8.11. Graphical Representation of Harmonic Response

Try these first

1. 1.

   What is the purpose of the Response vs Frequency Ratio graph?

   Hint

   Think about what happens at resonance.

2. 2.

   Define phase shift.

   Hint

   How do you measure time differences in waveforms?

3. 3.

   What does the Response vs Frequency Ratio graph show?

   • Amplitude at different frequencies
   • Time delay between output and input
   • Temperature changes

   Hint

   Consider what 'response' refers to in this context.

4. 4.

   True or False: A phase shift is irrelevant when tuning dynamic absorbers.

   • True
   • False

   Hint

   Think about how vibrations can either align or misalign with the input.

5. 5.

   Given a system with a natural frequency of 2 Hz and a damping ratio of 0.1, calculate the response amplitude at a frequency ratio of 1.5.

   Hint

   Involve the dynamics of damped systems to estimate the response.

6. 6.

   Explore how the phase shift changes from 0° to 180° as frequency increases. Create a hypothetical scenario where the phase shift impacts vibration isolation in a given system.

   Hint

   Think about how phase shifts would affect the reaction of a damper.