17.14. Orthogonal Properties with Damping

Try these first

1. 1.

   What is classical damping?

   Hint

   Think about how it interacts with mass and stiffness.

2. 2.

   Define diagonalization in the context of damping.

   Hint

   What does it mean for matrices?

3. 3.

   What allows for the damping matrix to be diagonalized?

   • Classical Damping
   • Frictional Damping
   • Structural Damping

   Hint

   Think about the type of damping we usually want in structures.

4. 4.

   True or False: Non-classical damping facilitates easy decoupling.

   • True
   • False

   Hint

   What is the key difference from classical damping?

5. 5.

   Design a simple model using both classical and non-classical damping. Discuss the advantages and possible challenges.

   Hint

   Which system would yield easier calculations?

6. 6.

   Analyze a scenario involving an asymmetrical building subjected to seismic loads, considering both types of damping. What are the possible outcomes?

   Hint

   Which damping type introduces greater uncertainty?