无拉力双参数地基上自由边矩形薄板的弯曲(英文)

Bending problems of rectangular thin plate with free boundaries laid on the tensionless foundations with double parameters

应用 Fourier级数加补充项的方法求解了无拉力双参数地基上自由边矩形薄板的弯曲问题 .通过适当设定满足可导条件的 Fourier级数加补充项形式的挠度函数 ,把给定边界条件下的微分方程化成一个无穷代数方程组 ,因接触区的边界预先不能确定 ,故这组方程为弱非线性方程 。

In this paper,the method of Fourier series with supplementary terms was used to solve the bending problems of rectangular thin plate with free boundaries laid on the tensionless foundations of double parameters.By assuming proper deflection functions which have the form of Fourier series with supplementary terms and meet derivable conditions,the basic differential equation given boundary conditions can be transformed into a set of infinite algebraic equations. The boundaries of contact region can not be given at first,so the set of equations are weak nonlinear ones, the solutions of which can be obtained by using iterative procedures.