Background
Natural frequency is the frequency at which a system naturally vibrates once it has been set into motion. In other words, natural frequency is the number of times a system will oscillate (move back and forth) between its original position and its displaced position, if there is no outside interference. For example, consider a simple beam fixed at one end and having a mass attached to its free end, as shown in Figure 1. If the beam tip is pulled downward, then released, the beam will oscillate at its natural frequency.
learning basic about it at: www.cs.wright.edu/resonance.pdf
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