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Mechanical Engineering QUESTION #2444
Question 1
The transmissibility (TR) in vibration isolation represents:
  • Output force at support divided by static force
  • The ratio of force transmitted to the foundation to the applied excitation force: \(TR = \sqrt{\frac{1+(2\zeta r)^2}{(1-r^2)^2+(2\zeta r)^2}}\) where \(r=p/\omega_n\)✔️
  • The ratio of damped to undamped amplitude
  • The ratio of kinetic to potential energy
Correct Answer Explanation
Transmissibility: \(TR=F_{transmitted}/F_0=\sqrt{\frac{1+(2\zeta r)^2}{(1-r^2)^2+(2\zeta r)^2}}\). For effective isolation, TR < 1 requires \(r > \sqrt{2}\).