a. A pump rotor of total mass 350 kg has an unbalanced mass of 10 kg and can be modelled as asingle degree of freedom system. It is supported on an elastic foundation which has an equivalentstiffness of 2500 N/m and a damping ratio of 0.15. Vibration measurements show that the rotorvibrates with an amplitude of 10 mm at resonance.i.Calculate the radial location (eccentricity e) of the unbalanced mass.Assuming the damping ratio (5) remains constant, calculate the additional mass that isneeds to be added to the rotor uniformly such that the deflection at resonance is reduced by1.80%.

Given values: m=350 kg and X=10 mm,mo=10 kg,k=2500 Nm,ε=0.15 then, ωn =kmωn =2500350ωn =2.673 rads

Answered: im at resonance. n (eccentricity e) of…

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im at resonance. n (eccentricity e) of the unbalanc- tio (C) remains constant, calcula cor uniformly such that the deflect