14.2.3. Units and Interpretation

Try these first

1. 1.

   What is natural frequency?

   Hint

   Think about how often a structure vibrates.

2. 2.

   What units are used to measure natural frequency?

   Hint

   Consider frequency in terms of cycles.

3. 3.

   What is the formula for natural frequency in a single-degree-of-freedom system?

   Hint

   Recall the variables involved in the formula.

4. 4.

   True or False: A higher mass will increase the natural frequency.

   • True
   • False

   Hint

   Think about the impact of weight on vibrations.

5. 5.

   A structure has stiffness k = 3000 N/m and mass m = 1500 kg. Calculate the natural frequency and discuss the implications of this frequency in earthquake scenarios.

   Hint

   Recall the formula f = (1/2π) * √(k/m).

6. 6.

   Consider two buildings: Building A with a natural frequency of 5 Hz and Building B with a natural frequency of 2 Hz. Discuss the potential damage each might sustain during an earthquake of 3 Hz.

   Hint

   Consider how matching frequencies can amplify destructive forces.