A machine element is supported by springs and is connected
Chapter 19, Problem 19.147(choose chapter or problem)
A machine element is supported by springs and is connected to a dashpot as shown. Show that if a periodic force of magnitude \(P=P_m\ \sin\ \mathrm{v}_ft\) is applied to the element, the amplitude of the fluctuating force transmitted to the foundation is
\(F_{m}=P_{m_{\mathrm{B}}} \overline{\frac{1+\left[2\left(c / c_{c}\right)\left(\mathrm{V}_{f} / \mathrm{V}_{n}\right)\right]^{2}}{\left[1-\left(\mathrm{V}_{f} / \mathrm{V}_{n}\right)^{2}\right]^{2}+\left[2\left(c / c_{c}\right)\left(\mathrm{V}_{f} / \mathrm{V}_{n}\right)\right]^{2}}}\)
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