A machine element supported by springs and connected to a dashpot is subjected to a period...

A machine element supported by springs and connected to a dashpot is subjected to a periodic force of magnitude P = Pm sin ωft. The transmissibility Tm of the system is defined as the ratio Fm/Pm of the maximum value Fm of the fluctuating periodic force transmitted to the foundation to the maximum value Pm of the periodic force applied to the machine element. Use computational software to calculate and plot the value of Tm for frequency ratios wf /wn equal to 0.8, 1.4, and 2.0 and for damping factors c/cc equal to 0, 1, and 2. (Hint: Use the formula given in Prob. 19.147.)

Fig. P19.C3

Prob. 19.147

A machine element is supported by springs and is connected to a dashpot as shown. Show that if a periodic force of magnitude P = Pm sin ωf t is applied to the element, the amplitude of the fluctuating force transmitted to the foundation is

Fig. P19.147