11.1. Characteristics of MDOF Systems

Try these first

1. 1.

   Define what an MDOF system is.

   Hint

   What does MDOF stand for?

2. 2.

   Give one example of MDOF systems.

   Hint

   Think of structures with multiple components that move.

3. 3.

   What does MDOF stand for?

   • Multiple Dimension Operations Function
   • Multiple Degree of Freedom
   • Machine Degree of Order Function

   Hint

   Focus on degrees and freedom in structural terms.

4. 4.

   True or False: An SDOF system is sufficient for modeling the behavior of complex structures.

   • True
   • False

   Hint

   Consider why multiple degrees might be necessary.

5. 5.

   Given a 3-story building modeled as an MDOF system, where each floor has different masses and stiffnesses, derive the coupled differential equations governing their motion.

   Hint

   Think about how the motion of one floor affects the others.

6. 6.

   Explain the impact of neglecting the coupled nature of MDOF systems in seismic design.

   Hint

   Consider how dynamics should account for interactions, not just isolated events.