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    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 

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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