32.3.1. Free Vibration Response

Try these first

1. 1.

   What is the definition of free vibration?

   Hint

   Think about what happens when something is set into motion without anything pushing it.

2. 2.

   What does the damping ratio indicate?

   Hint

   Consider how different materials might affect vibrations.

3. 3.

   What occurs in free vibrations?

   • A. External forces act on the structure
   • B. The structure oscillates after being displaced
   • C. The structure remains at rest

   Hint

   Think about what happens when you push a swing and let go.

4. 4.

   True or False: In an undamped system, the vibrations eventually stop.

   • True
   • False

   Hint

   Consider how a pendulum behaves in a vacuum.

5. 5.

   A structure experiences free vibrations after being disturbed. If its mass is doubled, how does this affect its natural frequency?

   Hint

   Refer to the relationship expressed in the natural frequency formula.

6. 6.

   For a damped system with a damping ratio of 0.5, describe the expected motion behavior compared to critically damped systems.

   Hint

   Consider how oscillations behave differently based on energy dissipation.