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The natural period of a single-degree-of-freedom system increases with

  • A.increasing damping ratio
  • B.increasing ground acceleration
  • C.increasing mass
  • D.increasing stiffness

Answer: C

Correct answer: increasing mass

From \( T = 2\pi\sqrt{m/k} \), the period grows with the square root of the mass and falls with the square root of the stiffness. Damping alters the amplitude of the response but has almost no effect on the period at the small ratios found in buildings, and the ground acceleration is the input rather than a property of the system.

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