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Missouri University of Science and Technology
<p>Vibration<br />Damping (Mechanics)<br />Perturbation (Mathematics)</p>
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Approximate Normal Mode Method To Determine The Response Of Certain Nondiagonalizabel Vibratory Systems, Jayaram Seshadri
Approximate Normal Mode Method To Determine The Response Of Certain Nondiagonalizabel Vibratory Systems, Jayaram Seshadri
Masters Theses
"An approximate normal mode method is developed which permits certain normally nondiagonalizable, nonconservative systems to be solved by superposition of uncoupled coordinates.
An approximate solution for a nonproportionally damped, multi-degree of freedom system is obtained by using a perturbation technique. The system is then reduced to a proportionally damped system by means of a modification to the damping factor so that the effect of the off-diagonal terms of the modal damping matrix is included. This modification produces a damping matrix that can be diagonalized by the normal mode technique. An approximate criterion is used for the determination of the modified …