PS
The math may be over some heads, but look at the graph of output shaft speed variation versus constant input speed over 2pi, which is one complete revolution.
Also, preferred designs are shown, which is the point Roy was illustrating - that the input angle should be the same as the output angle for a shaft with a Hooke joint at each end as in an automotive drive shaft. If your car has an annoying driveline vibration that can be traced to different output/input angles of the driveshaft to the transmissions/axle, raising or lowering the rear of the transmission by shimming the mount may bring the angles close enough to eliminate the vibration.
If the output/input angles are exactly the same, the driveshaft will have a slight sinosoidal component, but it will be cancelled by an equal angle into the drive pinion, so there should be no vibration transmitted through the drivetrain. Some difference in angle is acceptable, but at some point it may cause a noticeable vibration especially if the engine or trans mounts have "sagged" or the rear of the car has been raised or dropped to a significantly different than OE ride height.
Design engineers verify that driveshaft angles are within what is considered to be acceptable limits with layout drawings, but if components like motor/trans mounts degrade and alter driveline angles, or if the car is modified, angles may end up outside acceptable limits, which can cause annoying vibrations or even end up breaking something.
Duke
The math may be over some heads, but look at the graph of output shaft speed variation versus constant input speed over 2pi, which is one complete revolution.
Also, preferred designs are shown, which is the point Roy was illustrating - that the input angle should be the same as the output angle for a shaft with a Hooke joint at each end as in an automotive drive shaft. If your car has an annoying driveline vibration that can be traced to different output/input angles of the driveshaft to the transmissions/axle, raising or lowering the rear of the transmission by shimming the mount may bring the angles close enough to eliminate the vibration.
If the output/input angles are exactly the same, the driveshaft will have a slight sinosoidal component, but it will be cancelled by an equal angle into the drive pinion, so there should be no vibration transmitted through the drivetrain. Some difference in angle is acceptable, but at some point it may cause a noticeable vibration especially if the engine or trans mounts have "sagged" or the rear of the car has been raised or dropped to a significantly different than OE ride height.
Design engineers verify that driveshaft angles are within what is considered to be acceptable limits with layout drawings, but if components like motor/trans mounts degrade and alter driveline angles, or if the car is modified, angles may end up outside acceptable limits, which can cause annoying vibrations or even end up breaking something.
Duke
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