Modeling method for cylindrical gear of straight tooth or helical tooth
A technology of helical spur gears and standard involutes is applied in the modeling field of standard involute spur gears or helical spur gears, and can solve the problems of complicated and cumbersome work and cannot be applied to spur gears with cycloidal spurs or helical gears. Modeling, difficult to grasp, etc.
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[0042] The first embodiment of the present invention is a modeling method of a standard involute spur gear, which includes the following steps:
[0043] (1) Create the parametric sketch module of the tooth profile curve, and select the following parametric equations to complete the drawing of the closed sketch of the gear tooth:
[0044]
[0045]
[0046] z=u+lcosγ
[0047] in,
[0048]
[0049] cosγ=tanβcosα,
[0050] cos λ = cos α sin γ ,
[0051]
[0052] u = r tan β θ ,
[0053]
[0054] Take α=λ=20°, β=θ=0, γ=π / 2, Simplified to:
[0055]
[0056]
[0057] z=u
[0058] x- the abscissa of a point on the tooth surface; y- the ordinate of a point on the tooth surface;
[0059] z- the axial c...
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