Indian Textile Accessories and Machinery Manufacturers Association

Journal of Textile Science & Engineering

Analytical method using gamma functions for determining areas of power elliptical shapes for use in geometrical textile models

Abstract

Author(s): F. Gommer a1, L.P. Brown2, K.C.A. Wedgwood3

Textile models are often assumed to have homogenous and well defined cross-sections. For these models, the use of a power elliptical cross-sectional shape has been found to be beneficial as different shapes can be created, e.g. lenticular, elliptical or rectangular, with a single function. The cross-sectional area of a power ellipse is usually determined numerically as the analytical determination of the cross-sectional area is not straightforward. This short communication presents an analytical solution for this shape.