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Homework Help: Den Hartog criteria

  1. Dec 9, 2014 #1

    Dustinsfl

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    1. The problem statement, all variables and given/known data
    I have been searching online but I am unable to find a site that explicitly states the Den Hartog criteria for a tuned mass damper.

    What is the Den Hartog criteria?

    2. Relevant equations


    3. The attempt at a solution
     
    Dustinsfl, Dec 9, 2014
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  3. Dec 9, 2014 #2

    jedishrfu

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    jedishrfu, Dec 9, 2014
  4. Dec 9, 2014 #3

    Dustinsfl

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    It has
    $$
    \mu = m/M
    $$
    Is ##M## total mass of the system prior to the damper or is the total mass plus the damper mass of m?
     
    Dustinsfl, Dec 9, 2014
  5. Dec 9, 2014 #4

    jedishrfu

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    Look at figure 1, it shows M and m are distinct masses so M is not in fact M+m
     
    jedishrfu, Dec 9, 2014
  6. Dec 9, 2014 #5

    Dustinsfl

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    I am not sure on how I would design a tuned mass damper from the paper though. I am trying to design one for a system with ##M = 55## kg and a tuned mass damper weighing ##5.5## kg. The natural frequency of the system is ##\omega_n = 12.061## and the forcing function has ##\omega = 183.26##.
     
    Dustinsfl, Dec 9, 2014
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