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  3. 2 derive the transfer function forfor the dynamic vibration absorber...

Question: 2 derive the transfer function forfor the dynamic vibration absorber...

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2. Derive the transfer function forfor the dynamic vibration absorber shown below as a two mass two spring system. This figure shows a cantilever beam with a generator attached. A spring k, and mass m attached act as a vibration absorber. The cantilever beam and generator are modeled as a spring k and a mass m. The displacements x and x, are measured from the static equilibrium positions when f -0. The generator spins at 60hz. m is 22kg and k is 3.12e6 N/m. The system without the vibration absorber just m and k no k2 and m2) vibrates very badly when the generator is running. Explain why (analytically or numerically). To fix the problem a stiff coil spring is attached to the bottom of the shelf with spring constant k2 -3.12e6 N/m. What value for mass m2 effectivelydampen out the vibration of the generator seen when the generator is running? Explain why (analytically or numerically) m2 m2 la) b)

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