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Dynamics of Machines - Part II - IFS.pdf

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(1.CASE)<br />

w =<br />

%Dynamical Properties <strong>of</strong> the Mass-Spring System<br />

[u,w]=eig(-B,A); % Eigenvectors u<br />

% Eigenvalues w [rad/s]<br />

0 +48.8527i 0 0 0<br />

0 0 -48.8527i 0 0<br />

0 0 0 + 7.3517i 0<br />

0 0 0 0 - 7.3517i<br />

u =<br />

1.0000 1.0000 0.3300 0.3300<br />

-0.3300 -0.3300 1.0000 1.0000<br />

0 - 0.0355i 0 + 0.0355i 0 - 0.0778i 0 + 0.0778i<br />

0 + 0.0117i 0 - 0.0117i 0 - 0.2356i 0 + 0.2356i<br />

(2.CASE)<br />

w =<br />

0 +34.5441i 0 0 0<br />

0 0 -34.5441i 0 0<br />

0 0 0 + 5.1985i 0<br />

0 0 0 0 - 5.1985i<br />

u =<br />

1.0000 1.0000 -0.3300 -0.3300<br />

-0.3300 -0.3300 -1.0000 -1.0000<br />

0 - 0.0289i 0 + 0.0289i 0 + 0.0635i 0 - 0.0635i<br />

0 + 0.0096i 0 - 0.0096i 0 + 0.1924i 0 - 0.1924i<br />

(3.CASE)<br />

u =<br />

1.0000 1.0000 -0.3300 -0.3300<br />

-0.3300 -0.3300 -1.0000 -1.0000<br />

0 - 0.0205i 0 + 0.0205i 0 + 0.0449i 0 - 0.0449i<br />

0 + 0.0068i 0 - 0.0068i 0 + 0.1360i 0 - 0.1360i<br />

w =<br />

0 +28.2051i 0 0 0<br />

0 0 -28.2051i 0 0<br />

0 0 0 + 4.2445i 0<br />

0 0 0 0 - 4.2445i<br />

38

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