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A system has the following dynamics equations 3 0 LO 10-62218- ] o||2+ + 1) L83 3 4 -2 -1 -21X1 [fi(t)] -1||X2= |f2(t) 3
Posted: Fri May 20, 2022 11:37 pm
by answerhappygod
- A System Has The Following Dynamics Equations 3 0 Lo 10 62218 O 2 1 L83 3 4 2 1 21x1 Fi T 1 X2 F2 T 3 1 (66.5 KiB) Viewed 12 times
A system has the following dynamics equations 3 0 LO 10-62218- ] o||2+ + 1) L83 3 4 -2 -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) X(2) -0% ? x(3) = = ? (c) Check orthogonality. Are the above eigenvectors orthogonal over the matrices M and K? Show your calculation.