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Abstract: A profile-shift-modification method for the involute gears
is worked out, in which the modification coefficient varies with the
position of the pitch-lines of gears, and is applied to design
non-circular gear transmission. The model of the generating rack with a
modification shift amount, and the pure-rolling model are set up
separately, and then joined together by using the so-called equation of
mesh, to obtain the mathematical model of tooth profile in the
coordinate system of the gear. According to the feature that the
curvature radius of the pitch-lines of the non-circular gears varies
with the rolling points of the pitch-lines, it is put forward that the
coefficients of profile-shifted-modification are determined by the
pitch-lines. In the end, for the high-order elliptical gears,
fabricating a modification coefficient with cosine function of the
pitch-line position, their teeth profiles described to verify the
correctness of the model.
Key words: Profile-shift-modification Conjugate rack Graphic
simulation Non-circular gear High-order elliptical gears
CLC No: TH132.424
TP391.9
国家留学基金委员会留学资助项目(96862011)和佛山科学技术学院重点科研项目.
Received 20020517, received in revised form 20021128
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