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research-article

High frequency analysis of a point-coupled parallel plate system

[+] Author and Article Information
Dean R. Culver

Aeroelasticity Laboratory Department of Mechanical Engineering and Materials Science Duke University Durham, North Carolina 27705
dean.culver@duke.edu

Earl. H Dowell

Aeroelasticity Laboratory Department of Mechanical Engineering and Materials Science Duke University Durham, North Carolina 27705
earl.dowell@duke.edu

1Corresponding author.

ASME doi:10.1115/1.4036212 History: Received January 11, 2017; Revised February 17, 2017

Abstract

The RMS response of various points in a system comprised of two parallel plates coupled at a point undergoing high frequency, broadband transverse point excitation of one component is considered. Through this prototypical example, Asymptotic Modal Analysis (AMA) is extended to two coupled continuous dynamical systems. It is shown that different points on the plates respond with different RMS magnitudes depending on their spatial relationship to the excitation or coupling points in the system. The ability of AMA to accurately compute the RMS response of these points (namely the excitation point, the coupling points, and the hot lines through the excitation or coupling points) in the system is shown. The behavior of three representative prototypical configurations of the parallel plate system: two similar plates (in both geometry and modal density), two plates with similar modal density but different geometry, and two plates with similar geometry but different modal density. After examining the error between reduced modal methods (such as AMA) to Classical Modal Analysis (CMA), it is determined that these several methods are valid for each of these scenarios. The data from the various methods will also be useful in evaluating the accuracy of other methods including SEA.

Copyright (c) 2017 by ASME
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