30.1.2. Single Degree of Freedom (SDOF) Systems

Try these first

1. 1.

   What does SDOF stand for?

   Hint

   Think about how many degrees of freedom this system has.

2. 2.

   Identify one component of the mass-spring-damper model.

   Hint

   These components work together in the system.

3. 3.

   What does SDOF stand for?

   • Single Degree of Freedom
   • Several Degrees of Freedom
   • Simple Degree of Freedom

   Hint

   Think about what the 'S' might stand for.

4. 4.

   The equation mx¨(t) + cx˙(t) + kx(t) = -mu¨(t) describes which type of system?

   • Multiple Degree Systems
   • Single Degree of Freedom Systems
   • Damped Harmonic Oscillator

   Hint

   Look for the degree of freedom in the equation.

5. 5.

   Consider a 10 kg mass attached to a spring with a spring constant of 200 N/m, and a damping coefficient of 25 Ns/m. Write the equation governing its motion.

   Hint

   Use the basic SDOF system equation format.

6. 6.

   Discuss how the damping ratio affects the response of an SDOF system and provide examples.

   Hint

   Think about how energy dissipation occurs.