mode shapes

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Example
m₁ = m₂ = m3 = m.
Solution: The dynamical matrix is given by
[D] = [k]¹[m] = [a][m]
(E.1)
a11
a12
ain
921 922
[k]¯¹ = [a] =
anl an2
Find the natural frequencies and mode shapes of the system shown in the Fig. for k, = k₂ = k3 = k and
F
F(0)
FX(t)
00
me
a2n
Ann
JEET
kr
m₂
k;
Transcribed Image Text:Example m₁ = m₂ = m3 = m. Solution: The dynamical matrix is given by [D] = [k]¹[m] = [a][m] (E.1) a11 a12 ain 921 922 [k]¯¹ = [a] = anl an2 Find the natural frequencies and mode shapes of the system shown in the Fig. for k, = k₂ = k3 = k and F F(0) FX(t) 00 me a2n Ann JEET kr m₂ k;
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