2. Derive the modal equations of the system Mä+(aM + BK)x+Kx=0 for the given mass and stiffness matrices and obtain the coefficients a and ß, if the modal damping factors (damping factors corresponding to the modal coordinates) are given as 51 =52 = 0.3. [1 0 M = 3 -1 K

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2. Derive the modal equations of the system Mi+(aM + BK)x+ Kx = 0 for the given mass and stiffness
matrices and obtain the coefficients a and ß, if the modal damping factors (damping factors corresponding to the
modal coordinates) are given as Ši =52=0.3.
[1 0
3
-1
M
K
1
Transcribed Image Text:2. Derive the modal equations of the system Mi+(aM + BK)x+ Kx = 0 for the given mass and stiffness matrices and obtain the coefficients a and ß, if the modal damping factors (damping factors corresponding to the modal coordinates) are given as Ši =52=0.3. [1 0 3 -1 M K 1
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