BALANCING OF SINGLE CYLINDER ENGINE:
A
single cylinder engine produces three main vibrations. In describing them we
will assume that the cylinder is vertical. Firstly, in an engine with no
balancing counterweights, there would be an enormous vibration produced by the
change in momentum of the piston, gudgeon pin, connecting rod and crankshaft
once every revolution. Nearly all single-cylinder crankshafts incorporate
balancing weights to reduce this. While these weights can balance the
crankshaft completely, they cannot completely balance the motion of the piston,
for two reasons. The first reason is that the balancing weights have horizontal
motion as well as vertical motion, so balancing the purely vertical motion of
the piston by a crankshaft weight adds a horizontal vibration. The second reason
is that, considering now the vertical motion only, the smaller piston end of
the connecting rod (little end) is closer to the larger crankshaft end (big
end) of the connecting rod in mid-stroke than it is at the top or bottom of the
stroke, because of the connecting rod's angle. So during the 180° rotation from
mid-stroke through top-dead-center and back to mid-stroke the minor
contribution to the piston's up/down movement from the connecting rod's change
of angle has the same direction as the major contribution to the piston's
up/down movement from the up/down movement of the crank pin. By contrast,
during the 180° rotation from mid-stroke through bottom-dead-center and back to
mid-stroke the minor contribution to the piston's up/down movement from the connecting
rod's change of angle has the opposite direction of the major contribution to
the piston's up/down movement from the up/down movement of the crank pin. The
piston therefore travels faster in the top half of the cylinder than it does in
the bottom half, while the motion of the crankshaft weights is sinusoidal. The
vertical motion of the piston is therefore not quite the same as that of the
balancing weight, so they can't be made to cancel out completely.
Secondly,
there is a vibration produced by the change in speed and therefore kinetic
energy of the piston. The crankshaft will tend to slow down as the piston
speeds up and absorbs energy, and to speed up again as the piston gives up
energy in slowing down at the top and bottom of the stroke. This vibration has
twice the frequency of the first vibration, and absorbing it is one function of
the flywheel.
Thirdly,
there is a vibration produced by the fact that the engine is only producing
power during the power stroke. In a four-stroke engine this vibration will have
half the frequency of the first vibration, as the cylinder fires once every two
revolutions. In a two -stroke engine, it will have the same frequency as the
first vibration. This vibration is also absorbed by the flywheel.
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