Vibration absorber question

[studentvib2]

Dear all,

Please help me with this interesting question on vibration absorber:



A diesel engine, weighting 3000 N, is supported on a pedestal mount. The engine induces vibration through its pedestal mount at an operating speed of 6000 rpm. Determine the parameters of the vibration absorber what will reduce the vibration when mounted on the pedestal. The magnitude of the exciting force is 250 N, and the amplitude of motion of the absorber mass is to limited to 2 mm.

Would appreciate your revertal soonest!

 

[NateD]

The parameters of the vibration absorber can be determined using a simple harmonic oscillator equation: F = ma (mass x acceleration). The mass of the vibration absorber should be equal to the exciting force (250 N) divided by the maximum acceleration of the vibration absorber (2mm). This gives us a mass of 125 N. Now, the frequency of the vibration absorber can be determined by dividing the operating speed of the engine (6000 rpm) by 2π. This gives us 955.5 rad/s. Finally, the damping coefficient of the vibration absorber can be calculated as follows: damping coefficient = 2 x (mass x frequency) / amplitude of motion. This gives us a damping coefficient of 31.4 Ns/m.Therefore, the parameters of the vibration absorber should be a mass of 125 N, a frequency of 955.5 rad/s, and a damping coefficient of 31.4 Ns/m.