双弯曲板成型与定制的狭缝

Jonas Mertens, Valentine Troi, Rupert Maleczek
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引用次数: 1

摘要

在这篇文章中,作者展示并讨论了一种方法,该方法可以根据在薄片上切割的定制狭缝,将材料的平面薄片形成希望的三维状态。特别研究了一种称为Kerf的方法。由于目前的方法都是使用直线或正交交叉结构的边界间的狭缝网格,作者提出了一种基于曲面曲率的狭缝网格方法。定制的狭缝可以是直的,也可以是弯的,不能从边沿到边沿。根据曲率的不同,这些狭缝可以交叉。该方法适用于可展面,但对不可展面有很强的局限性。作者将解释他们的方法,分析给定的目标表面的曲率,并在曲面的二维发展上产生光滑平面曲线的狭缝图案。该模式涉及一个物理狭缝,该狭缝将被关闭,直到上部间隙关闭。闭合间隙的角度定义了一个目标角。本文所描述的狭缝具有恒定的角度和恒定的深度。但可以有不同的横截面,即V形和u形。本文重点研究了裂缝的几何生成,并对一些结果进行了展示和分析。由于调查是在建筑的背景下进行的,作者主要考虑的是纯几何方法,而不是考虑不同的物理材料特性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Double Curved Panel Forming With Bespoke Slits
In this publication, the authors show and discuss a method, that allows the forming of flat sheets of material to a wished three-dimensional state, based on bespoke slits cut into the sheet. Especially a method known as Kerf is investigated. As current methods are using a grid of slits from border to border in linear or orthogonal crossing configuration, the authors are presenting a method with slits based on surface curvature. The bespoke slits can be straight or curved and must not be from border to border of the sheet-material. Depending on the curvature, the slits can cross. The method is applicable for developable and with strong limitations for non-developable surfaces. The authors will explain their method that analyses a given target surface’s curvature and generates a slit pattern of smooth planar curves on a 2D development of Surfaces. The pattern relates a physical slit, that will be closed until the upper gap is closed. The Angle of the closed gap defines a target angle. In this paper the described slits have a constant angle and a constant depth. but can have different cross sections namely a V- and U-shaped one. The paper focuses on the geometric generation of the slits and will show and analyze some results. As the investigation is done in the context of architecture, the authors are mainly considering a pure geometric approach that is not taking into account different physical material properties.
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