Computer Simulation of Helical Gears Generated by Rack-Type Cutters

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.

Mathematical model and deviation analysis of machining cutters for internal gears with double contact points

“…Chen et al 19 introduced a principle of profiling milling for linear gears, and proposed a design method for forming milling cutters for internal gears. Fetvaci 20 presented the theoretical model for generating involute internal gear cutters based on gear transmission theory. Wang et al 21 and Zhou et al 22 proposed an accurate measurement method to obtain tooth surface model for digital tooth contact analysis, and it was further applied in the accurate and intelligent machining.…”

Farklı parametrelere sahip evolvent düz dişli çarkların sonlu elemanlar yöntemi ve grafik metot ile gerilme analizi

“…Ayrıca montaj hatalarının dişli çarklarda oluşan statik transmisyon hatalarına etkilerini incelemiştir. Fetvacı [7] pinyon tipi kesici takımla imal edilen iç ve dış dişli çarklarda takım yörünge simülasyonlarını incelemiş ve dişli geometrisini elde etmiştir.…”