Arbitrary Lagrangian-Eulerian formulations for cutting pattern generation of tensile membrane structures

Abstract

An application of Arbitrary Lagrangian-Eulerian (ALE) method is used to generate the cutting pattern shapes of membrane structures. The initial patterning panels are selected as the projection of three-dimensional (3D) membrane panels and are assumed as the reference configuration. While the Lagrangian displacements define the forced displacements from this configuration to the 3D configuration, the Eulerian terms describe the motion from this reference configuration to the current patterning panels. The cutting pattern panels can be determined by this process considering the effect of prescribed pre-stress and material properties. Several examples are performed to point out the effectiveness of the proposed method on simplifying the cutting pattern process and the reduction in the stress deviation from the intended pre-stress.

Keywords

• ale formulations
• cutting pattern
• chinese hat type
• hp type
• cone type