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A MEASURE OF NON-PROPORTIONAL DAMPING

✍ Scribed by U. PRELLS; M.I. FRISWELL

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
194 KB
Volume
14
Category
Article
ISSN
0888-3270

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✦ Synopsis

Proportional or modal damping is often used as a simpli"ed approach to model the e!ect of damping in linear vibrational mechanical systems. However, there are cases in which a general viscous damping is needed to simulate the dynamic of the system with su$cient accuracy. The scope of this paper is to investigate the di!erence between proportional and general viscous damping models. In case of general viscous damping, the modal marix of the underlying general eigenvalue problem depends on an orthonormal matrix, which represents the phase between di!erent degrees of freedom of the model. It will be shown that in the case of proportional damping this orthogonal matrix becomes the identity matrix, which enables a real-valued normalisation of the modal matrix. Consequently, this orthogonal matrix can serve as a measure of the di!erence between proportional and general viscous damping models. Applications of the concept are demonstrated by two simulation examples.

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