The electrodynamic shaker shown in Figure P14.51 is used to...

The electrodynamic shaker shown in Figure P14.51 is used to perform vibration testing of an electronic circuit. The circuit is placed on a test table 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 $\omega=2 \pi(100) \mathrm{rad} / \mathrm{s}$. 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: $$ \begin{aligned} & B=200 \mathrm{~Wb} / \mathrm{m}^2 \quad l=5 \mathrm{~m} \quad k=100 \mathrm{~N} / \mathrm{m} \\ & m=0.2 \mathrm{~kg} \quad b=5 \mathrm{~N}-\mathrm{s} / \mathrm{m} \\ & L=8 \mathrm{mH} \quad R=0.5 \Omega \end{aligned} $$ Determine the peak amplitude of the sinusoidal voltage $V_S$ required to generate an acceleration of $5 g\left(49 \mathrm{~m} / \mathrm{s}^2\right)$ under the stated test conditions.

The electrodynamic shaker shown in Figure P14.51 is used to perform vibration testing of an electronic circuit. The circuit is placed on a test table 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 $\omega=2 \pi(100) \mathrm{rad} / \mathrm{s}$.
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:

$$
\begin{aligned}
& B=200 \mathrm{~Wb} / \mathrm{m}^2 \quad l=5 \mathrm{~m} \quad k=100 \mathrm{~N} / \mathrm{m} \\
& m=0.2 \mathrm{~kg} \quad b=5 \mathrm{~N}-\mathrm{s} / \mathrm{m} \\
& L=8 \mathrm{mH} \quad R=0.5 \Omega
\end{aligned}
$$

Determine the peak amplitude of the sinusoidal voltage $V_S$ required to generate an acceleration of $5 g\left(49 \mathrm{~m} / \mathrm{s}^2\right)$ under the stated test conditions.

Thanks for your feedback!

Play audio

Feedback

Please give Ace some feedback