Forced Vibration: Amplitude Of Vibration Changes Periodically?

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In forced vibration, the amplitude of vibration does not change periodically; rather, it is the displacement that is periodic. The amplitude represents the maximum displacement and is not a periodic function. When a steady vibration frequency is applied, the amplitude grows exponentially until it reaches a maximum, and upon removal of excitation, it decays exponentially. The frequency remains constant during forced vibration, with only minor 'ringing' effects during transitions. Understanding these distinctions is crucial for accurate analysis of forced vibrations.
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In forced vibration, amplitude of vibration changes periodically. Is it right ? I think it is a correct statement, since the amplitude of vibration is a periodic function.
 
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Are you suggesting that you get a 'beat'?
You don't get a beat, just a reduced amplitude of response. The level will depend on the Q of the resonator and the frequency offset.
 
roshan2004 said:
In forced vibration, amplitude of vibration changes periodically. Is it right ? I think it is a correct statement, since the amplitude of vibration is a periodic function.
I think there may be a bit of a terminology confusion here. The displacement is a periodic function in vibration. The amplitude is the maximum displacement, so it is not periodic.
 
So, does it decays exponentially then... ( I mean amplitude of the forced vibration)
 
The term 'forced vibration' means that a steady vibration frequency is applied. The result is a 1/exponential growth in amplitude takes place over time, until a max amplitude is reached. When the exitation is removed, there is an exponential decay in amplitude. There is no change in frequency at any time except for a small possible 'ringing' due to a discontinuity on switch on and switch off. But that is not usually considered.
 
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