Mathematical Modelling
of a Helical Gear and Its Corresponding Cutter
Shinn-Liang Chang,
Associate Professor
Department of
Power Mechanical Engineering,
National Huwei
Institute of Technology, Huwei, Yunlin, Taiwan 632, R.O.C.
E-mail address:changsl@sunws.nhit.edu.tw
ABSTRACT
Helical
gears, such as helical involute gears, splines, worm and worm gears, and
so on, are frequently used in the manufacturing industry. In this paper,
the mathematical model of a helical gear was formulated. Its corresponding
cutter profile was then derived based on the coordinate transformation
method and the equation of meshing. A helical spline with straight-sided
normal section was subsequently used as the demonstrative example. The
equations derived in this paper can be easily adopted for designing other
models of helical gears and their corresponding cutters. Therefore, the
proposed modelling method is beneficial to the design, analysis, and manufacture
of helical gears and their manufacturing cutters.
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