结构极限承载力计算方法及其收敛性

在考虑双非线性影响的结构极限承载力的计算时,为提高计算精度和效率,对弧长增量法和位移增量法中的增量参数、不平衡力收敛计算过程进行了比较分析,并提出了考虑全自由度的位移增量法。通过按不同增量法对几种类型的结构进行极限承载力计算,分析了各种增量方法的精度、效率和适用范围。结果表明:在结构的双非线性分析时,弧长增量法和位移增量法均较为有效,且位移增量法的适用性更好。结论为结构双非线性分析时确定合理的算法提供了参考。

Calculation Method for Ultimate Bearing Capacity of Structure and Its Convergence

In order to improve the accuracy and efficiency while considering bi-nonlinear computation of ultimate bearing capacity of structures,the arc length increment method and displacement increment method were investigated respectively by analyzing the increment parameters and the convergent process of unbalanced force.The results were studied and compared between the two methods.A new displacement increment method accounting for all degrees of freedom was proposed.The ultimate bearing capacities of different structures were compared with different increment methods,through which the precision,efficiency and applicable range were investigated.The results show that both arc length increment method and displacement increment method are efficient in bi-nonlinear analysis of structures,and the applicability of displacement increment method is better.The conclusion offers a good reference in the determination of reasonable calculating method for bi-nonlinear analysis of structures.