针对目前箱型截面广义屈服函数为非齐次函数,采用弹性模量调整法求解箱型结构极限承载力时易出现计算结果受荷载初始值影响和计算精度受损的问题,建立了箱型截面的齐次广义屈服函数,并通过误差分析确定了齐次多项式的阶次,进而定义了箱型截面构件的单元承载比、承载比均匀度和基准承载比,建立了以单元承载比为基本参数的弹性模量调整策略,据此提出了箱形结构极限承载力分析的弹性模量缩减法;并通过算例对该方法进行验证,算例分析表明,该方法计算箱型截面结构极限承载力时,结果不受荷载初始值的影响,具有良好的计算精度和迭代稳定性.
As the existing generalized yield function of box section is non-homogeneous, the ultimate bearing capacity of structures with box section obtained by elastic modulus adjustment procedures is often affected by the initial load, and the calculation accuracy is not satisfactory. In order to solve this problem, a homogeneous generalized yield function is developed for box section, and the order of the polynomial expression is determined through error analysis. Then, the element bearing ratio (EBR), the EBR uniformity and the reference EBR for box section are defined, and an elastic modulus adjustment strategy that takes EBR as the basic parameter is proposed. Moreover, an elastic modulus reduction method for the analysis of ultimate bearing capacity of the structures with box section is presen- ted, and some numerical examples are used to verify the correctness of the method. The results show that the proposed method helps to eliminate the effect of the initial load and possesses high calculation accuracy and strong iteration stability.