文丕华. 求解弹性地基圆板问题的点源法[J]. 工程力学, 1987, 4(2): 18-26.
引用本文: 文丕华. 求解弹性地基圆板问题的点源法[J]. 工程力学, 1987, 4(2): 18-26.
Wen PiHua. Point Intensity Method of Solving Circular Plate Resting on Elastical Subgrade[J]. Engineering Mechanics, 1987, 4(2): 18-26.
Citation: Wen PiHua. Point Intensity Method of Solving Circular Plate Resting on Elastical Subgrade[J]. Engineering Mechanics, 1987, 4(2): 18-26.

求解弹性地基圆板问题的点源法

Point Intensity Method of Solving Circular Plate Resting on Elastical Subgrade

  • 摘要: 本文提出了一种解弹性地基圆板的点源法,成功地解决了作用任意载荷圆板的挠度弯矩与剪力问题,给出了集中力作用在不同边界约束圆板的挠度曲线。数值计算误差均在0.07%范围内。并提出当地基刚度 k≤D/R4时,其结果与无弹性地基板的解基本吻合。

     

    Abstract: In this paper,the point intensity method of solving circular plate resting on elastical subgrade is put forward,and the deflection,bending moment、shearing force of plate under arbtrary loads are numerically calculated successfully.This paper has given the numerical results which varies with different position of concentreted force、characteristic length Li.e 4√D/k and Poisson's radio μ. Compared with accurate solution,the relative error is less then 0.007%.By the numerical results we have obtained one conclusion that when the stiffness of subgrade K satisfies the inequality k4,both results of plate resting on the base and on nothing are very close.Some curves of deflection have been drawn up,and numerical results have been provided in the paper,which suit civil engineers for reference.

     

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