Research Article
Apr 1963
Damping in Discrete Linear Elastic Systems
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VIEW THE REPLYPublication: Journal of the Engineering Mechanics Division
Volume 89, Issue 2
Abstract
Analysis shows that if the viscous damping in a linear elastic system can be represented in the form C = Σ βi(BS)i in which S and B represent the stiffness and universe of the mass matrix, respectively, and the βi are scalar constants, then the mode shapes for damped and undamped vibration are identical. The assumption of small damping is not imposed. It is shown how the damping matrix can be constructed when the damping ratios in the normal modes of vibration are known.
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Published In
Journal of the Engineering Mechanics Division
Volume 89 • Issue 2 • April 1963
Pages: 13 - 18
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© 1963 American Society of Civil Engineers.
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Published in print: Apr 1963
Published online: Feb 3, 2021
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Authors
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D.A. DaDeppo, AM.ASCE
Assoc. Prof. of Civ. Engrg., The Univ. of Arizona, Tucson, Ariz.
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Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.