# Den Hartog criteria

1. Dec 9, 2014

### Dustinsfl

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

2. Dec 9, 2014

3. Dec 9, 2014

### Dustinsfl

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?

4. Dec 9, 2014

### Staff: Mentor

Look at figure 1, it shows M and m are distinct masses so M is not in fact M+m

5. Dec 9, 2014

### Dustinsfl

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 $\omega = 183.26$.