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.

Harmonic vibration of circular plates on transversely isotropic saturated porous half-space

Harmonic vibration of circular plates on transversely isotropic saturated porous half-space are investigated in this paper. The deflection of plate, the load, the reactive force of soil ground, and the settlement of half-space′s surface under the plate are all expanded to the Fourier-Bessel series. The unknown coefficients in those series are ascertained by the boundary conditions of plate, the governing equation of plate, and the continuous condition of plate-ground. The problems of dynamic interaction between plate and half-space are changed to the problems of numerical integral and algebraic equations. In the end, the numerical calculi are accomplished and the results indicate that the series are of quick convergence rate.