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PolyFrame, Efficient Computation for 3D Graphic Statics
Computer-Aided Design ( IF 3.0 ) Pub Date : 2021-01-22 , DOI: 10.1016/j.cad.2021.103003
Andrei Nejur , Masoud Akbarzadeh

In this paper, we introduce a structural form finding plugin called PolyFrame for the Rhinoceros software. This plugin is developed based on the methods of 3D Graphic Statics and Polyhedral Reciprocal Diagrams. The computational framework of this plugin uses new robust and efficient algorithms for the creation and modification of complex funicular, compression-only structural forms and is freely available for students, designers, researchers, and practitioners in the fields of architecture, structural engineering, mechanical engineering, and material science. The geometry-based structural design methods are one of the most intuitive yet powerful structural design methods that have recently been extended to 3D based on the Principles of the Equilibrium of Polyhedral Frames. Still, the increased geometrical complexities of the polyhedral diagrams hinder more in-depth practical applications and the research in this field. The framework proposed in this paper can manage, in near real-time, the creation and transformation of reciprocal polyhedral diagrams with a large number of elements as form and force diagrams for structural design purposes. The paper also introduces a hybrid object-oriented data structure that extends and generalizes the previously proposed approaches and thus allows the users to incorporate a variety of different geometric constraints, including edge lengths and the location of the supports from the initial stages of design. Additionally, a new parallel manipulation algorithm is introduced that is capable of transforming polyhedral diagrams while preserving the edge directions and face normal. As a result, a designer can effectively manipulate both structural form and its force distribution without breaking their reciprocity.



中文翻译:

PolyFrame,高效的3D图形静态计算

在本文中,我们为Rhinoceros软件介绍了一个名为PolyFrame的结构形式查找插件。该插件是根据3D图形静态和多面倒数图的方法开发的。该插件的计算框架使用新的强大高效的算法来创建和修改复杂的缆索,仅压缩的结构形式,并且可以免费提供给建筑,结构工程,机械工程领域的学生,设计师,研究人员和从业人员,以及材料科学。基于几何的结构设计方法是最直观但功能最强大的结构设计方法之一,最近已基于多面框架的平衡原理将其扩展到3D。仍然,多面体图的增加的几何复杂性阻碍了更深入的实际应用和该领域的研究。本文提出的框架可以以结构设计为目的,以几乎实时的方式管理具有大量元素(形式和力图)的相互多面体图的创建和转换。本文还介绍了一种混合的面向对象的数据结构,该结构扩展并概括了先前提出的方法,因此允许用户并入各种不同的几何约束,包括边缘长度和设计初期的支撑位置。此外,引入了一种新的并行处理算法,该算法能够在保留边缘方向和面法线的同时变换多面体图。作为结果,

更新日期:2021-01-29
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