The formula to calculate the Number of Oscillations is:
\[ n = \frac{ts \cdot \omega_d}{2 \pi} \]
Number of Oscillations is the frequency of oscillation in one time unit, say in a second. Setting Time is the time required for a response to become steady. Damped Natural Frequency is a particular frequency at which if a resonant mechanical structure is set in motion and left to its own devices, it will continue oscillating at a particular frequency.
Let's assume the following values:
Using the formula:
\[ n = \frac{1.748 \cdot 22.88}{2 \pi} = 6.3652809912036 \]
| Setting Time (ts) | Damped Natural Frequency (ωd) | Number of Oscillations (n) |
|---|---|---|
| 1 | 22.88 | 3.641465097942565 |
| 2 | 22.88 | 7.282930195885131 |
| 3 | 22.88 | 10.924395293827697 |
| 4 | 22.88 | 14.565860391770261 |
| 5 | 22.88 | 18.207325489712826 |