10.9. Extension to Multi-Degree-of-Freedom (MDOF) Systems

Try these first

1. 1.

   What does MDOF stand for?

   Hint

   Think about systems with multiple movements.

2. 2.

   What is the role of modal analysis?

   Hint

   It helps divide the system into manageable parts.

3. 3.

   What does MDOF stand for?

   • Multi-Direct-Oriented Framework
   • Multi-Degree-of-Freedom
   • Many-Dimensional Functional

   Hint

   Focus on systems with multiple degrees of independence.

4. 4.

   True or False: Duhamel's integral can only be applied to SDOF systems.

   • True
   • False

   Hint

   Consider how we analyze complex systems.

5. 5.

   A multi-story building has three degrees of freedom. If each floor vibrates with different mode shapes, how would you compute the displacement at the top floor during an earthquake?

   Hint

   Think about how each floor’s motion impacts the levels above.

6. 6.

   Explain how you would numerically evaluate the modal coordinates for an MDOF system subject to seismic loading using Duhamel's integral.

   Hint

   Consider what tools help in calculating those responses over time.