University of Florida/Eml4507/s13.team3.DavidPatrickR4
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Problem 4.1
[edit | edit source]On my honor, I have neither given nor received unauthorized aid in doing this assignment.
Given
[edit | edit source]Spring-damper-body arrangement as shown. Two separate forces applied to masses.
γ
γ
Find
[edit | edit source]Find the eigenvector corresponding to the eigenvalue for the spring-mass-damper system on p.53-113. Plot and comment on this mode shape. Verify that the eigenvectors are orthogonal to each other
Solution
[edit | edit source]Eigenvalues are found
We find the eigenvectors from
Set
Eigenvectors are orthogonal to each other:
EDU>> x= [-.8507;-.5257]; EDU>> y= [-.5257;.8507]; EDU>> transpose(y)*x
ans = 0
Problem 4.2
[edit | edit source]On my honor, I have neither given nor received unauthorized aid in doing this assignment.
Given
[edit | edit source]Use same given values as in problem 4.1
Find
[edit | edit source]Find the eigenvectors for and when setting
Solution
[edit | edit source]We find the eigenvectors from
Set
We find the eigenvectors from
Set