Difference between normal mode frequency and resonant frequency
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Fundamental frequency depends on the modal shape of system i.e different modal shape has different fundamental frequency. Fundamental frequency corresponding to first modal shape is called natural frequency of the system.
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Objects which are free to vibrate will have one or more natural frequency at which they vibrate, If an object is being forced to vibrate at its natural frequency, resonance will occur and you will observe large amplitude vibrations. The resonant frequency is fo.
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