Computer Simulation of Helical Gears Generated by Rack-Type Cutters
ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, vol.36, no.7, pp.1321-1332, 2011 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 36 Issue: 7
- Publication Date: 2011
- Doi Number: 10.1007/s13369-011-0116-y
- Journal Name: ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.1321-1332
- Istanbul University Affiliated: Yes
Abstract
This paper studies the equations of rack cutters for generating involute gears with asymmetric teeth. The asymmetry means that different pressure angles are applied for the driving and coast sides. By applying the equations of the designed profile of the rack cutter, the principle of coordinate transformation, the theory of differential geometry, and the theory of gearing, the mathematical models of involute helical gear are given. Undercutting analysis is also investigated by considering the relative velocity and equation of meshing. Furthermore, a computer simulation program is developed to generate the tooth profile of asymmetric involute gears and to illustrate the effect of tool geometry on the generated surfaces. A CAD/FEM procedure for finite element modeling of asymmetric gear teeth is presented. This simulation should be helpful in the design and manufacture of asymmetric gears.