plication of eigenvalue expressed and eigenve in the matrix form as: a 1 31
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![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 expressed in the matrix form as:
а 1 3]
A = |1 0
l2 1
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 v = [1 0 1]T and calculate until
|mk+1 – mx| < 0.005 or FIVE (5) iterations whichever comes first. Do the
calculations in 3 decimal places.
Estimate the mode shape of the vibration by finding the dominant (in
absolute value) eigenvalue and its motion pattern (corresponding
eigenvector).
(а)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb90e59aa-8faf-4e7c-82fe-86c3037886b7%2F0b8b5aea-3c65-427e-81f2-6fe09b6a6dba%2Fqhw3fa_processed.jpeg&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 expressed in the matrix form as:
а 1 3]
A = |1 0
l2 1
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 v = [1 0 1]T and calculate until
|mk+1 – mx| < 0.005 or FIVE (5) iterations whichever comes first. Do the
calculations in 3 decimal places.
Estimate the mode shape of the vibration by finding the dominant (in
absolute value) eigenvalue and its motion pattern (corresponding
eigenvector).
(а)
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