The electrodynamic shaker shown in Figure P13.53 is used to perform vibration testing of a...

The electrodynamic shaker shown in Figure P13.53 is used to perform vibration testing of an electronic circuit. The circuit is placed on a test table

Figure P13.53

with mass m, and is assumed to have negligible mass when compared to the table. The test consists of shaking the circuit at the frequency ω = 2π(100) rad/s.

a. Write the dynamic equations for the shaker. Clearly indicate system input(s) and output(s).

b. Find the frequency response function of the table acceleration in response to the applied voltage.

c. Given the following parameter values: B = 200 Wb/m2; l = 5 m; k = 100 N/m; m = 0.2 kg; b = 5 N – s/m; L = 8 mH; R = 0.5 Ω;

Determine the peak amplitude of the sinusoidal voltage VS required to generate an acceleration of 5 g (49 m/s2) under the stated test conditions.