Dear all,
I have a K matrix as
K:matrix([(12*E*I)/L^3,0,0],[0,(3.555555555555555*E*I)/L^3,-(3.555555555555555*E*I)/L^3],[0,-(3.555555555555555*E*I)/L^3,(7.111111111111111*E*I)/L^3]);
and an M matrix as
M:matrix([(m*L)/2,0,0],[0,(5*m*L)/4,0],[0,0,(3*m*L)/2]);
and I am trying to solve
(K-w^2*M)*f=0 eigenvalue problem. (Solving for w eigenvalue and f
eigenvector)
When making manually by equating the determinant to zero and solving for w,
I get the w correct. But when I tried to solve for f, I got different
answers depending on the method I choose,
First solving as a linear equation with 3 equations I get one set of
eigenvectors,
Second, first eigenvector's first term is zero. I get the first equation out
of the system and solved for the rest two equations, I get different
eigenvectors,
Also, they are not proportional, I mean taking one of the eigenvector values
as unity makes the other some value, however taking the other as unit makes
the other another different value, in which I cannot properly unitize them.
I mean, if I take the second value of the eigenvector 1 , the other (third)
is say 0.5 however, if I take the third as 1 it does not make the second 2.
How can I properly calculate the eigenvectors?
Best Rehards...
Ahmet Alper Parker