The stiffness matrix for a MDF dynamic system is given below 3r -r [K] = |-r 2r -r -r r , where r is a positive number. Assuming the first natural mode of vibration for this system is known and given by the column vector (1, 2.275, 3), which of the following column vectors is/are the possible 2nd natural mode. i) (1, 1, -1)" ii) (1, -1, 0) iii) (1, 0, -1) ™ Explain the reason for your choice.
The stiffness matrix for a MDF dynamic system is given below 3r -r [K] = |-r 2r -r -r r , where r is a positive number. Assuming the first natural mode of vibration for this system is known and given by the column vector (1, 2.275, 3), which of the following column vectors is/are the possible 2nd natural mode. i) (1, 1, -1)" ii) (1, -1, 0) iii) (1, 0, -1) ™ Explain the reason for your choice.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![The stiffness matrix for a MDF dynamic system is given below
[3r
[K] =-r
-r
2r
-r
-r
where r is a positive number. Assuming the first natural mode of vibration for this
system is known and given by the column vector (1, 2.275, 3) ", which of the following
column vectors is/are the possible 2nd natural mode.
i)
(1, 1, -1) "
ii)
(1, -1, 0)
iii) (1, 0, -1)"
Explain the reason for your choice.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbf7772a5-0a8e-4e69-a806-b256508c1ba3%2F9d75092c-c65d-4f56-b836-2d38444b50b4%2Fkmjezey_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The stiffness matrix for a MDF dynamic system is given below
[3r
[K] =-r
-r
2r
-r
-r
where r is a positive number. Assuming the first natural mode of vibration for this
system is known and given by the column vector (1, 2.275, 3) ", which of the following
column vectors is/are the possible 2nd natural mode.
i)
(1, 1, -1) "
ii)
(1, -1, 0)
iii) (1, 0, -1)"
Explain the reason for your choice.
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