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IDENTIFICATION OF DAMPING: PART 2, NON-VISCOUS DAMPING

✍ Scribed by S. ADHIKARI; J. WOODHOUSE

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
581 KB
Volume
243
Category
Article
ISSN
0022-460X

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✦ Synopsis

In a companion paper (see pp. 43} 61 of this issue), it was shown that when a system is non-viscously damped, an identi"ed equivalent viscous damping model does not accurately represent the damping behaviour. This demands new methodologies to identify non-viscous damping models. This paper takes a "rst step, by outlining a procedure for identifying a damping model involving an exponentially decaying relaxation function. The method uses experimentally identi"ed complex modes and complex natural frequencies, together with the knowledge of the mass matrix for the system. The proposed method and several related issues are discussed by considering numerical examples of a linear array of damped spring-mass oscillators. It is shown that good estimates can be obtained for the exponential time constant and the spatial distribution of the damping.

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✍ S. ADHIKARI; J. WOODHOUSE πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 485 KB

Characterization of damping forces in a vibrating structure has long been an active area of research in structural dynamics. The most common approach is to use &&viscous damping'' where the instantaneous generalized velocities are the only relevant state variables that a!ect damping forces. However,

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methods were proposed to obtain the coe$cient matrix for a viscous damping model or a non-viscous damping model with an exponential relaxation function, from measured complex natural frequencies and modes. In all these works, it has been assumed that exact complex natural frequencies and complex mod