A rotor-shaft system consisting (Figure P4.9) of torsional stiffness \(k_{1}\) and mass-moment of inertia \(J_{1}\) is subjected to a sinusoidal torque with magnitude \(1.3 \mathrm{kN}\)-meter. When the excitation frequency equals \(80 \mathrm{~Hz}\), there is a large amount of vibration.

Figure P4.9 

Design an optimally damped vibration absorber. Determine the amplitudes of both rotors as a function of excitation frequencies.

Transcribed Image Text:

J2 k2 k1 Torque Vibration absorber