10.2. Impulse Response Function

Try these first

1. 1.

   What does the impulse response function represent?

   Hint

   Think about sudden forces applied to systems.

2. 2.

   Define an underdamped system.

   Hint

   Consider how systems behave before settling down.

3. 3.

   What does the impulse response function h(t) represent?

   • Response to unit step
   • Response to unit impulse
   • Response to continuous force

   Hint

   Think about the suddenness of the force applied.

4. 4.

   True or False: An underdamped system does not oscillate.

   • True
   • False

   Hint

   Recall the properties of underdamped systems.

5. 5.

   Given the equation of motion for a damped system, derive the impulse response function.

   Hint

   Consider using properties of Laplace Transforms.

6. 6.

   Analyze a practical engineering system and determine how different damping levels might affect its impulse response.

   Hint

   Consider real-life examples of structures; think about severe vs mild seismic events.