A remark about the decoupling approximation of damped linear systems

摘要

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 ally specified rate while the modal damping matrix becomes more and more diagonal. (c) 2008 Elsevier Ltd. All rights reserved.