单向变刚度板结构分析的伽辽金线法

The Structural Analysis of Plates with Unidirectionally Varying Rigidity on Galerkin Line Method

基于线法原理，将定义在板域内的控制微分方程沿ｘ轴实施差分离散，在平行ｙ轴的直线族上，则运用伽辽金法讨论了弯曲刚度Ｄ（ｘ）任意时板的结构分析问题。位移函数选用满足端点位移条件的幂级数，并以约束矩阵处理其他边界条件。算例表明本文方法是可靠有效的。

The structural analysis of plates with unidirectionally varying flexural rigidity is investigated in this paper by the Galerkin line method. The proposed method involves difference discretization of the soverning equation along x axis and employes the Galerkin method on the nodal lines parallel to y axis. A power series which meets with the boundary displacements at y= 0 and y=b is chosen as the trial displacement function,and a constraint matrix is established to make the function satisfy the other boundary conditions. An illustrative example showes its reliability and efficiency.