横观各向同性饱和多孔半空间与圆板的动力相互作用

Dynamic Interactions between Circular Plates and Transversely Isotropic Saturated Porous Half-Space

对横观各向同性饱和弹性半空间地基与弹性薄圆板的动力相互作用问题进行了系统地分析。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二重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。可以将该方法推广到弹性半空间与梁、矩形板相互作用问题的分析。

Dynamic interactions between circular plates and transversely isotropic saturated porous half-space are investigated. The plate deflection, load, reactive force of soil ground, and settlement of half-space surface under the plate are all expanded to the double Fourier-Bessel series, the unknown coefficients in those series are determined by the boundary conditions of plate, governing equation of plate, and continuous condition between plate-ground. The dynamic interaction between plate and half-space is transformed into solving numerical integral and algebraic equations. The numerical results indicate that the presented scheme with quick convergence rate can be expanded for the interaction analysis of half-space and beam or half-space and rectangle plate.