Mathematical model for parametric tooth profile of spur gear using line of action

Authors:
Fong Zhang-Hua;Chiang Ta-Wei;Tsay Chieh-Wen
Affiliations:
Department of Mechanical Engineering, National Chung-Cheng University Mig-Hisung, Chia-Yi 621, Taiwan, R.O.C.;Department of Mechanical Engineering, National Chung-Cheng University Mig-Hisung, Chia-Yi 621, Taiwan, R.O.C.;Department of Mechanical Engineering, National Chung-Cheng University Mig-Hisung, Chia-Yi 621, Taiwan, R.O.C.
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2002

Citing 0
Cited 1

The shape of the line of action optimized by means of DWT

WAMUS'06 Proceedings of the 6th WSEAS international conference on Wavelet analysis & multirate systems

Quantified Score

Hi-index	0.98

Visualization

Abstract

A mathematical model for parametric tooth profile of spur gear is proposed by using a given equation of line of action. The line of action usually comprises only simple curves. It will be easier to manipulate the line of action when multisegment tooth profile curves are used. The proposed mathematical model will enhance the freedom of tooth profile design by combining the simple curves into the line of action. The curvature, sliding velocity, contact ratio, and the limitation of undercutting can be derived directly from the equation of line of action. Based on the proposed mathematical model, we can represent both mating tooth profiles by the single parameter of line of action. Therefore, it is easier to study the kinematical characteristics of mating gears with nonstandard tooth profiles by applying the proposed mathematical model.