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
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
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Related questions
Question
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9b2dcad3-06ff-4110-8115-5d92cccc8a79%2Fc74b3440-6781-4af7-9332-90795c188b49%2Fzjfp3gj_processed.jpeg&w=3840&q=75)
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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