8.6. Transmissibility

Try these first

1. 1.

   What does transmissibility represent?

   Hint

   Think about what happens to force in a dynamic system.

2. 2.

   What do you call the zone where T < 1?

   Hint

   Consider a safe zone for structures.

3. 3.

   What is transmitted energy ratio known as?

   • Amplification
   • Transmissibility
   • Isolation

   Hint

   Recall the context of dynamic systems.

4. 4.

   True or False: If r < √2, the system is in the amplification zone.

   • True
   • False

   Hint

   Think about the definitions of T.

5. 5.

   Consider a system with a natural frequency of 25 Hz. If an external force is applied at 40 Hz, calculate its transmissibility and discuss its implications.

   Hint

   First find r, then apply the understanding of the zones.

6. 6.

   A force at 15 Hz causes a structure to vibrate at 30 Hz leading to increased damage. Calculate the transmissibility and suggest ways to mitigate these effects.

   Hint

   How can engineers manage vibrations to ensure they stay within isolation?