1.12.1. Conditions for Resonance

Try these first

1. 1.

   What occurs when the external frequency matches the natural frequency of a structure?

   Hint

   Think about the relationship between two frequencies.

2. 2.

   What effect does low damping have during resonance?

   Hint

   Consider a pendulum swinging more widely.

3. 3.

   What defines resonance in structural dynamics?

   • When vibrations cease
   • When external vibration matches natural frequency
   • When energy is minimized

   Hint

   Consider the concept of frequency matching.

4. 4.

   True or False: High levels of damping make structures more vulnerable to resonance.

   • True
   • False

   Hint

   Think about how damping affects oscillations.

5. 5.

   A structure with a natural frequency of 2 Hz is subjected to ground motion with a predominant frequency of 2 Hz. Describe the behavior of the structure and possible outcomes.

   Hint

   Think about what happens in resonance when frequencies match.

6. 6.

   If an engineer wants to lower a building's natural frequency from 3 Hz to 1.5 Hz, what changes in design could they implement?

   Hint

   Consider how the natural frequency is affected by mass and stiffness.