The force transmissibility of a damped single-degree-of-freedom system with base motion is given by Eq. (9.106):

\[T_{f}=\frac{F_{t}}{k Y}=r^{2}\left\{\frac{1+(2 \zeta r)^{2}}{\left(1-r^{2}\right)^{2}+(2 \zeta r)^{2}}\right\}^{\frac{1}{2}}\]

where \(F_{t}\) is the magnitude of the force transmitted to the mass. Determine the frequency ratios (r) at which the force transmissibility attains maximum and minimum values. Discuss your results.

Equation 9.106:-

Transcribed Image Text:

Tf = Ft kY = 1 + (251)2 (( 1 r) + (2r) ) - (9.106)