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Published in:
2014 | OriginalPaper | Chapter
17. Proportional Damping from Experimental Data
Authors : Brian Schwarz, Mark Richardson
Published in: Topics in Modal Analysis, Volume 7
Publisher: Springer New York
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Abstract
Damping forces are typically ignored during the Finite Element Analysis (FEA) of mechanical structures. In most real structures, it can be assumed that there are several damping mechanisms at work, but they may be difficult to identify, and even more difficult to model.
Since both mass & stiffness matrices are available during an FEA, a common method of modeling viscous damping is with a proportional damping matrix. That is, the viscous damping matrix is assumed to be a linear combination of the mass & stiffness matrices. Therefore, in order to model viscous damping with a proportional damping matrix, the two constants of proportionality must be determined.
In this paper, a least-squared-error relationship between experimental modal frequency & damping and the proportional damping constants of proportionality is developed. An example is included in which experimental modal parameters are used to calculate the constants of proportionality. The modal parameters of an FEA model with proportional damping are then compared with the original experimental modal parameters.