Fundamentals of Vibration
a: A mass suspended vibrates harmonically with an amplitude of 0.001 m and frequency of 10 Hz. Determine the magnitude of the acceleration in m/s² experienced by the mass.
b: If the frequency resolution of a vibration spectrum in the waveform is set at 0.35 Hz. What would be the duration of the signal in seconds produced by the inverse Fourier transform?
c: A SDoF with a mass of 63 kg and the stiffness of 44 kN/m is subjected to an initial displacement what the damping constant (in Ns/m) would need to be so that the peak displacement of the first cycle is 30% that of the initial displacement
d: A SDoF with a mass of 58 kg an da stiffness of 8 kN/m is subjected to an initial displacement. What would be the damping coefficient need to be to make the damping ratio 0.45
e: The wheel of a vehicle with an outside diameter of 0.65m has a small residual imbalance. Calculate the frequency of resulting a vibration in RPM. If the vehicle is travelling at 70 km/hr