吴天云. 油罐中幅板和边缘板搭接的应力分析[J]. 油气储运, 1997, 16(8): 13-18.
引用本文: 吴天云. 油罐中幅板和边缘板搭接的应力分析[J]. 油气储运, 1997, 16(8): 13-18.
Wu Tianyun. Stress Analysis of Storage Tank with its Annular Plates and Center Plates Lap-jointed[J]. Oil & Gas Storage and Transportation, 1997, 16(8): 13-18.
Citation: Wu Tianyun. Stress Analysis of Storage Tank with its Annular Plates and Center Plates Lap-jointed[J]. Oil & Gas Storage and Transportation, 1997, 16(8): 13-18.

油罐中幅板和边缘板搭接的应力分析

Stress Analysis of Storage Tank with its Annular Plates and Center Plates Lap-jointed

  • 摘要: 分析了大型油罐底边缘板和下节点的应力, 对边缘板与中幅板搭接且罐基础具有环梁时的应力进行了精确的理论分析和应力计算, 并将本文的计算方法与API和中国科学院方法在罐底板假设边界条件的合理性方面进行了比较。对实测过的50000m3油罐进行的分析表明, 所测边缘板的应力大于本文理论计算结果和吴天云方法的结果, 与中国科学院方法的结果基本一致, API方法的结果最偏离实测值, 同时分析了计算应力偏小的原因。在得出的十元方程组(八元线性、两元非线性)的解法上, 提出的双重对分区间法对解大型非线性方程组中只有少数几个非线性项的问题具有普遍的理论意义, 避免了牛顿迭代法求解各式导数的烦琐, 并将整个问题最后归结为直接求线性方程组的解和回代, 解法简洁。

     

    Abstract: This paper presents the analysis of stress at the annular plate and bottom node of storage tank, is suitable for the case with the annular plates and center plates lap-jointed and with a concrete ring wall under the tank shell, and presents accurate theoretical analysis and stress calculations. This method can be compared with the API and ASC(Academy of Sciences of China)method to compare the suitability of their tank foundation hypothesis. For 5 000 m3 storage tank with its stress measurements carried out, the measured stresses are more than this paper's theoretical stress calculations and the calculations of Wu Tianyun method, are consistent with the results of ASC method, but are most discrepant with the API results. The difference among the methods is discussed, and so is the reason for those differences. The given equation group has ten variables with eight linear variables and two nonlinear variables, so this is a nonlinear equation group. The double area-bisection presented here is of universal significance for nonlinear equation groups with only a few nonlinear variables in them, and eliminates the inconvenience of Newton iterative method which needs the derivatives of all ten equations. This paper's method only solves linear equation group, so the plot of solving nonlinear equation group is ingeniously conceived.

     

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