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A remark about the decoupling approximation of damped linear systems
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https://doi.org/10.1016/j.mechrescom.2008.02.006Abstract
A common approximation in the analysis of non-classically damped systems is to ignore the off-diagonal elements of the modal damping matrix. This procedure is termed the decoupling approximation. Contrary to widely accepted beliefs, it is shown numerically that over a finite range, errors due to the decoupling approximation can continuously increase at any specified rate while the modal damping matrix becomes more and more diagonal. © 2008 Elsevier Ltd. All rights reserved.
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