解答的基础上,求得的有关饱和流体孔隙压力,进、排流体流量等三个Green函数.从而使两相饱和介质涉及流体问题的Lamb方程能完整地使用.论文在推导过程中详细地阐述了流体三个Green函数的物理意义,并将所得结果与Chen(1994)的纯数学的结果作了了对比.最后文章讨论了解析解的稳定性.

Study on the Greening Design of Residential Areas in Yichun City

In this research,the functions and principles of residential greening design in medium-sized cities are analyzed.Taking the greening design of a residential area in Yichun City for an example,we aim at providing some references for the urban residential district greening design.

一种构造平面分层均匀媒质并矢Green函数的新方法

本文从自由空间中的并矢Green函数出发，引入了一种构造平面分层均匀媒质的并关Green函数的新方法。根据平面分层均匀媒质中不同取向的点源辐射在场声、处的响应得到了并失Green函数的港分量．再由谱分量得出了平面分层均匀煤质并关Green函数的积分表达式。

构造平面分层均匀媒质并矢Green函数的本征谱方法

本文从自由空间中的并矢Green函数出发，引入一种构造平面分层均匀媒质中并矢Green函数的新方法。根据平面分层均匀媒质中不同取向的点源辐射在场点处的响应得到并矢Green函数的谱矢量，进而得出平面分层均匀媒质中并矢Green函数的积分表达式。

广义Helmholtz方程的Green函数及旋波介质色散关系的另一求解方法

运用并矢法求解广义Helmholtz方程,结合Fourier变换、留数定理等数学处理,给出方程的并矢Green函数解析表达式;并进一步就旋波介质给出其中色散关系的另外一种求解方法.

各向异性分层介质电磁场并矢Green函数的混合算法

提出一种兼顾精度与效率且不受参数范围限制的各向异性分层介质电磁场并矢Green函数的混合算法,并研究其在求解层状介质电磁响应中的应用。首先给出四种场型并矢Green函数在均匀各向异性介质中的闭合解析解以及在层状各向异性介质中的Sommerfeld积分表示,并重点考察了场源横向距离为零时的解;然后通过对比分析Sommerfeld积分的各种计算方法的优缺点及适用条件,得到一种根据参数范围自动选配最优计算方案的混合算法,并研究了特殊几何模型情况下全空间上并矢Green函数的高效计算问题;最后利用所提出的算法考察了层状各向异性介质背景下偶极子的辐射等实际问题。

非均匀介质中静电问题的Green函数解法

用Green函数法解决非均匀介质中静电学的Dirichlet问题。主要讨论了电介质性质连续变化和介质性质分区均匀两种情形,给出了相应的Green函数解公式。

两相饱和介质中的集中力点源Green函数

通过对两相饱和介质 Ｂｉｏｔ 方程的变换，利用 Ｐｏｉｓｓｏｎ 方程和 Ｈｅｌｍ ｈｏｌｔｚ 方程性质，求解得到两相饱和介质在集中力点源作用下的位移场 Ｇｒｅｅｎ

饱和多孔介质的二维Green函数及地震反应的BEM计算

按照De Hoop的方法,通过三维解答的积分得到集中力作用下饱和多孔介质U-P形式的二维Green函数,利用耦合纵波的解耦及分波类型的奇异点处理,完成了集中力作用下半空间多孔介质动力响应的BEM计算,通过Duhamel公式积分分别给出了在输入EI Centro和2008年汶川地震加速度记录后的饱和土隧道的地震响应计算。研究结果表明:隧道的地震放大作用明显;EI Centro或汶川2008地震记录作用下,隧道底部的响应均要大于中间和顶部的响应。

In-plane dynamic Green's functions for inclined and uniformly distributed loads in a multi-layered transversely isotropic half-space

The dynamic stiffness method combined with the Fourier transform is utilized to derive the in-plane Green’s functions for inclined and uniformly distributed loads in a multi-layered transversely isotropic（TI）half-space.The loaded layer is fixed to obtain solutions restricted in it and the corresponding reactions forces,which are then applied to the total system with the opposite sign.By adding solutions restricted in the loaded layer to solutions from the reaction forces,the global solutions in the wavenumber domain are obtained,and the dynamic Green’s functions in the space domain are recovered by the inverse Fourier transform.The presented formulations can be reduced to the isotropic case developed by Wolf（1985）,and are further verified by comparisons with existing solutions in a uniform isotropic as well as a layered TI halfspace subjected to horizontally distributed loads which are special cases of the more general problem addressed.The deduced Green’s functions,in conjunction with boundary element methods,will lead to significant advances in the investigation of a variety of wave scattering,wave radiation and soil-structure interaction problems in a layered TI site.Selected numerical results are given to investigate the influence of material anisotropy,frequency of excitation,inclination angle and layered on the responses of displacement and stress,and some conclusions are drawn.

Green's function of multi-layered poroelastic half-space for models of ground vibration due to railway traffic

This study proposes a Green＇s function, an essential representation of water-saturated ground under moving excitation, to simulate ground borne vibration from trains. First, general solutions to the governing equations of poroelastic medium are derived by means of integral transform. Secondly, the transmission and reflection matrix approach is used to formulate the relationship between displacement and stress of the stratified ground, which results in the matrix of the Green＇s function. Then the Green＇s function is combined into a train-track-ground model, and is verified by typical examples and a field test. Additional simulations show that the computed ground vibration attenuates faster in the immediate vicinity of the track than in the surrounding area. The wavelength of wheel-rail unevenness has a notable effect on computed displacement and pore pressure. The variation of vibration intensity with the depth of ground is significantly influenced by the layering of the strata soil. When the train speed is equal to the velocity of the Rayleigh wave, the Mach cone appears in the simulated wave field. The proposed Green＇s function is an appropriate representation for a layered ground with shallow ground water table, and will be helpful to understand the dynamic responses of the ground to complicated moving excitation.

CHARACTERISTICS OF CAVITY-BACKED NARROW SLOT ANTENNA IN A LOSSY MEDIUM

The characteristics of a cavity-backed using the moment method and Dyadic Green's funused to convert the double series of the elements inintegration middle value theorem and elliptic integr}the elements. Numerical results show the effects of tthe input impedance, which could be used in designing the Cavity-Backed Slot Antenna