A general finite element model of involute gears

Authors:
Jesper Brauer
Affiliations:
Department of Machine Design, KTH, Brinellvagen 83, Stockholm 10044, Sweden
Venue:
Finite Elements in Analysis and Design
Year:
2004

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Transmission error in anti-backlash conical involute gear transmissions: a global-local FE approach

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Abstract

Involute gears comprise primarily spur gears, helical gears, straight conical involute gears and conical involute gears. Robust and effective parameterised finite element models of involute gears should be based on analytically derived mathematical representations of their shape. In this paper we derive a mathematical description of conical involute gears that is also capable of representing three other types of involute gear. The equations and the intervals for the surface parameters are then used to create a general finite element model of involute gears.