5.4.1. What is an SDOF System?

Try these first

1. 1.

   Define a Single Degree of Freedom (SDOF) system.

   Hint

   Think about how motion is measured.

2. 2.

   What are the main components of an SDOF system?

   Hint

   Consider forces acting on a structure.

3. 3.

   What does SDOF stand for?

   • Single Degree of Freedom
   • Single Degree of Frame
   • Single Dimension of Freedom

   Hint

   Focus on the concept of simplifying complex motions.

4. 4.

   True or False: SDOF systems can accurately reproduce the behavior of all complex structures.

   • True
   • False

   Hint

   Think about the limitations of idealizations.

5. 5.

   Given a cantilever beam modeled as an SDOF system with a mass of 100 kg and a stiffness of 2000 N/m, derive the equation of motion and calculate the natural frequency.

   Hint

   Use the relationship between stiffness and mass to find frequency.

6. 6.

   Discuss how adding damping to an SDOF system affects the motion during seismic loading.

   Hint

   Think about energy dissipation's effect on oscillation.