This paper aims to provide an efficient and straightforward structural form-finding method for designers to extrapolate component forms during the conceptual stage. The core idea is to optimize the classical method of structural form-finding based on principal stress lines by using parametric tools. The traditional operating process of this method relies excessively on the designer's engineering experience and lacks precision. Meanwhile, the current optimization work for this method is overly complicated for architects, and limitations in component type and final result exist. Therefore, to facilitate an architect's conceptual work, the optimization metrics of the method in this paper are set as simplicity, practicality, freedom, and rapid feedback. For that reason, this paper optimizes the method from three aspects: modeling strategy for continuum structures, classification processing of data by using the k-nearest neighbor algorithm, and topological form-finding process based on stress lines. Eventually, it allows architects to create structural texture with formal aesthetics and modify it in real time on the basis of structural analysis results. This paper also explores a comprehensive application strategy with internal force analysis diagramming to form-finding. The finite element analysis tool Karamba3D verifies the structural performance of the form-finding method. The performance is compared with that of the conventional form, and the comparison results show the practicality and potential of the strategy in this paper.

本文旨在为设计人员在概念阶段推断组件形式提供一种有效且直接的结构形式查找方法。核心思想是利用参数化工具优化基于主应力线的经典结构找形方法。这种方法的传统操作过程过度依赖设计者的工程经验，缺乏精确性。同时，目前这种方法的优化工作对于架构师来说过于复杂，并且存在组件类型和最终结果的限制。因此，为了方便架构师的概念性工作，本文方法的优化指标设定为简单、实用、自由和快速反馈。为此，本文从三个方面对方法进行优化：连续体结构的建模策略，使用k最近邻算法对数据进行分类处理，以及基于应力线的拓扑找形过程。最终，它允许建筑师创建具有形式美学的结构纹理，并根据结构分析结果对其进行实时修改。本文还探讨了一种综合应用策略，将内力分析图表用于找形。有限元分析工具 Karamba3D 验证了找形法的结构性能。将性能与常规形式进行了比较，比较结果表明了本文策略的实用性和潜力。以及基于应力线的拓扑找形过程。最终，它允许建筑师创建具有形式美学的结构纹理，并根据结构分析结果对其进行实时修改。本文还探讨了一种综合应用策略，将内力分析图表用于找形。有限元分析工具 Karamba3D 验证了找形法的结构性能。将性能与常规形式进行了比较，比较结果表明了本文策略的实用性和潜力。以及基于应力线的拓扑找形过程。最终，它允许建筑师创建具有形式美学的结构纹理，并根据结构分析结果对其进行实时修改。本文还探讨了一种综合应用策略，将内力分析图表用于找形。有限元分析工具 Karamba3D 验证了找形法的结构性能。将性能与常规形式进行了比较，比较结果表明了本文策略的实用性和潜力。本文还探讨了一种综合应用策略，将内力分析图表用于找形。有限元分析工具 Karamba3D 验证了找形法的结构性能。将性能与常规形式进行了比较，比较结果表明了本文策略的实用性和潜力。本文还探讨了一种综合应用策略，将内力分析图表用于找形。有限元分析工具 Karamba3D 验证了找形法的结构性能。将性能与常规形式进行了比较，比较结果表明了本文策略的实用性和潜力。