Measuring "How Much" In Acceleration Units
The "Acceleration Sinusoid"
vs.
The "Displacement Sinusoid"
Let's see how displacement and acceleration relate to one another at the significant points in the cycle:
  • The bearing is shown here at its maximum displacement of "-X". If you were pushing the bearing housing down to this position, in which direction would the bearing housing be pushing back ?
  • The housing structure in this position will be pushing back in the "+" direction since it is trying to return the bearing to the "at-rest" position. 
  • As mentioned before, the "amplitude" we measure is a combination of many variables but what do we actually measure ?
  • The bearing is achieving a certain peak velocity once per cycle. That velocity is a combination of the amount of movement (displacement) and the time it takes for one complete cycle (from which we calculate frequency). The less time a cycle takes, the higher the frequency of the vibration and the more force it requires to generate a particular peak velocity. In other words, going from 0 velocity to 1 in/sec (25 mm/sec) 1000 times a minute requires a lot less force than doing it 100,000 times per minute. The forces being applied to make that happen may destroy a component before metal fatigue (what velocity is sensitive to) even becomes a factor.
  • That makes acceleration an amplitude unit that is particularly sensitive to the likelihood of a component failing due to the forces being applied to it due to the machine's operation.
  • When either displacement peak is reached, an acceleration peak is reached in the opposite direction.
  • From the moment shown until the '0' position is reached, the acceleration amplitude decreasing.