Pole Magnitude and Damping Ratio relationship

1. What happens when damping ratio increases?
2. What does damping ratio depend on?
3. How do you calculate pole damping ratio?
4. What happens when damping ratio decreases?

What happens when damping ratio increases?

As the damping increases, so the oscillations become damped out and with a damping factor of 1.0 there are no oscillations and the output just rises over time to the steady state output value. Further increases in damping mean that the output takes longer to reach the steady state value.

What does damping ratio depend on?

He wrote that, in the case of 1 degree of freedom system, damping ratio depends on mass and damping ratio, therefore, it is defined as damping characteristic of a vibration system.

How do you calculate pole damping ratio?

The distance of the pole from the origin in the s-plane is the undamped natural frequency ωn. The damping ratio is given by ζ = cos (θ).

What happens when damping ratio decreases?

As we move towards lower damping, the amount of oscillation reduces, but if damping decreases sufficiently, the size of the oscillation increases again.