BULETINUL INSTITUTULUI POLITEHNIC DIN IAŞI Publicat de Universitatea Tehnică „Gheorghe Asachi” din Iaşi Volumul 66 (70), Numărul 2, 2020 Secţia CONSTRUCŢII DE MAŞINI AN APPROACH ON SIMULATION OF INVOLUTE TOOTH PROFILE USED ON CYLINDRICAL GEARS BY MIHĂIȚĂ HORODINCĂ “Gheorghe Asachi” Technical University of Iaşi, Faculty of Machine Manufacturing and Industrial Management Received: April 6, 2020 Accepted for publication: June 10, 2020 Abstract. Some results on theoretical approach related by simulation of 2D involute tooth profiles on spur gears, based on rolling of a mobile generating rack around a fixed pitch circle are presented in this paper. A first main approach proves that the geometrical depiction of each generating rack position during rolling can be determined by means of a mathematical model which allows the calculus of Cartesian coordinates for some significant points placed on the rack. The 2D involute tooth profile appears to be the internal envelope bordered by plenty of different equidistant positions of the generating rack during a complete rolling. A second main approach allows the detection of Cartesian coordinates of this internal envelope as the best approximation of 2D involute tooth profile. This paper intends to provide a way for a better understanding of involute tooth profile generation procedure. Keywords: tooth profile; involute; generating rack; simulation. 1. Introduction Gear manufacturing is a major topic in industry due to a large scale utilization of gears for motion transmissions and speed reducers. Commonly the flank gear surface on cylindrical toothed wheels (gears) is described by two Corresponding author: e-mail:
[email protected] 22 Mihăiţă Horodincă orthogonally curves: an involute as flank line (in a transverse plane) and a profile line.