10.13. Energy Dissipation and Duhamel Response

Try these first

1. 1.

   What is damping in the context of structural dynamics?

   Hint

   Think about how structures respond to vibrations.

2. 2.

   Define instantaneous power.

   Hint

   It relates force and velocity.

3. 3.

   What does damping do in a structure during vibrations?

   • Increases vibrations
   • Reduces vibrations
   • Has no effect

   Hint

   What is the role of damping?

4. 4.

   Instantaneous power P(t) is defined as:

   • True
   • False

   Hint

   Does it relate force and velocity?

5. 5.

   A structure experiences a dynamic load of F(t) = 10sin(ωt) N. Calculate the instantaneous power and total work done over one full cycle.

   Hint

   Use integration techniques for sinusoidal functions.

6. 6.

   Describe the role of damping devices in earthquake engineering and how they affect the energy absorption of a structure.

   Hint

   Think about how each device works in a seismic event context.