13.1. Multi-Degree-of-Freedom (MDOF) Systems

Try these first

1. 1.

   Define Multi-Degree-of-Freedom (MDOF) systems.

   Hint

   Focus on the number of motion directions.

2. 2.

   What represents the mass matrix in MDOF systems?

   Hint

   Think about the weights involved in the structure.

3. 3.

   What does MDOF stand for?

   • Multi-Degree-of-Faculty
   • Multi-Degree-of-Freedom
   • Multi-Dimensional-Freedom

   Hint

   Focus on the degrees of freedom in the system.

4. 4.

   True or False: MDOF systems cannot be represented in matrix form.

   • True
   • False

   Hint

   Review how complicated systems are structured.

5. 5.

   Analyze a provided MDOF system with 3 degrees of freedom. Sketch the mass and stiffness matrices based on given parameters.

   Hint

   Use your understanding of mass and stiffness within the system layout.

6. 6.

   Given a known external force is applied, compute the resultant displacements using the formed matrix equation: [M]{X}'' + [K]{X} = {F(t)}.

   Hint

   Apply matrix operations carefully to isolate {X}.