The formula to calculate the Damping Ratio or Damping Factor is:
\[ \zeta = \frac{c}{2 \sqrt{m \cdot K_{spring}}} \]
Damping Ratio in a control system is defined as the ratio with which any signal gets decayed. Damping Coefficient is a material property that indicates whether a material will bounce back or return energy to a system. Mass is defined as the force exerted by an object due to the effect of gravity on any surface. Spring Constant is the displacement of the spring from its equilibrium position.
Let's assume the following values:
Using the formula:
\[ \zeta = \frac{16}{2 \sqrt{35.45 \cdot 51}} = 0.188146775281754 \]
| Damping Coefficient (c) | Mass (m) | Spring Constant (Kspring) | Damping Ratio (ζ) |
|---|---|---|---|
| 10 | 35.45 | 51 | 0.117591734551096 |
| 12 | 35.45 | 51 | 0.141110081461315 |
| 14 | 35.45 | 51 | 0.164628428371535 |
| 16 | 35.45 | 51 | 0.188146775281754 |
| 18 | 35.45 | 51 | 0.211665122191973 |
| 20 | 35.45 | 51 | 0.235183469102192 |