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基于传统广义屈服函数的弹性模量缩减法应用于薄壁结构极限承载力分析时,往往出现计算结果不稳定、精度较低等问题.为此通过理论分析探索了问题的根源,研究建立了工字型截面的齐次广义屈服函数,提出了回归分析的配点遴选原则,通过误差分析确定了齐次多项式的幂次数;根据工字型截面齐次广义屈服函数定义了薄壁构件的单元承载比,利用单元承载比特征分布参数定义了承载比均匀度和基准承载比,为薄壁结构高承载单元的判别提供了动态判据,进而依据变形能守恒原则建立了自适应弹性模量调整策略,建立了工字型薄壁结构极限承载力分析的弹性模量缩减法.算例分析表明,本文方法能准确考虑组合内力对工字型薄壁结构极限承载力的综合影响,得到具有良好稳定性和计算精度的结果.
When the elastic modulus reduction method based on the traditional generalized yield function is applied to the analysis of the ultimate bearing capacity of thin-walled structures, the calculation results are often unstable and the accuracy is low.Thus, the root causes of the problems are explored through theoretical analysis, Hierarchical generalized yield function of the cross-section, proposed principle of matching point selection of regression analysis, and determined the power of homogeneous polynomial by error analysis. According to the homogeneous generalized yield function of I-shaped section, the unit bearing ratio , The bearing ratio uniformity ratio and the reference bearing ratio are defined by using the parameter of unit bearing ratio distribution, which provides a dynamic criterion for discriminating the high load carrying units of thin-walled structures. Based on the principle of conservation of deformation energy, an adaptive elastic modulus adjustment strategy is established. The elastic modulus reduction method for the ultimate bearing capacity analysis of the I-shaped thin-walled structure is established.Examples show that this method can accurately consider the combined effect of the combined internal force on the ultimate bearing capacity of the I-shaped thin-walled structure and obtain the good stability And the result of calculation accuracy.