A two-disk torsional model supported in frictionless


Question: A two-disk torsional model supported in frictionless bearings. The matrix EOM can be stated as

479_Two disk.png

Tasks: (a) c

(b) Determine the eigenvalues, natural frequencies, and matrix of eigenvectors [A]. Sketch the eigenvectors.

(c) Without normalizing your eigenvectors, show that [A]T[L][A] and [A]T[K][A] are diagonalized, where [L] is the inertia matrix and [K] is the stiffness matrix.

(d) State the modal differential equations and the transformation from modal to physical coordinates.

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Mechanical Engineering: A two-disk torsional model supported in frictionless
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