基于动力松弛的树状结构单元集群找形分析  

Element-clustered form-finding analysis of tree-like structures based on dynamic relaxation

作　　者：涂桂刚 陈晨[1] 崔昌禹[2] 汪江红 TU Guigang;CHEN Chen;CUI Changyu;WANG Jianghong(College of Construction Engineering,Jilin University,Changchun 130012,China;School of Civil Engineering,Harbin Institute of Technology,Harbin 150090,China)

机构地区：[1]吉林大学建设工程学院,吉林长春130012 [2]哈尔滨工业大学土木工程学院,黑龙江哈尔滨150090

出　　处：《建筑结构学报》2022年第11期287-293,共7页Journal of Building Structures

基　　金：国家自然科学基金项目(51578185)。

摘　　要：树状结构作为一种外形美观的支承结构,可与自由曲面网壳共同应用于大型公共建筑。采用动力松弛法确定树状支承结构与自由曲面网壳的合理形状时,在所得到的树状结构中常会出现低效构件。为此,提出了基于动力松弛的树状结构单元集群找形方法,该方法通过单元集群的方式,使模型中处于同一集群内的单元受力状态相同,这可以有效地避免树状结构与自由曲面网壳联合找形所得结构中出现低效构件。算例分析表明:通过设置单元集群,可以使找形最终所得到的结构中处于同一集群内的构件轴力分布均匀,从而保证各分支杆件在传力过程中均能起到积极作用;不同的单元集群方案对应着不同的找形结果,因此,单元集群也可作为调整结构形状的重要手段,在保证结构受力性能良好的基础上为结构设计提供多种方案。As a support structure with beautiful appearance,tree-like structure is often used in large public buildings together with free-form surface reticulated shell.When the dynamic relaxation method is used to determine the rational shape of the tree-like support structure and the free-form reticulated shell,there are often inefficient components in the obtained tree-like structure.Aiming at this problem,an element-clustered form-finding approach for tree-like structure based on dynamic relaxation was developed.The developed approach makes the elements in the same cluster have the same force-bearing state by means of element-clustering,which can effectively avoid the generations of inefficient members in the structure obtained by the form-finding for combination of the tree-like support structure and the free-form reticulated shell.Numerical example analysis shows that the axial forces of the members in the same cluster can be evenly distributed in the form-found structure of the element-clustered form-finding so as to ensure that each branch member can play a positive role in the force transmission process.In addition,different element-clustered schemes correspond to different resultant shapes,so element cluster can be used as an important means to adjust the shape of the structure,and provide a variety of schemes for structural design on the basis of ensuring the excellent mechanical properties of structure.

关 键 词：树状结构 单元集群找形方法 动力松弛 结构找形 

分 类 号：TU323.04[建筑科学—结构工程]