四点支承单层开孔玻璃承载性能的有限差分法分析  

FLEXURALANALYSIS OF 4-POINT SUPPORTED GLASS PANEL WITH HOLES BY FINITE DIFFERENCE METHOD

作　　者：马赢[1] 石永久[1] 王元清[1] 

机构地区：[1]清华大学建筑玻璃与金属结构研究所,北京100084

出　　处：《工程力学》2005年第2期67-72,共6页Engineering Mechanics

摘　　要：基于小挠度薄板的近似理论,采用有限差分法分析了4 点支承带孔玻璃板位移和应力的分布规律,并通过对点支承处进行特殊处理,建立了奇点模型,同时提供了孔边应力的计算公式。该计算模型描绘了点支玻璃板中应力分布的特点,直观、理论性强且操作简便,且计算结果与现行规程、有限元计算的结果较好的吻合。孔边应力的计算方法可为规程的补充提供必要理论依据。Based on the theory of thin plates with small deflections, finite difference method is used to analyze the displacements and stresses of 4-point supported glass panels. At the support point, where the stresses are singular, a special method is derived to modify the equation. A formula to calculate the maximum principal stress around the hole is also provided. Numerical examples demonstrate that the method gives an efficient solution for stress distribution in point-supported glass panel. The results agree well with finite element solution and code data. The present method for stress analysis around the hole provides a basis for supplementing the design code.

关 键 词：点式支承 有限差分法 带孔玻璃 奇点 孔边应力 

分 类 号：TU311[建筑科学—结构工程]