Accelerated algorithm for solids of revolution converting into ribbon by spiral coordinate system

Abstract

The article considering the problem of quick transformation of solids of revolution into raster layer for Roll Powder Sintering (RPS) additive manufacturing technology. The author describes the algorithm for solving this problem. This work is devoted to the development and the validation of the impetuous algorithm for converting the 3D coordinates of a solid of revolution to spiral coordinates. It is based on the assumption that one point on the figure of revolution is predetermined multitude of points in the spiral coordinate system and these can be defined without calculations because of symmetry properties. Such method provides to accelerate the performance of the coordinate conversion thousand fold and real time forming objects 1.5 m3 in volume with layer thickness ~25 μm by non-powerful computers per hour. The proposed algorithm has been extensively tested and proven by numerical examples of several parts of computer aided design models. It is faster than other coordinates transformations and can be extended to the acceleration converting and processing geometry of 3D objects.