6. Equations of Motion of SDOF System for Mass as well as Base Excitation

Try these first

1. 1.

   What is the basic equation for an undamped SDOF system?

   Hint

   Think about Newton's laws applied to harmonic motion.

2. 2.

   What does damping do to an oscillating system?

   Hint

   Remember how damping affects energy loss.

3. 3.

   What are the components of a Single Degree of Freedom system?

   • Mass
   • Spring
   • Damper
   • Beam
   • Column
   • Connection
   • Load
   • Reaction
   • Support

   Hint

   Think back to the components we discussed.

4. 4.

   True or False: Base excitation occurs when external forces are applied directly to the mass.

   • True
   • False

   Hint

   Recall the definition of base excitation.

5. 5.

   Consider a building modeled as an SDOF system during an earthquake that experiences both base and mass excitation. Discuss how you would approach analyzing the combined influences on its motion.

   Hint

   Think about how you would model simultaneous forces acting on the structure.

6. 6.

   Assuming an SDOF structure has a damping ratio of 0.3, what implications does this have on its seismic performance and how would you design accordingly?

   Hint

   Reflect on how different damping characteristics interact with seismic events.