A note on vibrations of damped linear systems |
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| Authors: | D.W. Nicholson |
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| Affiliation: | 1. The Goodyear Tire and Rubber Company, Akron, Ohio, USA;2. Currently, Naval Surface Weapons Center, Silver Spring, MD, USA |
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| Abstract: | In a damped linear system, for the free vibrations to be oscillatory with decaying amplitude, it is proven that the mass and damping matrices must be positive definite. Also, a certain matrix product involving the mass, damping and stiffness matrices must be commutative. |
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