9.10. Graphical Interpretation of Impulse Response

Try these first

1. 1.

   What is an impulse response function?

   Hint

   Think about how a quick push affects an object.

2. 2.

   What shape does the graph of an undamped system typically take?

   Hint

   Consider how a pendulum swings.

3. 3.

   What characterizes an undamped system?

   • It oscillates indefinitely
   • It quickly dampens
   • It has no visible response

   Hint

   Consider the behavior of a pendulum without friction.

4. 4.

   True or False? Critically damped systems oscillate back and forth.

   • True
   • False

   Hint

   Think about how fast a system can come to rest.

5. 5.

   Analyze a structure with a known damping ratio. If the damping ratio is affected by changes in material, how would that influence the design?

   Hint

   Consider how different materials can affect energy loss in a structure.

6. 6.

   Consider a bridge during an earthquake. Describe how impulse response principles would influence design choices.

   Hint

   Think about both the structure's ability to withstand forces and the comfort for occupants.