Efficient analysis of dynamic coupling between modifications to complex systems

Abstract

This paper outlines a strategy for identifying and exploiting the lack of dynamic coupling between potential modifications to a vibroacoustic system. Often a designer develops a set of modifications and wishes to determine those that perform the best relative to some metric, in particular, we consider performance metrics that rely on the steady state forced response of the structure over a frequency band of interest. In this case, the effects of coupling are shown to appear as a force residual and therefore may be neglected if sufficiently small. When modifications are uncoupled from one another, the computational cost of analyzing all possible modified systems can be greatly reduced. For example, if up to 4 of 7 potential modifications are allowed to be applied to a system, there are 98 possible modified systems that need to be analyzed to determine the optimal combination. However if all of the modifications are found to be uncoupled, then only seven modified systems need to be analyzed to generate the results for all possible modified systems. An example problem demonstrates the benefits of uncoupling between modifications.

Identification and application of dynamic uncoupling between modifications to vibrating systems

“…To the best knowledge of the authors, a method for identifying dynamic decoupling and leveraging that information to perform optimization has never been studied or published before. This is with the exception of the present authors' conference presentation, , which discussed only pairs of modifications.…”