Simulation of a Statically Draped Shape for Formation Capability with Given Number of Nodes

Abstract

Many authors have predicted a three-dimensional shape of a garment when the mechanical properties of the cloth and the shape of the paper pattern are given as parameters. In contrast, we tried to predict the parameters from a given shape of a garment. To simplify the problem, a statically draped shape was adopted as the given shape of the garment. Furthermore, for mechanical properties it was assumed that the bending stiffness is isotropic and that the other properties are constant. Due to these restrictions the unknowns of the prediction were reduce to two parameters： bending length and pendant length. The bending length is the cube root of bend rigidity divided by weight. Previous studies indicated that bending length is the most important material characteristic related to drape shape. The radius of the support stand was fixed, and 15 different bending lengths and 3 pendant lengths were used with reference to the values of real cloths. The initial shape with 3 different node numbers from 8,12,16 was used for the simulations (total, 135), and stability was evaluated for the number of nodes. The results confirmed the multi-stability phenomenon. The number of nodes, which is an important feature of a draped shape, was given and many simulations of statically draped shapes were executed with a wide variety of the two parameters. We were able to identify the domain of the parameters capable of forming each shape with its given number of nodes. However, in some areas, the capable domains for certain numbers of nodes overlapped with other domain. In addition, each capable domain was divided into two sub-domains by observation of whether the nodes were in contact with each other.