Forced Vibration: Amplitude Of Vibration Changes Periodically?

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In summary, forced vibration refers to a steady vibration frequency being applied, resulting in a periodic change in amplitude of the displacement function. The maximum amplitude is reached over time and then decays exponentially when the excitation is removed. There is no change in frequency except for a possible small 'ringing' effect.
  • #1
roshan2004
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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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  • #2
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.
 
  • #3
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.
 
  • #4
So, does it decays exponentially then... ( I mean amplitude of the forced vibration)
 
  • #5
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.
 

Related to Forced Vibration: Amplitude Of Vibration Changes Periodically?

1. What is forced vibration?

Forced vibration is a type of vibration that occurs when a system is subjected to an external force or input. This force can be periodic, such as a regular oscillation, or non-periodic, such as a random or impulsive force.

2. How does forced vibration differ from natural vibration?

Natural vibration occurs when a system is disturbed from its equilibrium position and vibrates at its natural frequency. Forced vibration, on the other hand, is caused by an external force acting on the system, which may not necessarily be at the system's natural frequency.

3. What factors affect the amplitude of forced vibration?

The amplitude of forced vibration is affected by several factors, including the magnitude and frequency of the external force, the stiffness and damping of the system, and the system's natural frequency. Additionally, the location of the force application and any resonance effects can also impact the amplitude of forced vibration.

4. How does the amplitude of forced vibration change periodically?

The amplitude of forced vibration can change periodically due to the frequency of the external force. This is known as amplitude modulation, where the amplitude of vibration increases and decreases periodically in response to the varying frequency of the external force.

5. What are some real-world applications of forced vibration?

Forced vibration is commonly seen in engineering and structural systems, such as bridges, buildings, and aircraft, where external forces can cause vibrations. It is also used in musical instruments, such as guitars and violins, where the strings are plucked or strummed to create forced vibrations at specific frequencies.

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