夹板约束边界玻璃板体力作用下面内受剪的有限差分解

Finite Difference Method Analysis on the Shear in Plane of Glass Plate with Overlapped Connector under the Body Force

基于薄板的平面问题,推导了体力作用下板的内部节点与边界条件的有限差分方程的形式.同时为了减小计算量和节约系统资源,玻璃板根据实际需要采用变网格划分的技术.通过对实际模型的合理简化并将有限差分法的计算结果与有限元的对比,证明了玻璃板在面内受剪时局部压应力起控制作用,且有限差分法适于计算夹板支承玻璃板面内受剪玻璃板的应力分布.图6,表3,参8.

Based on the plane theory of the thin plate, the equations of the finite difference method for the internal nodes and boundary conditions are derived. Meanwhile, to decline the complexity of calculation and save the system resource, the plate is partitioned with variable mesh. By the rational simplification and comparison between the results from FEM （finite dement method） and FDM, it is demonstrated that local compressive stress is a controlling factor on failure mode of the plate with shear in plane. Moreover, the results of stress distribution on the overlap-connected glass plate from FDM agree with that of FEM.6figs., 3tabs., 8refs.