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基于拓扑优化的不完整边界树状结构生形方法初探

An Approach to Form an Incomplete Boundary Tree Structure Based on Topology Optimization

【作者】 范艺

【导师】 苏朝浩; 周帆;

【作者基本信息】 华南理工大学 , 建筑学(专业学位), 2023, 硕士

【摘要】 数字化技术的进步,大大促进了建筑设计的性能化发展,树状结构以其丰富而优美的仿生形态进入人们的视野。参数化设计工具的进步,为树状结构带来更多的可能性;但建筑师缺乏结构合理性判断工具,偏重造型新颖与空间适应性,往往导致材料浪费和结构效能低下。结构师从结构设计角度寻求最优解,结构合理性最大化的同时无法满足复杂空间需求,其唯一解通常不具备普适性。如何规避树状结构创作中建筑设计与结构设计分离的困境,并建构一套结构性能良好且满足空间适用性要求的生形方法,是本研究企求解决的问题。本文以不完整边界树状结构为研究对象,采用了参数化设计与拓扑优化结合的研究方法,重点研究了不完整边界条件下,平面体系、三维体系树形结构的生形与优化方法。发展和完善了两种基于拓扑优化理论的不完整边界树状结构生形方法。方法一是基于参数化生形与拓扑优化协同的方法,包括初始树形生成、力学模型转化、截面拓扑优化、形态优化与综合评估四步,从力学性能、材料效能、形态丰富度方面综合评估优化结果。方法二是基于拓扑优化的直接式生形方法,包括设定设计域、设置荷载与支撑点、算法生成初始树状结构、调整初始条件与综合评估四步,从构件弯折程度、结构质量、层级数与形态丰富度方面综合评估生形结果。通过模拟实验,论证了两套方法的可行性和有效性,最终实现了适应于不同类型不完整边界条件的形态丰富且具有良好结构性能的树状结构的生形目标。本文的研究基于参数化设计与拓扑优化的多平台协同方法,探索一套基于结构性能的树状结构生形方法,可为仿生结构及其适应性研究的相关领域提供理论参考价值;并可为树状结构及仿生结构的建筑创作实践提供实证参考和借鉴意义。

【Abstract】 The progress of digital technology has greatly promoted the performance-based development of architectural design,and the tree-like structure has entered people’s vision with its rich and beautiful bionic form.The progress of parametric design tools brings more possibilities for tree structure;However,architects lack of structural rationality judgment tools,and focus on novel modeling and spatial adaptability,which often leads to material waste and low structural efficiency.Architects seek the optimal solution from the perspective of structural design.While maximizing the rationality of structure,it cannot meet the needs of complex space,and its unique solution is usually not universal.How to avoid the dilemma of separating architectural design from structural design in the creation of tree structure,and to construct a set of shape generating methods with good structural performance and meeting the requirements of spatial applicability,is the problem to be solved in this study.This paper takes the incomplete boundary tree structure as the research object,adopts the research method combining parametric design and topology optimization,and focuses on the formation and optimization methods of the planar system and three-dimensional system tree structure under the incomplete boundary condition.Two methods of forming incomplete boundary tree structures based on topology optimization theory are developed and improved.Method one is based on the collaboration between parametric shape formation and topology optimization,including initial tree formation,mechanical model transformation,cross-section topology optimization,shape optimization and comprehensive evaluation.The optimization results are comprehensively evaluated from the aspects of mechanical properties,material efficiency and form richness.Method 2 is a direct form forming method based on topology optimization,including setting design domain,setting load and support points,generating initial tree structure by algorithm,adjusting initial conditions and comprehensive evaluation.The form forming results are evaluated comprehensively from the aspects of bending degree,structural quality,number of levels and form richness of components.Through simulation experiments,the feasibility and effectiveness of the two methods are demonstrated.Finally,the form-forming goal of tree structure with rich forms and good structural properties is achieved.Based on the multi-platform collaborative method of parametric design and topology optimization,this paper explores a set of tree-shaped structure formation methods based on structural performance,which can provide theoretical reference value for the research of bionic structures and their adaptability.And it can provide empirical reference for the architectural creation practice of tree structure and bionic structure.

  • 【分类号】TU318
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