is a gear that resembles a screw. It is a species of helical gear, but
its helix angle is usually somewhat large (ie., somewhat close to 90
degrees) and its body is usually fairly long in the axial direction; and it
is these attributes which give it its screw like qualities. A worm is
usually meshed with an ordinary looking, disk-shaped gear, which is called
the "gear", the "wheel", the "worm gear", or the "worm wheel". The prime
feature of a worm-and-gear set is that it allows the attainment of a high
gear ratio with few parts, in a small space. Helical gears are, in practice,
limited to gear ratios of 10:1 and under; worm gear sets commonly have gear
ratios between 10:1 and 100:1, and occasionally 500:1. In worm-and-gear
sets, because the worm's helix angle is large, the sliding action between
teeth is considerable, and the resulting frictional loss causes the
efficiency of the drive to be usually less than 90 percent, sometimes less
than 50 percent.
The distinction between a worm and a helical gear is made when at least
one tooth persists for a full 360 degree turn around the helix. If this
occurs, it is a 'worm'; if not, it is a 'helical gear'. A worm may have as
few as one tooth. If that tooth persists for several turns around the helix,
the worm will appear, superficially, to have more than one tooth, but what
one in fact sees is the same tooth reappearing at intervals along the length
of the worm. The usual screw nomenclature applies: a one-toothed worm is
called "single thread" or "single start"; a worm with more than one tooth is
called "multiple thread" or "multiple start".
We should note that the helix angle of a worm is not usually specified.
Instead, the lead angle, which is equal to 90 degrees minus the helix angle,
is given.
In a worm-and-gear set, the worm can always drive the gear. However, if
the gear attempts to drive the worm, it may or may not succeed. Particularly
if the lead angle is small, the gear's teeth may simply lock against the
worm's teeth, because the force component circumferential to the worm is not
sufficient to overcome friction. Whether this will happen depends on a
function of several parameters; however, an approximate rule is that if the
tangent of the lead angle is greater than the coefficient of friction, the
gear will not lock. Worm-and-gear sets that do lock in the above manner are
called "self locking". The self locking feature can be an advantage, as for
instance when it is desired to set the position of a mechanism by turning
the worm and then have the mechanism hold that position. Tuning gears on
stringed musical instruments work that way.
If the gear in a worm-and-gear set is an ordinary helical gear only point
contact between teeth will be achieved. If medium to high power transmission
is desired, the tooth shape of the gear is modified to achieve more intimate
contact with the worm thread. A noticeable feature of most such gears is
that the tooth tops are concave, so that the gear partly envelopes the worm.
A further development is to make the worm concave (viewed from the side,
perprndicular to its axis) so that it partly envelopes the gear as well;
this is called a cone-drive or Hindley worm.