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http://dx.doi.org/10.9712/KASS.2012.12.1.109

A Study on Cutting Pattern Generation of Membrane Structures Using Spline Curves  

Shon, Su-Deok (한국기술교육대학교)
Lee, Seung-Jae (한국기술교육대학교 건축공학부)
Publication Information
Journal of Korean Association for Spatial Structures / v.12, no.1, 2012 , pp. 109-119 More about this Journal
Abstract
For membrane structure, there are three main steps in design and construction, which are form finding, statistical load analysis, and cutting patterning. Unlike the first two stages, the step of cutting pattern involves the translation of a double-curved surface in 3D space into a 2D plane with minimal error. For economic reasons, the seam lines of generated cutting patterns rely greatly on the geodesic line. Generally, as searching regions of the seam line are plane elements in the step of shape analysis, the seam line is not a smooth curve, but an irregularly divided straight line. So, it is how we make an irregularly divided straight line a smooth curve that defines the quality of the pattern. Accordingly, in this paper, we analyzed interpolation schemes using spline, and apply these methods to cutting pattern generation on the curved surface. To generate the pattern, three types of spline functions were used, i.e., cubic spline function, B-spline, and least-square spline approximation, and simple model and the catenary-shaped membrane was adopted to examine the result of generation. The result of comparing the approximation curves by the number of elements and the number of extracted nodes of simple model revealed that the seam line for less number of extracted nodes with large number of elements were more efficient, and the least-square spline approximation provided smoother seam line than other methods.
Keywords
Membrane structures; Geodesic line; Cutting pattern; Spline Interpolation; Approximation;
Citations & Related Records
Times Cited By KSCI : 4  (Citation Analysis)
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