1987•Journal of the Chinese Institute of EngineersRequires access

Equations for helical gears with pinion circular arc teeth and gear involute teeth

Chung‐Biau Tsay

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Abstract

In this paper, the theory of gearing and the concept of differential geometry have been applied to derive equations for helical gears with pinion circular arc teeth and gear screw involute teeth. The paper covers: (a) generation of conjugate gear tooth surfaces with localized bearing contact; and (b) derivation of equations for gear tooth surfaces and their unit normals.

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What this paper is about

In this paper, the theory of gearing and the concept of differential geometry have been applied to derive equations for helical gears with pinion circular arc teeth and gear screw involute teeth. The paper covers: (a) generation of conjugate gear tooth surfaces with localized bearing contact; and (b) derivation of equations for gear tooth surfaces and their unit normals.

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OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper, the theory of gearing and the concept of differential geometry have been applied to derive equations for helical gears with pinion circular arc teeth and gear screw involute teeth. The paper covers: (a) generation of conjugate gear tooth surfaces with localized bearing contact; and (b) derivation of equations for gear tooth surfaces and their unit normals.

Key concepts: Pinion, Involute, Involute gear, Cycloid gear, Spiral bevel gear, Bearing (navigation), Arc (geometry), Structural engineering

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