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A structure whose response to shaking dies away quickly is best described as having

  • A.a relatively low damping ratio and a long natural period
  • B.no mass worth considering in the analysis
  • C.an infinite stiffness in the direction of shaking
  • D.a relatively high damping ratio

Answer: D

Correct answer: a relatively high damping ratio

Damping is the mechanism that removes energy from the system, so the rate of decay measures it directly - which is what a logarithmic decrement calculation exploits.

The other options mistake the cause. Low damping gives slow decay, the opposite of what is described; mass and stiffness together fix the period and the number of cycles per second, but not how quickly the motion dies. A structure with a long period simply oscillates slowly, however fast it decays.

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