The frequency transfer function for a simple oscillator is given by
(a) If a harmonic excitation u(t) = a cos ωnt is applied to this system what is the steady-state response?
(b) What is the magnitude of the resonant peak?
(c) Using your answers to parts (a) and (b) suggest a method to measure damping in a mechanical system.
(d) At what excitation frequency is the response amplitude maximum under steady state conditions?
(e) Determine an approximate expression for the half-power (3 dB) bandwidth at low damping. Using this result, suggest an alternative method for the damping measurement