1. Theory of Vibrations

Try these first

1. 1.

   What defines free vibration?

   Hint

   Think about what happens after you push something and let it go.

2. 2.

   Name one type of vibratory system.

   Hint

   Consider how many movements are needed to describe a system.

3. 3.

   What type of vibration occurs without external force after an initial disturbance?

   • Forced vibration
   • Damped vibration
   • Free vibration

   Hint

   Think about how swings move after being pushed.

4. 4.

   True or False: The natural frequency of a system impacts its response during an earthquake.

   • True
   • False

   Hint

   Consider how tuning can affect music instruments.

5. 5.

   A building experiences vibrations due to nearby road traffic. Calculate the anticipated response if the natural frequency of the building is 2 Hz and the traffic generates a frequency of 2 Hz.

   Hint

   Review resonance conditions.

6. 6.

   Design a hypothetical building avoiding resonance by changing its natural frequency. If the original is 1.8 Hz, what parameters (mass or stiffness) would you alter?

   Hint

   Think about how constructing taller columns could achieve this.