树承式自由曲面结构形态创建方法研究  

Study on morphological generation of branch-supported free-form structure

作　　者：汪江红 崔昌禹[2] 涂桂刚 姜宝石[4] WANG Jianghong;CUI Changyu;TU Guigang;JIANG Baoshi(School of Civil Engineering and Architecture,Xinyu University,Xinyu 338004,China;School of Civil Engineering,Harbin Institute of Technology,Harbin 150090,China;College of Construction Engineering,Jilin University,Changchun 130012,China;School of Civil Engineering and Architecture,Hainan University,Haikou 570228,China)

机构地区：[1]新余学院建筑工程学院,江西新余338004 [2]哈尔滨工业大学土木工程学院,黑龙江哈尔滨150090 [3]吉林大学建设工程学院,吉林长春130012 [4]海南大学土木建筑工程学院,海南海口570228

出　　处：《建筑结构学报》2025年第1期189-203,共15页Journal of Building Structures

基　　金：国家自然科学基金项目(51968018,51578185)。

摘　　要：自由曲面和树状结构在大跨度建筑中应用广泛,其承载能力与形状密切相关。树承式自由曲面结构融合了两种结构形式的几何特点,但目前形态创建研究大多围绕单一结构形式展开。为充分考虑不同结构形式在承载过程中的协同作用,建立了树状结构与自由曲面壳体结构的联合形态创建方法。采用样条理论和分形技术分别完成两种结构的初始形状生成,利用参数域建立树状结构与自由曲面壳体之间的位置关系,通过调整曲面型值点、曲面与树状支承交点和树状结构非交节点3类设计变量实现以结构整体应变能最小化为目标的形态优化,同时对优化前后结构的受力特征、应变能变化展开分析,并研究不同设计变量调整方案对优化结果的影响。结果表明:初始形状创建方法满足树承式自由曲面结构几何特征表达的需要;优化后的结构主要以薄膜力和轴向力传递荷载,整体刚度得到了明显提高,验证了优化方法的有效性;在满足建筑与结构需求的前提下,不同的设计变量调整方式还可为建筑设计提供多种受力性能良好的方案。Free-form and branching structures are widely used in large-span buildings,their bearing capacities are closely related to their shapes,branch-supported free-form structure combines the geometric characteristics of the two structural forms.Most of the current morphological generation researches focus on a single structural form.In order to consider the synergy of different structural forms in the bearing process,a joint morphological generation method was established.This method used spline theory and fractal technology to generate the initial shapes of the two structures respectively,used the parameter domain to establish the position relationship between the two structures,and achieved the morphology optimization with the goal of minimizing the overall strain energy by adjusting three design variables,namely,the data points of surface,the intersection points,and the non-intersection points of branching structure,and then the stress characteristics and strain energy changes of the structure before and after optimization were analyzed,and the influence of different design variable adjustment schemes on the optimization results was explored.The results show that the initial shape generation method meets the needs of geometric feature representation of this structure;the optimized structure mainly transmits the load by membrane force and axial force,and the overall stiffness has been significantly improved,which verifies the effectiveness of the optimization method;on the premise of meeting the requirements of architectures and structures,different adjustment methods of design variables can also provide a variety of reasonable schemes for building design.

关 键 词：自由曲面结构 树状结构 形态创建 协同作用 

分 类 号：TU311.41[建筑科学—结构工程]