12. Two Degree of Freedom System

Try these first

1. 1.

   What does a Two Degree of Freedom System require?

   Hint

   Think about degrees of freedom in a system.

2. 2.

   What is a simplified form of the equation for undamped systems?

   Hint

   Consider the terms of motion.

3. 3.

   What defines a Two Degree of Freedom system?

   • A system needing three independent coordinates
   • A system needing one independent coordinate
   • A system needing two independent coordinates

   Hint

   Consider the degrees of freedom.

4. 4.

   True or False: The modal analysis allows us to study multiple modes of a system concurrently.

   Hint

   Think about how we analyze vibrations!

5. 5.

   Design a 2-DOF system for a two-story residential building. Specify the parameters, mass values, and the significance of mode shapes in your design.

   Hint

   Consider how buildings behave during a quake and how their design can minimize risks.

6. 6.

   Explain how you would analyze the forced vibration of a 2-DOF system in response to ground motion from an earthquake.

   Hint

   Think about how each mode would react to the input given by an earthquake!