16.8. Numerical Solution Methods for MDOF Systems

Try these first

1. 1.

   What is the main purpose of numerical integration in structural analysis?

   Hint

   Think about the complexity of analytical solutions.

2. 2.

   Name one time integration method used in dynamic analysis.

   Hint

   Consider the methods discussed in class.

3. 3.

   What is a critical advantage of using numerical integration methods?

   • They provide exact solutions.
   • They are always faster than analytical methods.
   • They handle complex systems effectively.

   Hint

   Think about the nature of complex systems.

4. 4.

   True or False: Modal truncation involves ignoring lower modes.

   • True
   • False

   Hint

   Consider which modes have a stronger influence.

5. 5.

   You are tasked with analyzing a 10-storey building using the Newmark-beta method. Describe the steps you would take to implement this method for seismic analysis, including considerations for time step selection.

   Hint

   Think about how time steps affect accuracy.

6. 6.

   Explain how you would conduct modal truncation for a 6 DOF system where higher modes provide minimal contributions to the response.

   Hint

   Consider the significance of mode contribution during seismic analysis.