Difference between forcing frequency and natural frequency

In summary, if a one-dimensional discrete lattice is forced to vibrate at the mass at the origin with a frequency of w0, the lattice points NOT at the origin will vibrate at their natural frequency, which may be close to the forcing frequency near the origin. As you move further away from the forced mass, the lattice points will vibrate at their natural frequency. The difference in forcing frequency being in the pass-band, stop-band, or at a standing wave frequency would affect the amplitude and phase of the vibrations.
  • #1
Freakminer64
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If you force a one-dimensional discrete lattice to vibrate at the mass at the origin sinusoidally with forcing frequency w0, what will the frequency of vibrations be for the lattice points, NOT at the origin ? Will it be the natural frequency ? Or will it be close to the forcing frequency near the origin, but as you move further away from the mass that you are forcing the masses will vibrate at their natural frequency ?

What difference would it make if the forcing freq. was in the pass-band or stop-band or at a standing wave frequency ?
Thanks in advance
 
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So no one can help ?
 
Last edited:

What is the difference between forcing frequency and natural frequency?

The forcing frequency is the frequency at which an external force is applied to a system, while the natural frequency is the frequency at which a system will naturally vibrate without any external force applied.

How do forcing frequency and natural frequency affect a system?

Forcing frequency can cause a system to vibrate and potentially reach a state of resonance, while natural frequency determines the frequency at which a system will vibrate with the greatest amplitude.

Can forcing frequency and natural frequency be the same?

Yes, it is possible for the forcing frequency and natural frequency to be the same. This can occur when an external force is applied at the natural frequency of the system, resulting in resonance.

What happens when forcing frequency and natural frequency are not the same?

When forcing frequency and natural frequency are not the same, the system may experience a beat phenomenon where the amplitude of the vibration varies periodically. This can also lead to destructive interference and cause the system to vibrate with less amplitude.

How can we control the effects of forcing frequency and natural frequency?

The effects of forcing frequency and natural frequency can be controlled by adjusting the external force applied to the system, altering the natural frequency of the system, or by using dampers to reduce the amplitude of vibrations caused by resonance.

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