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.

摘要

任意拉格朗日-欧拉 (ALE) 方法的应用用于生成膜结构的切割图案形状。初始图案化面板被选为三维 (3D) 膜面板的投影，并假定为参考配置。虽然拉格朗日位移定义了从该配置到 3D 配置的强制位移，但欧拉项描述了从该参考配置到当前图案化面板的运动。考虑到规定的预应力和材料特性的影响，可以通过该过程确定切割图案面板。通过几个例子来指出所提出的方法在简化切割图案过程和减少与预期预应力的应力偏差方面的有效性。