11.16. Time History Analysis of MDOF Systems

Try these first

1. 1.

   What is Time History Analysis?

   Hint

   What do we analyze to assess the response over time?

2. 2.

   Name one numerical integration method used in time history analysis.

   Hint

   This method balances stability and accuracy well.

3. 3.

   What is the primary purpose of time history analysis?

   • To measure static loads
   • To evaluate the dynamic response of structures
   • To design buildings for aesthetic purposes

   Hint

   Think about how this method is used for structures during earthquakes.

4. 4.

   True or False: Ground acceleration is irrelevant in time history analysis.

   • True
   • False

   Hint

   Consider what input data is needed for the analysis.

5. 5.

   A structural engineer needs to perform a time history analysis on a new hospital building. Given a set of ground acceleration data, explain how they would choose the appropriate time step and numerical method.

   Hint

   Think about frequency and computational efficiency.

6. 6.

   Evaluate the impact of damping on the dynamic response of an MDOF system using time history analysis. What role does the damping matrix play?

   Hint

   Consider energy flow during dynamic loading.