- 2 30 A System Has The Following Dynamics Equations 300 Ri 0 2 0 32 Lo 0 1 Liz 966 3 1 2 1 4 1 21x1 Fi T 1 (70.86 KiB) Viewed 9 times
(2) 30% A system has the following dynamics equations [300][ří 0 2 0 32 + LO 0 1) Liz 966 3 -1 -2 -1 4 -1 -21X1] [fi(t)]
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(2) 30% A system has the following dynamics equations [300][ří 0 2 0 32 + LO 0 1) Liz 966 3 -1 -2 -1 4 -1 -21X1] [fi(t)]
(2) 30% A system has the following dynamics equations [300][ří 0 2 0 32 + LO 0 1) Liz 966 3 -1 -2 -1 4 -1 -21X1] [fi(t)] -1|||X2| = |f2(t) 3 [X3 |fz(t)] M K (a) Calculate the natural frequencies (eigenvalues) of this system. (b) Calculate the mode shapes (eigenvectors) of this system in the following format (let y(i) = 1): = X(1) = ? 1 X(2) = ? - X(3) = ? ) (c) Check orthogonality. Are the above eigenvectors orthogonal over the matrices M and K? Show your calculation.