Automated Construction of Lattice Profiles by Ovoid Transformation

This paper discusses the results of profile lattice construction using an analytical method based on ovoid transformation. To implement the proposed mathematical model, an algorithm, and a package of applied subroutines (modules) based on the algorithm, were developed. This study presents basic original calculation dependencies. Analytical and constructive elaborations of the profile include the conversion of ovoid images into profile images, calculation of their geometric characteristics, construction of a midline, and determination of the maximum thickness of the profile, lattice, and interblade channel layout. The proposed mathematical model can be considered an independent system or a subsystem (software module) of computer-aided design.