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Free vibration of a structure means vibration

  • A.under the action of the structure's own self weight alone
  • B.in which the amplitude stays constant for ever
  • C.after an initial disturbance with no further force applied
  • D.under a harmonic force applied continuously at the natural frequency

Answer: C

Correct answer: after an initial disturbance with no further force applied

Free vibration is the motion that follows an initial displacement or velocity once the disturbance is removed, so \( p(t) = 0 \) and the structure oscillates at its own natural frequency.

Damping causes the amplitude to decay, which is what a logarithmic decrement measurement exploits, so constant amplitude describes only the idealised undamped case. Self weight is a static load producing no oscillation, and a continuously applied harmonic force is forced vibration by definition.

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