10.5. Application to Base Excitation (Earthquake Ground Motion)

Try these first

1. 1.

   What does base excitation refer to?

   Hint

   Think about how an earthquake impacts buildings.

2. 2.

   What is the general form of the equation of motion for a base-excited SDOF system?

   Hint

   Recall the dynamics we learned earlier about forces acting on structures.

3. 3.

   What does base excitation primarily refer to?

   • Response of a structure to external forces
   • Response of a structure to ground acceleration
   • Static load on a structure

   Hint

   Relate it back to earthquake effects.

4. 4.

   True or False: Duhamel's Integral can be used for nonlinear systems.

   • True
   • False

   Hint

   Think about the assumptions made in earthquake analysis.

5. 5.

   Given a specific ground motion profile, determine the response of a structure with parameters m = 2500 kg, c = 500 N·s/m, and k = 100000 N/m. Use Duhamel's Integral for your calculations.

   Hint

   Pay attention to defining the impulse response function correctly based on damping.

6. 6.

   Examine how variations in damping ratios affect the response of the structure during an earthquake. What are the implications if the damping ratio is increased significantly?

   Hint

   Compare with different damping scenarios and their impacts on structural stability.