8.1. Equation of Motion for Harmonic Excitation

Try these first

1. 1.

   What does the term m represent in the equation of motion?

   Hint

   Think about the primary attribute of the system.

2. 2.

   What does F₀ signify in the equation?

   Hint

   Consider how much force is applied over time.

3. 3.

   What does the damping coefficient represent in the equation of motion?

   • Energy Storage
   • Energy Loss
   • Inertia

   Hint

   Reflect on the behavior of a swinging pendulum.

4. 4.

   Is the natural frequency of a system independent of mass?

   • True
   • False

   Hint

   Think about how mass affects oscillation speeds.

5. 5.

   Design an experiment to observe the behavior of a SDOF system under harmonic excitation. Outline the materials and methods.

   Hint

   Identify how to vary the frequency and external forces.

6. 6.

   Analyze a case where a building resonates due to harmonic excitation and propose solutions to mitigate the effects.

   Hint

   Think about famous structures that experienced such issues, like bridges.