Homework Answers
Matlab code
M=[4 0 0;0 2 0;0 0 1];
k=[4 -1 0;-1 2 -1;0 -1 1];
[v,d]=eig(k,M)
modes=v;
mode_shapes1=modes(:,1)
mode_shapes2=modes(:,2)
mode_shapes3=modes(:,3)
Output
v =
-0.158113883008419 0.447213595499958 0.158113883008419
-0.500000000000000 -0.000000000000000 -0.500000000000000
-0.632455532033676 -0.447213595499958 0.632455532033676
d =
0.209430584957905 0 0
0 1.000000000000000 0
0 0 1.790569415042095
mode_shapes1 =
-0.158113883008419
-0.500000000000000
-0.632455532033676
mode_shapes2 =
0.447213595499958
-0.000000000000000
-0.447213595499958
mode_shapes3 =
0.158113883008419
-0.500000000000000
0.632455532033676
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