研究目的：箱形截面由于形式多样,可选拐点数量众多,导致截面有效宽度的计算复杂,且难以形成通用的计算算法。针对常规求解算法只适用于特定形式截面、通用性不足的问题,提出适用于箱形截面的有效宽度通用计算算法。
研究结论：(1)基于节线将截面离散化处理,以得到适用于不同有限元软件数据格式的截面有效宽度;(2)通过分区域将截面解耦,分别计算局部节线再合并形成全局节线的方法,有效降低了节线计算复杂度,实现了复杂的多拐点截面有效宽度计算;(3)各区域节线计算模块相互独立,有效增加了各计算模块的通用性,减小了算法的维护工作量;(4)在各区域节线计算模块中,提出按特定的分类顺序依次形成多级子分支,并逐级对子分支计算节线的方法,确保了复杂的多拐点截面局部节线计算结果的准确性和完整性;(5)在本文算法的框架下,通过扩展实现了任意箱室数量箱形截面的有效宽度计算;(6)本文所述算法通用性强、适用范围广,可以高效地应用于混凝土桥梁的有限元建模中。

Research purposes: The calculation of the effective width of box sections is complicated and it’s difficult to form a universal algorithm due to the large number of box section forms and variable inflection points of the box section. In order to solve the problem that the conventional algorithm is only applicable to specific form sections and has defects in universality, this paper proposes a universal algorithm for calculating the effective width of the box section.
Research conclusions: (1) The section was discretized based on the nodel lines in order to obtain the effective width of section suitable for different finite element software data formats. (2) By dividing the section into multiple areas to decouple the section, calculating the local nodel lines and merging them to form the global nodel lines, the calculation complexity of the nodel lines was reduced effectively, and the calculation of the effective width of complex sections with multiple inflection points was realized. (3) The computing module of each area is independent of each other, which effectively increases the universality of each calculation module and reduces the maintenance workload of the algorithm. (4) In each nodel line calculation module, a method of forming multilevel sub-branches according to specific classification order and calculating nodel lines step by step according to sub-branches was proposed, which ensures the accuracy and completeness of the local nodel line calculation results of complex sections with multiple inflection points. (5) Under the framework of this algorithm, the calculation of the effective width of the box section with any number of box rooms was realized by extension. (6) The algorithm has strong generality and wide applicability, and can be applied to the finite element modeling of concrete bridges effectively.