基于正则化理论的钢管混凝土轴压短柱极限承载力分析模型

An Analysis Model for Ultimate Bearing Capacity of Axial Compressed CFST Stub Column Based on Regularization Theory

基于正则化理论,通过添加1个正则化因子,结合多项式回归模型,本文构造了正则化的钢管混凝土轴压短柱极限承载力分析模型。证明了存在正则因子,使多项式回归模型中信息矩阵的条件数可以降低到一定值,给出了计算公式。大量试验数据分析表明,新的正则化钢管混凝土轴压短柱极限承载力分析模型可改善多项式回归模型中信息矩阵的病态程度,避免由于信息矩阵的严重病态而导致矩阵求逆计算的失败,且正则化的分析模型与试验数据具有更小的拟合误差。

Based on regularization theory, by adding a regularization factor we constructed an analysis model for regularized ultimate bearing capacity column. It is proved that the existence of regular factor which can reduce the to polynomial regression model, of axial compressed CFST stub condition number of information matrix in polynomial regression model to a certain value, and the calculation formulas are also given. A large number of experimental data analysis shows that the new regularization theory analysis model can reduce the ill-conditioned extent to the information matrix in polynomial regression model, and avoid the inversion computing failure caused by severely ill-conditioned problem in information matrix, and the regularization theory analysis model has a better goodness of fitting than polynomial regression model.