32.3. Response of SDOF Systems to Earthquake Motion

Try these first

1. 1.

   What is natural frequency?

   Hint

   Think about how things naturally move.

2. 2.

   What does damping do to a vibrating system?

   Hint

   How do you slow a swing down?

3. 3.

   What is the purpose of using Duhamel's Integral?

   • To analyze free vibrations
   • To calculate forced vibrations
   • To determine damping ratios

   Hint

   Focus on the type of vibration being analyzed.

4. 4.

   True or False: Elastic response spectra are used for structures undergoing plastic deformation.

   • True
   • False

   Hint

   Think about how structures behave under stress.

5. 5.

   An SDOF system has a natural frequency of 3 Hz, and its damping ratio is 0.05. If it experiences earthquake ground motion with a peak acceleration of 2g, calculate the expected peak response using the response spectrum.

   Hint

   Use appropriate response spectrum formulas based on the provided values.

6. 6.

   A building designed as an SDOF system is found to exhibit inelastic behavior during an earthquake. Discuss the implications of this on the design spectrum and propose design alterations.

   Hint

   Think about how construction might need to adapt to changing dynamics.