Why do we use RMS in vibration? Why RMS velocity is important?
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Consider a spring mass system as shown in the figure, excited by a harmonic force (sinusoidal). Then its response also will be in harmonic nature.
(Zero to Peak) Displacement of the system is given by
The Peak Velocity is time derivative of displacement,
Kinetic energy of the signal is represented by
Since Root Mean Square (RMS) Velocity represents the energy content of the signal, it is preferred over the peak velocity to measure the vibration amplitude.