Geometrical modeling of tubular braided structures overbraiding polygonal prism based on the intersection of surfaces

Abstract

This paper presents a geometrical modeling method for braided structures overbraiding polygonal prism based on the intersection of helical surface and braiding surface. These two kinds of surfaces are abstracted based on the decomposition and re-composition of strand motions. The braiding surface is the composition of axial motion and radial motion and represents the outline of the braided structures. The axial motion and the circumferential motion could compose the helical surfaces, which defines the braiding angle and strand position. The braiding strand could be obtained by the intersection of braiding surface and helical surface. Using the braiding surface transformed from the surface with polygonal prism, the detailed modeling process for braided structures overbraiding regular polygonal prism and the combined structures is introduced based on the SolidWorks® 2013.