A machine having a mass of 80 kg is mounted on springs of total stiffness 877...

A machine having a mass of 80 kg is mounted on springs of total stiffness 877 kN/m with an assumed damping factor of ?=0.25. A piston within the machine has a mass of 1.8 kg. This piston reciprocates with a stroke of 80 mm at a speed of 3000 rpm. The motion of the piston is assumed to be simple harmonic, and parallel to the axis of the springs. Determine the amplitude of the machine vibration resulting from the motion of the piston, and also the phase angle between the motion of the piston and the response of the machine. What will be the amplitude of vibrations:

When ξ=0
When ξ=0.25 and r=1.0

Expert Solution

Soln;

The amplitude of the vibration and phase angle is determined.

genius_generous answered 2 years ago

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