The optimisation of internal gears

• Published in: International journal of machine tools & manufacture Vol. 27; no. 4; pp. 491 - 504
• Main Authors: Tong, B.S., Walton, D.
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 1987; Elsevier
• Subjects: Applied sciences; Drives; Exact sciences and technology; Gears; Mechanical engineering. Machine design; Design; Spur tooth; Internal gear; Gear drive; Helical tooth; Spur gear
• ISSN: 0890-6955; 1879-2170
• DOI: 10.1016/S0890-6955(87)80021-4

The design of a pair of internal spur on helical gears is treated with the objective of minimising the centre distance or gear volume for a given specification. The designs obtained satisfy all the necessary conditions for kinematic limits on contact ratio, interference and gear ratio tolerance and meet strength and wear criteria according to the design standard selected. A set of design variables are defined in terms of the number of pinion and annulus teeth and the module. The objective functions of minimum centre distance and volume are expressed. Some special search strategies named ‘belt zone search’ and ‘half section algorithm’ are presented in order to solve the problems of a discrete number of variables and to reduce the calculation time. The effects of tolerances placed on the design specification and the influence of acceptable facewidth limits on the optimum results are described.