Damping in Discrete Linear Elastic Systems

by D. A. DaDeppo,

Serial Information: Journal of the Engineering Mechanics Division, 1963, Vol. 89, Issue 2, Pg. 13-18

Document Type: Journal Paper


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.

Subject Headings: Damping | Linear functions | Elastic analysis | Linear analysis | Matrix (mathematics) | Vibration | Stiffening

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