立式储罐静力分析的简化有限元模型
Simplified finite element model for static analysis of vertical storage tank
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摘要: 有效的有限元模型以及合理的网格划分是大型储罐局部缺陷应力分析的基础。为了在保持计算精度的同时降低大型储罐有限元计算的计算量, 通过初步分析弹性地基接触模型计算的储罐沉降和变形, 结合底板的应力分布和变形特点, 将储罐底板翘离位置截面上的位移作为边界条件代替未翘离的底板和整个地基, 进而得到简化的二维储罐模型, 通过研究各方向网格尺寸对计算结果的影响获得合适的网格划分方式, 最后得到简化的三维储罐模型。对比分析表明: 经过简化的二维、三维储罐模型, 有足够的精度代替完整的弹性地基接触模型进行大型储罐的静力分析, 既可用于计算焊缝附近裂纹缺陷的应力强度因子, 又可用于评估储罐的剩余强度。Abstract: Effective finite model and reasonable grid partition are the basis for stress analysis on local defects of large tanks. In order to guarantee the calculation accuracy and reduce the burden of the finite element calculation for large tanks, the settlement and deformation of the storage tank calculated by the contact model of the elastic foundation was preliminarily analyzed. Based on the analysis, combined with the stress distribution and deformation characteristics of the bottom plate, the simplified two-dimensional storage tank model was obtained by replacing the bottom plate not uplifted and the whole foundation with the displacement on the section of the uplifted position as boundary condition. Then, through the study of the influence of the grid size on the calculation results in different directions, a suitable grid partition method was proposed and the simplified three-dimensional model of storage tank was obtained. As shown by the comparison analysis, the simplified two-dimensional and three-dimensional storage tank models are accurate enough to replace the complete elastic foundation contact model for static analysis, and the simplified model could also be used to calculate the stress intensity factor of the cracks near welds and to evaluate the residual strength of storage tanks.