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8/19/2019 notes_ch.11.1b_tooth_modification.pdf
1/2
Traian CICONE MEM 2005-2006
Cap. 9 GEARS 26.06.06 1
11.3.1. Gear modification
Gear modification includes any change of the standard geometry of a gear introduced to agree with
technological or functional requirements as well as to improve gear operating performance characteristics. There
are many ways to modify a gear which can be included into two categories: (a) face modification affecting the
profile in any axial cross-section respectively (b) axial modification (which affects the profile along the teeth).
The most important axial modification is gear bulging that makes barrel teeth, gear crowning or gear end relief.
gear axial direction
end relief crowning
Face modification changes the tooth profile but it will be still the same in any axial cross-section. It can be
divided, at its turn, into two main categories:
(a1) modifications induced by rack modification, which includes any change in standard rack dimensions: pressure angle, α 0, addendum, h0 f , bottom clearance, c0, or tip relief
1.
(a2) modifications made without changing standard rack include: profile shifting , tooth addendum shortening, or
some other manufacturing procedures.
Gear modifications are made for the following reasons:
(1)
to agree with design restrictions like: a given distance between axes (usually a standard value) or to
accomodate within a given overall dimensions
(2) to improve performance characteristics like
(a)
smooth and quiet operation by increasing the contact ratio,
(b)
uniform repartition of the load on the tooth
(c) increased efficiency and reduced wear by diminishing the relative sliding velocity
(d)
increased strength for contact and bending stresses
(e)
improve lubrication conditions
Gear profile shifting (or simply gear shifting )is the most efficient gear modification to improve gear
performances which does not require a modified rack. Gear shifting is made by changing the relative position of
the generating rack in respect with the blank, by shifting the rack radially (Fig. ). An unshifted tooth (or
unshifted gear ) is generated with the rack axis tangent to the gear reference diameter (pitch diameter). A
positive shifted gear (“plus” gear ) is cut with the rack outwardly shifted, whilst a negative (“minus” gear ) is
cut with a inwardly shifted rack. The amount of shifting is defined by the “shifting coefficient”, x, times themodule.
Correspondingly if shifted gears are included in a gear set, we have shifted gear set which can be (Fig. 11.X):
(a) positive shifted gear set x= x1+ x2 >0
(b) negative shifted gear set x= x1+ x2
8/19/2019 notes_ch.11.1b_tooth_modification.pdf
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Traian CICONE MEM 2005-2006
Cap. 9 GEARS 26.06.06 2
(b)
increased radius of curvature that gives improved strength at contact
(c) the possibility to avoid undercutting for gears with small numbers of teeth ( z 0 – pozitive shifted gear x < 0 – negative shifted gear x = 0 – unshifted gear
Fig. 11.X. Gear shifting
pitch circle
ase circle
Fig. 11.Y. Undercut tooth