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

  • 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。

     

    Abstract: 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.

     

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