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Unformatted text preview: 1 EML 6267 Assignment #8 Spring 2009 Due: Not to be collected. 1. Determine the direct frequency response function, 2 2 F X , for the two degree of freedom system shown in Fig. e.7.1 using receptance coupling. Express your final result as a function of m , c , k , and the excitation frequency, ω . You may assume a harmonic forcing function, F 2 , is applied to coordinate X 2 . The assembly model shown in Fig. e.7.1 is analogous to Fig. 7.2.4. We can therefore apply Eq. 7.2.14 after minor modifications. The original equation is: a a b b a a a a a a a a h k h h h h H 1 1 1 1 1 1 1 1 1 1 1 1 1 1 − + + − = . To match the model for this problem, we replace coordinate 1 a with 2, coordinate 1 b with 1, and k with i ω c to obtain: 22 1 11 22 22 22 22 1 h c i h h h h H − + + − = ω . We determine h 11 and h 22 by recognizing that this assembly is composed of two identical components connected by the viscous damper, c . The components are single degree of ....
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 Spring '08
 Schmitz
 Impulse response, frequency response function, harmonic forcing function, direct frequency response

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