各向异性半空间上方垂直磁偶极子电磁场的球面波展开式

文中推导出单轴各向异性媒质半空间上方垂直磁偶极源电磁场的精确解析表达式. 应用圆柱波函数的球面波展开式和超几何函数理论，场分量中的索末菲尔德型积分被表示成快速、绝对收敛的球面波函数系展开式；展开系数是以物性参数为复宗量的勒让德多项式. 该展开式数学物理意义明显，并且不受场点和源点的位置、媒质的物性参数和频率等条件的限制. 利用本文的结果可十分方便地计算和分析任意场点处的电磁场分布.     

Influence of rainfall on the deformation and stability of a slope in overconsolidated clays: a case study

The behaviour of an instrumented unstable slope in a profile of weathered overconsolidated clay has been analysed. Available field investigation data and laboratory tests were integrated in a coupled hydromechanical model of the slope. Particular attention was given to the unsaturated soil conditions above the water table and to the influence of the rainfall record. Recorded pore-water pressures helped to identify the hydrogeological conditions of the slope. The coupled model was used to compute slope deformations and the variation of safety with time. Actual rainfall records were also integrated into the analysis. Comparison of measurements and calculations illustrate the nature of the slope instability and the complex relationships between mechanical and hydraulic factors. Electronic Publication     

On the equation of state for the Λ field

The recently detected accelerated expansion of the Universe is related to the existence of a new type of matter called the Λ field or quintessence. Constraints were obtained on its equation of state from the absence of clustering of this matter on scales much smaller than the cosmological horizon. The question of how these constraints affect the possibility of fitting the accelerated expansion by such cosmological models as the Chaplygin gas model is discussed.     

A SPATIALLY-VARYING PARAMETER MODEL OF AFDC PARTICIPATION: EMPIRICAL ANALYSIS USING THE EXPANSION METHOD*

Spatial variation in the importance of determinants of participation in the Aid to Families with Dependent Children program (AFDC) is investigated for the U.S. Casetti's Expansion Method is applied to the two-dimensional space domain by making the model's parameters a function of state x–y centroids. The spatially-varying parameter model suggests that the black population's association with participation is lowest in the Southeast and Northwest and greatest in the Southwest and Northeast.     

伸缩缝刚度对大跨度悬索桥动力特性的影响

伸缩缝作为大跨度桥梁与引桥之间的重要连接构件,其抗推刚度及可能存在的变异性对主桥及引桥动力特性的影响不可忽略。本文建立了大跨度悬索桥及引桥的有限元模型,采用弹簧单元模拟加劲梁与引桥箱梁之间的伸缩缝,分析伸缩缝刚度对悬索桥及引桥自振特性及其地震响应的影响规律。分析结果表明:伸缩缝刚度对加劲梁的横弯振型、竖弯与纵飘耦合振型的频率有明显的影响;伸缩缝刚度的变化会导致加劲梁与引桥的振型相互耦合,同时这些振型的频率发生相应的突变,当伸缩缝刚度较大时,加劲梁两个竖弯与纵飘的耦合振型解耦成为独立的竖弯和纵飘振型;当引桥与悬索桥加劲梁的纵飘振型发生耦合时,在纵向和竖向地震作用下的悬索桥及引桥的地震响应达到最小。伸缩缝刚度对悬索桥动力特性影响的分析可为悬索桥的模态参数确认、损伤识别、抗震性能分析提供有价值的借鉴。     

Surface gravity wave interaction with elastic bottom

In the present paper, a hydroelastic model is developed to deal with surface gravity wave interaction with an elastic bed based on the small amplitude water wave theory and plate deflection in finite water depth. The elastic bottom bed is modelled as a thin elastic plate and is based on the Euler-Bernoulli beam equation. The wave characteristics in the presence of the elastic bed is analyzed in both the cases of deep and shallow water waves. Further, the linearized long wave equation is generalized to include bottom flexibility. A generalized expansion formula for the velocity potential is derived to deal with the boundary value problems associated with surface gravity waves having an elastic bed. The utility of the expansion formula is illustrated by demonstrating specific physical problems which will play significant role in the analysis of wave structure interaction problems. Behavior of the wave spectra are discussed in the case of closed basin having a free surface and an elastic bottom topography.     

不同规格化的引潮位展开及其转换

引入完全规格化的缔合勒让德函数,阐述国际上两类不同规格化的引潮位展开,使引潮位函数表达更加简明,大地系数定义更加规范. 由此得到由Doodson规格化与Hartmann & Wenzel规格化之间的转换系数.     

基础设施与人类生存环境之关系研究

人类在其发展中倾注了大量的人力、物车、财力建设基础设施，希图构筑理想生存环境。但基础设施为人类带来了什么？对人类的发展产生了何种影响？如何认识基础设施在人类生存环境演化中的作用？本文从积极角度阐述了基础设施与人类生存环境之关系，透视了基础设施在活动空间扩展、资源共享和生存环境优化方面的作用与意义。     

夏季风场对长江冲淡水扩展影响的数值模拟

建立一个σ坐标系下三维非线性斜压陆架模式，研究长江冲淡扩展的动力机制。数值试验再现了夏季长江冲淡水转向东北的现象，夏季风场对长江冲淡水扩展的影响，取决于风速的大小和动向，风速为３ｍ／ｓ的南风，对冲淡水向北扩展的影响比较明显，而当南风风速达到６ｍ／ｓ时，则起着十分显著的作用，西南风加强了冲淡水向东扩展，但对南北向的扩展影响甚微，东南风抑了冲淡水向东扩散，并使之偏向西北，明确阐明了夏季风场对冲淡水扩展     

夏季长江冲淡水转向机制的数值试验

利用普林斯顿海洋环流模式(POM)，通过一系列的理想试验，探讨了夏季长江冲淡水的扩展机制。结果表明：(1)倾斜底形是夏季长江冲淡水向东北偏转的一个必要条件；夏季冲淡水向东北偏转是南风、斜压效应和底形的共同作用的结果，其中风应力和底形的相互作用占主导地位；单纯的底形东倾不能使冲淡水向北偏转。平底时，南风和淡水浮力强迫都不能使冲淡水向北偏转。(2)无风时，人海淡水可以在河口附近强迫出一个反气旋涡旋和贴岸南下的狭窄的沿岸流，反气旋涡旋与淡水浮力强迫(斜压效应)有关，南下沿岸流则与质量输入有关；平底时，反气旋涡旋位于河口正东，倾斜底形时，反气旋涡旋向北拉伸，冲淡水的一部分沿岸向北扩展；人海淡水在河口附近强迫出一个闭合的垂直环流圈：上层为离岸流，淡水向外海扩展，约在离岸30—45km处有下降流；低层有高盐水沿海底流向河口，约在离河口。lOkm处与向海的径流相遇，引起上升流。