Extension of the Euler-Savary Equation to Hypoid Gears

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概要

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• rights: 本文データは社団法人日本機械学会の許諾に基づきCiNiiから複製したものであるThe Euler-Savary equation is the most fundamental relationship used to determine the relative curvature of a two-dimensional tooth profile which corresponds to relative motion.In this paper, the necessary conditions for gearing were analyzed, when a pair of tooth surfaces mesh continuously with a contact line and the basic relationships between tooth surfaces and their relative motion were derived mathematically.In addition, the relative normal curvature and the geodesic torsion of the tooth surfaces and relative motion were shown to be related to hypoid gears, and the Euler-Savary law was extended to the equation of three-dimensional tooth surfaces for the most general form of gearign.

• 一般社団法人日本機械学会の論文
• 1999-03-15

著者

• ITO Norio

  Faculty of Engineering, Toyama University

• Ito Norio

  Faculty Of Engineering Toyama University

• TAKAHASHI Koichi

  Takahashi Hypoid Technical Research Institute

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• Extension of the Euler-Savary Equation to Hypoid Gears

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