3.9. Engineering Insight: Damping in Vibrations

Try these first

1. 1.

   What is the equation used to determine the damping ratio?

   Hint

   Look for the terms associated with damping coefficient, mass, and stiffness.

2. 2.

   Describe an overdamped system.

   Hint

   Think about how it behaves over time compared to oscillation.

3. 3.

   What does a damping ratio greater than one indicate?

   • Underdamped
   • Overdamped
   • Critically damped

   Hint

   Think about how the system behaves over time.

4. 4.

   True or False: An underdamped system will oscillate before settling down.

   • True
   • False

   Hint

   Recall the definitions of the types of damping.

5. 5.

   A structural engineer is designing a bridge that must withstand heavy wind and potential earthquakes. Analyze the ideal damping ratio they should target and justify your reasoning.

   Hint

   Think about how dynamic forces influence the structure.

6. 6.

   Calculate the damping ratio for a mass-spring system with a damping coefficient of 20 Ns/m, mass of 10 kg, and stiffness of 500 N/m.

   Hint

   Ensure you correctly apply the values in the formula.