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Abstract: For the pitch-line of a non-circular involute gear being
given, its tooth profile is modeled mathematically by using of a
conjugate rack. According to the generation mechanism of involute gear
tooth profile, if the pitch-line of the conjugate rack is made to roll
slidelessly on the pitch-line of the non-circular gear, profile of the
conjugate rack will generate the profile of the gear. The geometry model
of the conjugate rack and the pure-rolling model of pitch-lines are set
up separately, and then joined together with the so-called equation of
mash, to obtain the mathematical model of tooth profile in the coordinate
system of the non-circular gear. Based on this model, the teeth profiles
of non-circular gears are described by graphic simulation to verify its
correctness and effectiveness. This model can be used to design the
profile of cutter for the non-circular gear, to find the locus of cutter
during machining, and to analyze the teeth strength of non-circular
gears, etc.
Key words: Non-circular gear Profile of tooth Conjugate rack Pure
rolling Equation of mesh Coordinate transformation Graphic
simulation
CLC No: TH132
TP391
国家留学基金(96862011)和佛山科学技术学院重点科研资助项目.
Received 20010320, received in revised form 20010910
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