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IASS-SLTE Symposium 2014: Shells, Membranes and Spatial Structures: Footprints


IASS Symposium 2014

SESSION: Structural Morphology 3: Morphology and Transformables

Between Folding and Bending - buckling from plane to object by 3 predefined points

< Table of Contents for Structural Morphology 3: Morphology and Transformables
  • Proceedings Name: IASS-SLTE Symposium 2014: Shells, Membranes and Spatial Structures: Footprints
  • ISSN: (Electronic Version) 2518-6582
  • Session: Structural Morphology 3: Morphology and Transformables
  • Title: Between Folding and Bending - buckling from plane to object by 3 predefined points
  • Author(s): Günter H. FILZ, Stefan KAINZWALDNER
  • Keywords: (active) bending, selforganized folding, kinematic, lightweight structure, architectural geometry
Abstract
This paper presents investigations on the controlled elastic deformation of thin, planar sheet elements into 3dimensional objects by predefining 3 points on the surface with 1 of these points (M) fixed in space. The shape of the spatial object is basically showing a self-organized, short, curved fold-line with Point M as mid-point of it and a smoothly fading from fold-line to an elastically bent, structurally efficient surface. The sheet element is supposed to have shear-stiff and elastic bending properties. The transition from 2d to 3d and all its effects can easily be simulated in physical experiments with e.g. paper models, which served as reference for further investigations and computer simulation. The elastic sheet responds to geometrical changes caused by counter-directional in-plane-movement of 2 points (A,B), which have equal and symmetrical distance to M by spatial, kinematic and structural effects of the whole element. The elastic sheet buckles out of the plane to resolve a fundamental incompatibility between the new geometry of the predefined points (M,A,B) and the ensuing mechanical stresses. The initially straight line between A and B becomes a sinus-wave-like, spatially meandering curve, which causes extreme kinematic effects like a inclination angles in M in a range of 0 to maximal 152,66°. Vice versa, the shape that arises is a balance between geometrical constraints and the (active) bending energy of the sheet respectively the attempt to relax mechanical stresses by buckling.

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