Smooth cutting pattern generation technique for membrane structures using geodesic line on subplane and spline interpolation

Abstract

Practical techniques for smooth geodesic patterning of membrane structures were investigated. For the geodesic search, adjustment of the subplane of the extracted elements series was proposed, and various spline approximation methods were used to flatten the strip for the generation of a smooth pattern. This search approach is very simple, and the geodesic line could be easily attained by the proposed method without the need for a difficult computation method. Smooth cutting patterning can also be generated by spline approximation without the noise in discrete nodal information. Additionally, the geodesic cutting pattern saved about 21% of the required area for the catenary model due to the reduction of the curvature of the planar pattern seam line.

Keywords

membrane structures / cutting pattern generation / geodesic line / spline interpolation / triangular mesh / sub-plane

References

[1] WakefieldD S. Engineering analysis of tension structures: Theory and practice [J]. Engineering Structures, 1999, 21: 680-690

[2] KimJ Y, LeeJ B. A new technique for optimum cutting pattern generation of membrane structures [J]. Engineering Structures, 2002, 24: 745-756

[3] MoncrieffE, ToppingB H V. Computer method for the generation of membrane cutting patterns [J]. Computer & Structures, 1990, 37(4): 441-450

[4] OngC F, WakefieldD S, BarnesM R. Interactive graphic CAD for tension structures [J]. Computers & Structures, 1991, 41(6): 1305-1312

[5] GründigL, EkertL, MoncrieffE. Geodesic and semi-geodesic line algorithms for cutting pattern generation of architectural textile structures [C]. Proceedings of Asia-Pacific Conference on Shell and Spatial Structures, 1996BeijingAPCSSS435-443

[6] BarnesM R. Form finding and analysis of tension structures by dynamic relaxation [J]. International Journal of Space Structures, 1999, 14(2): 89-104

[7] IshiiK. Form finding analysis in consideration of cutting pattern of membrane structures [J]. International Journal of Space Structures, 1999, 14(2): 105-119

[8] TabarrokB, QinZ. Form finding and cutting pattern generation for fabric tension structures [J]. Computer-Aided Civil and Infrastructure Engineering, 1993, 8(5): 377-384

[9] PhelanD G, HaberR B. An integrated design method for cable-reinforced membrane structures, Shells, Membranes and Spaces frames [C]. Proc IASS Symposium, 1986OsakaIASS119-125

[10] TsubotaH, YoshidaA. Theoretical analysis of determining optimum cutting patterns for membrane structures [C]. Proc IASS Symposium, 198911-15

[11] YagiT, OhmoriH. A new approach for cutting pattern analysis of membrane structures [C]. Proceedings of the IASS-LAS98 Conference, 1998SydneyIASS895-910

[12] XiaX, MeekJ L. Computer cutting pattern generation of membrane structures [J]. International Journal of Space Structures, 2000, 15(2): 95-110

[13] XuX, GuanF. A new method of cutting pattern [J]. International Journal of Space Structures, 2004, 19(2): 103-107

[14] AhnS G, ShonS D, KimS D. A Study on cutting pattern generation of membrane structures by using geodesic line [C]. Proceedings of the Korean Association for Shell and Spatial Structures Symposium, 2005KoreaKASSSS125-132