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Solution and Model of Three-dimensional Coordinate of Points on Tooth Surface of Spiral Bevel Gear

Lianhong Zhang

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Abstract

The equation of tooth surface of spiral bevel gear was proposed based on the solving principle of conjugate flexural surfaces and analyses on the machining principle of spiral bevel gears.The solving model of digitized conjugate tooth surfaces of spiral bevel gear also was proposed with the equation of tooth surface of spiral bevel gear and rotary projection principle.The value of three-dimensional coordinate of points on the tooth surface of spiral bevel gear was calculated using the methods of sequential quadratic programming and mixed integer optimization with the optimization design software iSIGHT.The three-dimensional model of points on the tooth surface of spiral bevel gear was set up by MATLAB and Pro/E.It can offer reference to the precision design of spiral bevel gear machine tool.

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What this paper is about

The equation of tooth surface of spiral bevel gear was proposed based on the solving principle of conjugate flexural surfaces and analyses on the machining principle of spiral bevel gears.The solving model of digitized conjugate tooth surfaces of spiral bevel gear also was proposed with the equation of tooth surface of spiral bevel gear and rotary projection principle.The value of three-dimensional coordinate of points on the tooth surface of spiral bevel gear was calculated using the methods of sequential quadratic programming and mixed integer optimization with the optimization design software iSIGHT.The three-dimensional model of points on the tooth surface of spiral bevel gear was set up by MATLAB and Pro/E.It can offer reference to the precision design of spiral bevel gear machine tool.

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Available abstract

The equation of tooth surface of spiral bevel gear was proposed based on the solving principle of conjugate flexural surfaces and analyses on the machining principle of spiral bevel gears.The solving model of digitized conjugate tooth surfaces of spiral bevel gear also was proposed with the equation of tooth surface of spiral bevel gear and rotary projection principle.The value of three-dimensional coordinate of points on the tooth surface of spiral bevel gear was calculated using the methods of sequential quadratic programming and mixed integer optimization with the optimization design software iSIGHT.The three-dimensional model of points on the tooth surface of spiral bevel gear was set up by MATLAB and Pro/E.It can offer reference to the precision design of spiral bevel gear machine tool.

Key concepts: Spiral bevel gear, Bevel gear, Tooth surface, Spiral (railway), Surface (topology), Coordinate system, Engineering, Machining

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Solution and Model of Three-dimensional Coordinate of Points on Tooth Surface of Spiral Bevel Gear — Research Paper | ScholarLens