1957•Transactions of the Japan Society of Mechanical EngineersOpen access

A Study on the Involute Spur Gear of Different Center in Equal Speed

Shusaku OGINO

Abstract

This paper deals with the special case of internal gearing that the gear ratio is equal to 1 and the pressure angle is π/2. The necessary and sufficient conditions for this gearing are investigated and the problem on maximum or minimum number of teeth are settled in a most general form. Moreover, the method to determine all the revesible gears by giving the number of teeth is given with some numerical examples.

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Key concepts: Spur, Involute, Spur gear, Involute gear, Pressure angle, Gear ratio, Center (category theory), Mathematics