Question 9.P.2: Obtain the response of a system with an undamped frequency ω...
Obtain the response of a system with an undamped frequency \omega to the periodic load shown in Figure P9.2. The stiffness of the system is k and damping is 10 \% of critical. The exciting frequency \Omega=1.5 \omega.
\begin{aligned}&\quad u(t)=\frac{2 p_{0}}{k \pi} \sum_{n=1}^{\infty}\left[\frac{(-1)^{n-1}}{n\left(1+\beta_{n}^{4}-1.96 \beta_{n}^{2}\right)}\left\{\left(1-\beta_{n}^{2}\right) \sin n \Omega t-0.2 \beta_{n} \cos n \Omega t\right\}\right] \\&\text { where } \beta_{n}=\frac{n \Omega}{\omega}=1.5 n\end{aligned}
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