2. Show that the natural frequencies and modes for the 10 bar element mesh below are: 54 (U) 54.-0 @-54, Assume ExAsp 1. (Note eigenvectors U2 and US have been supplied for convenience. If you prefer you can calculate the eigenvalues and eigenvectors in excel as demonstrated in class) 1 2 1/3

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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H6.
2. Show that the natural frequencies and modes for the 10 bar element mesh below are:
54
0².
-
@=54,
Assume E=A=p=1.
(Note eigenvectors U2 and U3 have been supplied for convenience. If you prefer you
can calculate the eigenvalues and eigenvectors in excel as demonstrated in class)
F
54
Note that .
two element mesh.
Mode
mode 2
1
E-A-p-1
L-1/3
1/3
-10.8,-3.29 is closer to the exact result of 3.1414 than for the
Using the eigenvectors sketch the mode shape of the two eigenvectors.
4:
-actual mode shape.
y=
-predicted Mode
shape
Cactual
mode
uin shape
U²1
-predicted Mode
shape
Transcribed Image Text:2. Show that the natural frequencies and modes for the 10 bar element mesh below are: 54 0². - @=54, Assume E=A=p=1. (Note eigenvectors U2 and U3 have been supplied for convenience. If you prefer you can calculate the eigenvalues and eigenvectors in excel as demonstrated in class) F 54 Note that . two element mesh. Mode mode 2 1 E-A-p-1 L-1/3 1/3 -10.8,-3.29 is closer to the exact result of 3.1414 than for the Using the eigenvectors sketch the mode shape of the two eigenvectors. 4: -actual mode shape. y= -predicted Mode shape Cactual mode uin shape U²1 -predicted Mode shape
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