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Homework Help: Engineering Dynamics Problem

  1. Jan 10, 2010 #1
    Vibration - Equation of motion

    Q A machine having a mass of 1500 kg is mounted on supports which provide an effective vertical stiffness of 4.5 MN/m. The machine is subjected to a vertical harmonic force having an amplitude of 200 N at a frequency equivalent to 80% of the natural frequency of the machine on its mounting.
    It is proposed to minimise all the vertical vibrations of the machine by fitting a vibration absorber.

    1. Set up the equations of motion for the combined machine-absorber system and hence obtain an expression for the characteristic equation.

    2. Determine the stiffness and mass of a suitable absorber if the amplitude of the absorber mass is to be limited to 10 mm at the forcing frequency.
     
    Last edited: Jan 10, 2010
  2. jcsd
  3. Jan 10, 2010 #2

    tiny-tim

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    Science Advisor
    Homework Helper

    Hi pradi4u! :wink:

    Show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
     
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