弹性半空间地基与环形板的相互作用

Interaction of annular plates and elastic half-space foundation

利用在L2[a,b]上的完备正交函数组,将板的位移函数、荷载、地基反力及板下地基表面的沉降均展开为Fourier-Bessel级数,通过解析法对弹性半空间地基与环形板的相互作用问题进行了系统地分析.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,从而将弹性半空间地基与环形板的相互作用问题转化为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.

Using complete orthogonal function systems inL2 and expanding the displacement of plate,the loads,the reactive force of soil ground,and the settlement of half-space＇s surface under the plate to Fourier-Bessel series,the interactions between annular plate and elastic half-space are investigated by analytic method.The unknown coefficients in those series are determined by the boundary conditions of plate,the governing equations of plate,and the continuous condition of plate-ground.The problems of interaction between plate and half-space changed to problems of solving algebraic equations.The numerical calculations are accomplished and the results indicate that the series is of fast convergence rate.