On the modeling of cross-section and longitudinal section of pipes

Abstract

This paper deals with the construction of the various inflate-deflate pipe patches with its center curve of a line segment. The construction is formulated by the cross-section, the longitudinal section and the line segment center curve of the pipe patches. The objectives of the research are to model the cross-section curves of the patches by using the polar coordinate, and the longitudinal section of the trigonometry, Bézier, and Hermit curves to enable designing the various models of pipe parts. The study found that some polar formulas and regular polygon sides can evaluate the various cross-section forms of the pipes, and the function cosine, sinus, Bézier and cubic Hermit can draw, respectively, the longitudinal section forms of the pipes. We have tested as well these formulas, and the results show that they are very useful to design the pipes in which its center curves are lines. In the future works, we need to study the pipe modeling with its center curves of space curves.