Why amplitude and velocity resonance occur at different frequencies in damped oscillation

[Abir Sarkar]

Question about Damped Simple Harmonic Oscillation !?

Under appreciable damping , Why amplitude resonance and Velocity resonance occurs at slightly different frequencies ?

- Abir Sarkar

 

[Spinnor]

Under appreciable damping , Why amplitude resonance and Velocity resonance occurs at slightly different frequencies ?

- Abir Sarkar

Say we have a damped system driven at some frequency. The amplitude will be some smooth function of frequency. At max amplitude the slope of the function will be zero. Increase the function slightly, the amplitude does not change (much) but because the frequency is greater the velocity will be greater. The maximum will occur at different frequencies.

Does that seem to make sense? %^)