How to recover frequency and damping coefficient from superposition of damped oscillators?

1. How do you find the damping coefficient of a damper?
2. How do you find the damping ratio in FRF?
3. Which of the following methods is used to find out damping coefficient in free vibration?

How do you find the damping coefficient of a damper?

The critical damping coefficient (c_c) is twice the product of the mass (m) and natural frequency (ω_n) of the oscillating object: c_c = 2mω_n. So, find the product of the mass and natural frequency and multiply it by 2 to obtain the critical damping coefficient.

How do you find the damping ratio in FRF?

The “quality factor” (also known as “damping factor”) or “Q” is found by the equation Q = f0/(f2-f1), where: f0 = frequency of resonant peak in Hertz. f2 = frequency value, in Hertz, 3 dB down from peak value, higher than f0. f1 = frequency value, in Hertz, 3 dB down from peak value, lower than f0.

Which of the following methods is used to find out damping coefficient in free vibration?

By simply using a curve fitting technique you can estimate the damping ratio.