or the two-degree-of-freedom system shown in Figure Q2 with m 1 kg, k = 87 N/m, k' 217 N/m, c = 0.6284 N. s/m, and c' = 0.0628 N. s/m. a. Determine the system's natural frequencies and the corresponding mode shapes.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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2. For the two-degree-of-freedom system shown in Figure Q2 with m 1 kg, k =
987 N/m, k' = 217 N/m, c = 0.6284 N. s/m, and c' = 0.0628 N. s/m.
a. Determine the system's natural frequencies and the corresponding mode shapes.
b. Determine the modal mass, modal stiffness and modal damping matrices.
c'
C
m
k'
Figure Q2. Spring-mass-damper system.
Transcribed Image Text:2. For the two-degree-of-freedom system shown in Figure Q2 with m 1 kg, k = 987 N/m, k' = 217 N/m, c = 0.6284 N. s/m, and c' = 0.0628 N. s/m. a. Determine the system's natural frequencies and the corresponding mode shapes. b. Determine the modal mass, modal stiffness and modal damping matrices. c' C m k' Figure Q2. Spring-mass-damper system.
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