双指数源激励下垂直电偶极子产生的极低频近场

针对雷电过程在地面产生的近区极低频电磁脉冲,推导出了双指数模型激励下垂直电偶极子产生的极低频电磁场的瞬态近似表达式.该方案基于Sommerfeld积分在准静态近似下求解,从频域出发,利用单位脉冲响应的近似结果与双指数模型激励源卷积计算的方法,通过傅里叶逆变换,得到了双指数源激励下的瞬态解析表达式,其可用于模拟雷电信号产...     

无拉力弹性半空间地基上预应力四边自由中厚板的动力响应

基于Reissner-Mindlin一阶剪切变形板理论,讨论在预加面内机械荷载和温度场作用下,无拉力弹性半空间地基上四边自由中厚板在动荷载作用下的动力特性。把地基看作三维弹性半空间体,考虑地基变形衰减,用一组数学上完备的二元多项式作为位形函数,采用pb-2 Rayleigh-Rizt法求得四边自由中厚板的动力响应,并讨论了初应力对板的动挠度和动弯矩的影响。     

Multiple interacting planar cracks in an anisotropic multilayered medium under an antiplane shear stress: a hypersingular integral approach

The problem of determining the stress field around an arbitrary number of arbitrarily-located planar cracks in an anisotropic elastic half-space which adheres perfectly to an infinitely-long elastic strip is considered. The strip is made up of several layers of anisotropic materials which are perfectly bonded to one another. The multilayered medium is assumed to undergo an antiplane deformation. Suitable integral expressions are used to represent the displacement and the stress, leading to a system of hypersingular integral equations to be solved. For a specific example of the problem, which involves particular transversely-isotropic materials, the hypersingular integral equations are solved numerically, in order to calculate the relevant crack tip stress intensity factors.     

移动荷载作用下弹性半空间土体的动力响应

基于弹性体激振下的运动方程以及入射波与反射波的叠加理论,结合坐标变换和傅里叶变换,建立了分析移动荷载作用下弹性半空间土体动力响应的谱元法.对某实际算例中路面的各力学性能指标进行动力响应分析,得出了由于荷载速度、荷载频率以及土体阻尼比不同而导致的土体表面各点竖向位移的变化,并与其他方法计算结果进行对比.结果表明:该方法合...     

半空间方法在检测基片镶嵌缺陷粒子中的应用

为了更好地诊断出基片无损检测工作中缺陷粒子姿态的详细信息,使用三波技术给出了半空间问题相应的连接边界条件,利用互易性定理简化近远场外推中的场变换过程,给出了一种有效的计算基片与镶嵌缺陷粒子散射方法．在数值计算中与矩量法（MOM）进行了比较,得到了P偏振和s偏振下镶嵌Cu和SiO2球体缺陷粒子的微分散射截面和电场分布．研究结果表明：介质缺陷的微分散射截面的值小于同条件下金属缺陷粒子的值．在应用中可通过分析P偏振场值分布特点反演缺陷特征值．     

饱和层状地基的瞬态动力响应分析

在Biot饱和多孔介质理论的基础上,应用Laplace变换、Fourier级数展开和Hankel变换将波动方程转化为一组二阶常微分方程;运用薄层法原理在竖向进行离散求解,得到饱和层状地基Lamb问题的Laplace域内解答,并利用Laplace数值逆变换最终得到时域内的数值解答,最后,通过计算实例验证了本文方法.     

饱和多孔半空间上圆板的简谐振动

利用解析法对横观各向同性饱和弹性半空间地基上弹性薄圆板的简谐振动进行了系统分析.板的挠度、荷载、地基反力及板下地基表面的沉降均被展开为Fourier-Bessel级数,这些级数中的待定系数由板的边界条件、板的控制方程及板-地基的相容条件加以确定,从而将饱和弹性半空间地基与弹性薄圆板的动力相互作用问题转化为数值积分和代数方程组的求解问题.数值计算表明,该级数解答具有较快的收敛速度.     

Vertical linear antennas in the presence of a lossy half-space: An improved approximate model

The unknown current distribution (UCD) and the input impedance/admittance of the vertical dipole antenna (VDA) in the presence of the homogeneous and isotropic lossy half-space are determined in this paper. The moment method (MoM) with an entire domain polynomial current approximation for numerical approach to the system of integral equations of Hallen's type (SIE-H) is applied for solving of this problem. The influence of the finite ground conductivity, expressed by the Sommerfeld's integral kernel (SIK), is modelled in a new simple way without limitations for the refraction index. This model gives output numerical results of enviable accuracy.     

移动荷载作用下弹性半空间Timoshenko梁的临界速度

根据梁的波速和半空间波速的相对关系,将Timoshenko梁-半空问系统分成四种不同情况。在梁与半空间相互作用的等效刚度和Timoshenko梁-半空间的弥散方程的基础上。利用弥散曲线，研究了移动荷载的临界速度。这四种情况分别为：软梁-硬半空间系统。次软梁-硬半空间系统，次硬梁-软半空间系统，硬梁-软半空间系统。研究表明，Timoshenko梁在移动荷载作用下的临界速度取决于梁的波速和半空间波速的相对关系；半空间的Rayleigh波波速始终是一个临界速度，当荷载速度达到Rayleigh波波速时．系统响应会趋于无穷大；对软梁-硬半空间系统，梁的剪切波速和压缩波速也是临界速度；对次软梁-硬半空间系统，梁的剪切波速是临界速度，并且还存在一个最小临界速度；对（次）硬梁-软半空间系统．粱的波速不再是临界速度。但也存在一个最小临界速度。     

Thermal effect on gravity waves in a compressible liquid layer over a solid half-space under initial hydrostatic stress

This paper deals with the effect of temperature on gravity waves in a compressible liquid layer over a solid half-space. It has been assumed that the liquid layer is under the action of gravity, while the solid half-space is under the influence of initial compressive hydrostatic stress. When the temperature of the half-space is altered, gravity waves propagate through the liquid layer along with sub-oceanic Rayleigh waves in the system. A new frequency equation has been derived here for gravity waves and sub-oceanic Rayleigh waves. It has been shown graphically that the phase velocity of gravity waves is influenced significantly by the initial compressive hydrostatic stress present in the solid half-space, for a particular value of the phase velocity of sub-oceanic Rayleigh waves and different coupling co-efficients of the temperature.