The vibration modes and the motion pattern of a bridge system can be foreseen through the application of eigenvalue and eigenvector. The dynamic system of the bridge can be exppressed in the matrix form as: ſa 1 3] A = |1 0 1 L2 1 al Where a is the last digit of your matrix number, If the last digit of your number is zero or one then take a = 2. Use try value v0) = [1 0 1]1 and calculate until |mk+1 – mg| < 0.005 or five iterations whichever comes first. Do your calculations in 3 decimal places. Calculate the mode shape of the vibration by finding the dominant (in absolute value) eigenvalue and its motion pattern (corresponding eigenvector). (a)
The vibration modes and the motion pattern of a bridge system can be foreseen through the application of eigenvalue and eigenvector. The dynamic system of the bridge can be exppressed in the matrix form as: ſa 1 3] A = |1 0 1 L2 1 al Where a is the last digit of your matrix number, If the last digit of your number is zero or one then take a = 2. Use try value v0) = [1 0 1]1 and calculate until |mk+1 – mg| < 0.005 or five iterations whichever comes first. Do your calculations in 3 decimal places. Calculate the mode shape of the vibration by finding the dominant (in absolute value) eigenvalue and its motion pattern (corresponding eigenvector). (a)
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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notice that last digite of my matric is 8
![The vibration modes and the motion pattern of a bridge system can be foreseen
through the application of eigenvalue and eigenvector. The dynamic system of the
bridge can be exppressed in the matrix form as:
Q3
а 1 3]
A = |1 0 1
L2 1
al
Where a is the last digit of your matrix number, If the last digit of your number is
zero or one then take a = 2. Use try value vº) = [1 0 1]T and calculate until
|mk+1 – mr| < 0.005 or five iterations whichever comes first. Do your
calculations in 3 decimal places.
Calculate the mode shape of the vibration by finding the dominant (in
absolute value) eigenvalue and its motion pattern (corresponding
eigenvector).
(a)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc994b1bb-5b24-4365-b01f-b9c0cc9ab917%2F97be5adf-8b1b-418b-8d83-ae10fa7d538c%2Fynhwvv_processed.png&w=3840&q=75)
Transcribed Image Text:The vibration modes and the motion pattern of a bridge system can be foreseen
through the application of eigenvalue and eigenvector. The dynamic system of the
bridge can be exppressed in the matrix form as:
Q3
а 1 3]
A = |1 0 1
L2 1
al
Where a is the last digit of your matrix number, If the last digit of your number is
zero or one then take a = 2. Use try value vº) = [1 0 1]T and calculate until
|mk+1 – mr| < 0.005 or five iterations whichever comes first. Do your
calculations in 3 decimal places.
Calculate the mode shape of the vibration by finding the dominant (in
absolute value) eigenvalue and its motion pattern (corresponding
eigenvector).
(a)
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