Leupold has applied this mechanism to move the pistons of pumps.[5]
Upon the vertical axis of a horizontal hydraulic wheel is fixed another
horizontal wheel, which is furnished with seven teeth in the manner
of a crown wheel (263.). These teeth are shaped like inclined planes,
the intervals between them being equal to the length of the planes.
Projecting arms attached to the piston rods rest upon the crown of this
wheel; and, as it revolves, the inclined surfaces of the teeth, being
forced under the arm, raise the rod upon the principle of the wedge.
To diminish the obstruction arising from friction, the projecting arms
of the piston rods are provided with rollers, which run upon the teeth
of the wheel. In one revolution of the wheel each piston makes as many
ascents and descents as there are teeth.
[5] Theatrum Machinarum, tom. ii. pl. 36. fig. 3.
(317.) Wheel-work furnishes numerous examples of continued circular
motion round one axis, producing continued circular motion round
another. If the axles be in parallel directions, and not too distant,
rotation may be transmitted from one to the other by two spur-wheels
(263.); and the relative velocities may be determined by giving a
corresponding proportion to the diameter of the wheels.
If a rotary motion is to be communicated from one axis to another
parallel to it, and at any considerable distance, it cannot in
practice be accomplished by wheels alone, for their diameters would
be too large. In this case a strap or chain is carried round the
circumferences of both wheels. If they are intended to turn in the same
direction, the strap is arranged as in _fig. 100._; but if in
contrary directions it is crossed, as in _fig. 101._ In this case,
as with toothed wheels, the relative velocities are determined by the
proportion of the diameters of the wheels.
If the axles be distant and not parallel, the cord, by which the motion
is transmitted, must be passed over grooved wheels, or fixed pulleys,
properly placed between the two axles.
It may happen that the strain upon the wheel, to which the motion is to
be transmitted, is too great to allow of a strap or cord being used. In
this case, a shaft extending from the one axis to another, and carrying
two bevelled wheels (263.), will accomplish the object. One of these
bevelled wheels is placed upon the shaft near to, and in connection
with, the wheel from which the motion is to be taken, and the other at
a part of it near to, and in connection with, that wheel to which the
motion is to be conveyed, _fig. 166._
The methods of transmitting rotation from one axis to another
perpendicular to it, by crown and by bevelled wheels, have been
explained in (263.).
The endless screw (299.) is a machine by which a rotatory motion round
one axis may communicate a rotatory motion round another perpendicular
to it. The power revolves round an axis coinciding with the length of
the screw, and the axis of the wheel driven by the screw is at right
angles to this.
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