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Abstract:
Limacon gear is a new kind of gear whose pitch-curve varies in cosine
rule. In order to select the proper cutting method and cutter and
realize different CNC processing methods, theoretical analysis
calculation and simulation are done. According to the formula of the new
kind of gear’s radius of pitch-curve cavature, pitch-curve’s convex and
concave discriminants are given; According to the distribution
disciplinarian of the gear’s normal on the pitch-curve, the equations of
the gear’s tooth evolute are set up by analytic method; By the geometry
relation between the vector of a point on tooth and the vector of the
corresponding point on pitch-curve, the equations of the gear tooth are
deduced from the equations of the pitch-curve. Based on above, the
graphics simulation of the evolute and tooth are finished, which
provides theory basis for this new kind of gears. Gears based on these
theories have been used in practice and achieved good results.
Key words:Non-circular
gear Pitch-curve Convex-concave Evolutes Tooth-profile
Gear making
CLC No: TH132.424
Received 20051117,
received in revised form 20060220
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