Some principles of mathematical modelling and computer synthesis of hyperboloid gears with a conjugate linear tooth contact

Abstract

The study is dedicated to the applied in Bulgaria principles for designing mathematical models, oriented to the basic and optimization synthesis of gear sets with skewed axes. There are shown two types of models: mathematical model for synthesis upon a pitch contact point and mathematical model for synthesis upon a mesh region. The accent in this study is on the methodology of the constructing a computer programs for synthesis upon a pitch contact point, and also on it content. In the end of this study are shown illustrations of Spiroid and Helicon gear sets which are dedicated to be implemented in a construction of the robot hand, created in the Department of Mechanical Engineers at Gifu University.