What is the characteristics of damped natural frequency?
The damped natural frequency is less than the undamped natural frequency, but for many practical cases the damping ratio is relatively small and hence the difference is negligible. Therefore, the damped and undamped description are often dropped when stating the natural frequency. For most structures the level of damping is such that the damped natural frequencies are very nearly equal to the undamped natural frequencies. Thus, if only the natural frequencies of the structure are required, damping can usually be neglected in the analysis. This is a significant simplification. Also, if the response of a structure at a frequency well away from a resonance is required, a similar simplification may be made in the analysis.
How to Calculate Damped Natural Frequency?
Damped Natural Frequency calculator uses Damped Natural Frequency = Natural Frequency of Oscillation*sqrt(1-Damping Ratio^2) to calculate the Damped Natural Frequency, Damped Natural Frequency is defined as a frequency if a resonant mechanical structure is set in motion and left to its own devices, it will continue to oscillate at a particular frequency. Damped Natural Frequency is denoted by ω_{d} symbol.
How to calculate Damped Natural Frequency using this online calculator? To use this online calculator for Damped Natural Frequency, enter Natural Frequency of Oscillation (ω_{n}) & Damping Ratio (ζ) and hit the calculate button. Here is how the Damped Natural Frequency calculation can be explained with given input values -> 22.88471 = 23*sqrt(1-0.1^2).