8.11.1. Response vs Frequency Ratio

Try these first

1. 1.

   What occurs when the forcing frequency matches the natural frequency?

   Hint

   Think of what happens in music when two notes are in sync.

2. 2.

   How does damping affect the response vs frequency ratio?

   Hint

   Consider how cushioning affects sound.

3. 3.

   What does the response vs frequency ratio graph represent?

   • Structural safety
   • Material properties
   • Vibrational behavior
   • Load conditions

   Hint

   Focus on what behavior is captured by the ratio.

4. 4.

   True or False: High damping narrows the peaks of the response vs frequency ratio.

   • True
   • False

   Hint

   Remember how damping affects oscillation.

5. 5.

   A bridge is designed with a natural frequency of 2 Hz. Calculate the response if the forcing frequency is 2 Hz and the damping ratio is low.

   Hint

   Focus on the relationship between frequency and response.

6. 6.

   Discuss how utilizing tuned mass dampers can help a building withstand harmonic forces effectively.

   Hint

   Think about how energy dissipation aids stability.