Determine the dynamic amplitude of the system if the acceleration amplitude of the base excitation is 0.15 m/s2 and the excitation frequency is (a) 8 Hz and (b) 24 Hz.

 

Precision instruments must be placed on rubber mounts, which act as springs and dampers, to reduce the effects of base vibration. Consider a precision instrument of mass 110 kg mounted on a rubber block. For the entire assembly, the spring stiffness is 250 kN/m and the damping ratio is 0.10. Assume that the base undergoes vibration, and the displacement of the base is expressed as y(t) = Y0sin(ωt). Determine the dynamic amplitude of the system if the acceleration amplitude of the base excitation is 0.15 m/s2 and the excitation frequency is (a) 8 Hz and (b) 24 Hz.

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