6.4.2. Response to Harmonic Loading

Try these first

1. 1.

   What is meant by harmonic loading?

   Hint

   Think about the motion of the wave.

2. 2.

   Define resonant frequency.

   Hint

   No hint provided

3. 3.

   What type of loading is described by F(t) = F₀ sin(ωt)?

   • Harmonic Loading
   • Static Loading
   • Dynamic Loading

   Hint

   Think of a wave.

4. 4.

   True or False: The amplitude of an SDOF system response increases substantially at resonance.

   • True
   • False

   Hint

   Recall the relationship between frequency and amplitude.

5. 5.

   You have an SDOF system with a natural frequency of 3 rad/s. An applied force oscillates at 3.5 rad/s with an amplitude of 100 N. Discuss the potential impact of this frequency difference and calculate the expected amplitude of the response.

   Hint

   Consider the impact of being close to the resonant frequency.

6. 6.

   Explain how to adapt your design if the expected loading frequency is too close to the natural frequency of your SDOF system. Provide an example.

   Hint

   Think about how changing materials or shapes can alter frequency.