Matlab scripts are available in : Vibrationdata Signal Analysis Package for the following functions:
1. Balancing a rotor with single speed, balancing plane and measurement location
2. Balancing a rotor with options for multiple speeds, balancing planes, and measurement locations
3. Calculating the rotating unbalance force from an eccentric mass & SDOF response
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Here are some related papers:
Machine Mounting for Vibration Attenuation
An Introduction to Rotating Unbalance
An Introduction to Vibration Technology
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See also:
FFT for Machine and Pump Diagnostics & Acceptance Evaluation
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– Tom Irvine