Difference between forcing frequency and natural frequency

AI Thread Summary
Forcing a one-dimensional discrete lattice to vibrate at a specific frequency (w0) influences the vibration frequencies of lattice points, which will not necessarily match the natural frequency. Near the origin, vibrations will closely align with the forcing frequency, while points further away will tend to vibrate at their natural frequencies. The impact of the forcing frequency being in the pass-band or stop-band is significant, as it determines the amplitude and response of the system. If the forcing frequency coincides with a standing wave frequency, resonance effects may occur, amplifying vibrations. Understanding these dynamics is crucial for analyzing wave propagation in discrete systems.
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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