基于数值逆吊法的树状结构智能设计算法  

Intelligent design algorithm for branching structures based on numerical inverse hanging method

作　　者：赵中伟 吴谨伽 于铎 吴刚[2] ZHAO Zhongwei;WU Jinjia;YU Duo;WU Gang(School of Civil Engineering,Liaoning Technical University,Fuxin 123000,China;School of Civil Engineering,Southeast University,Nanjing 211189,China)

机构地区：[1]辽宁工程技术大学土木工程学院,辽宁阜新123000 [2]东南大学土木工程学院,江苏南京211189

出　　处：《建筑结构学报》2022年第4期86-94,共9页Journal of Building Structures

基　　金：辽宁省教育厅基础研究项目(LJ2020JCL036);中国博士后科学基金特别资助项目(2021T140116)。

摘　　要：由于美观的造型以及高效的结构效率,树状结构越来越多地应用于大型建筑以及地标性建筑中。树状结构研究的关键除找形问题外,更为关键的问题是最优拓扑的确定,即寻找能够高效承受外部荷载的各分枝之间的连接关系。在前期基于数值逆吊法研究成果的基础上,提出了树状结构的拓扑优化数值算法,该算法根据构件的效能选取移除分枝,最终达到每一级的优化目标。将拓扑优化数值算法与找形算法和构件长度优化算法进行集成,给出了树状结构的智能设计算法体系。该算法可以根据外部荷载分布自动对树状结构找形,并移除低效能构件。直至剩余构件数量达到优化目标为止。采用该算法可以简化力流传递路径,根据荷载分布自动优化构件的空间分布并根据内力优化构件长度。为了防止误删高效能构件,在本算法中设计了构件复活功能,可以激活在找形过程中由低效能转变为高效能的构件。The branching structures have been widely adopted in large scale building structures and landmark buildings due to beautiful appearance and high structural efficiency.The key point of branching structure research is not only to achieve the form-finding,but also to determine the optimal topology of branching structure,that is,to find the connection between different nodes that can effectively bear the external load.A numerical algorithm for topological optimization of branching structures was proposed based on the previous research results.This algorithm removes branches according to the efficiency of components,and finally achieves the optimization goal of each level.By integrating the numerical algorithm of topology optimization with the algorithms of form-finding and component length optimization,an intelligent design algorithm system of branching structure was proposed.The algorithm can automatically achieve the form-finding of the branching structure according to the external load distribution and remove the inefficient components,until the number of remaining components reaches the optimization goal.The algorithm can simplify the path of force flow,automatically optimize the spatial distribution of the component according to the load distribution,and optimize the component length according to the internal force.In order to prevent the deletion of high-efficiency components,this algorithm contains the component resurrection function,which can activate the components that have changed from low-efficiency to high-efficiency in the form-finding process.

关 键 词：树状结构 拓扑优化 找形算法 长度优化 饱和态树状结构 数值逆吊法 

分 类 号：TU318.[建筑科学—结构工程]