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A dynamic magnification factor less than unity means the dynamic response is

  • A.exactly equal to the static response at all times
  • B.impossible
  • C.smaller than the static response to the same peak force
  • D.larger than the static response by a small margin

Answer: C

Correct answer: smaller than the static response to the same peak force

The magnification factor is the ratio of dynamic to static response, so a value below one means the dynamic response is the smaller.

It is entirely possible and it is what happens at high frequency ratios: when the forcing is much faster than the structure can respond, the mass cannot follow and the amplitude falls away. That is precisely the regime vibration isolation works in, above a frequency ratio of \( \sqrt{2} \), where the transmitted force is less than the applied one.

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