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High Frequency Analysis of a Point-Coupled Parallel Plate System

Publication ,  Journal Article
Culver, DR; Dowell, EH
Published in: Journal of Vibration and Acoustics
October 1, 2017

The root-mean-square (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 considered is: 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 statistical energy analysis (SEA).

Duke Scholars

Published In

Journal of Vibration and Acoustics

DOI

EISSN

1528-8927

ISSN

1048-9002

Publication Date

October 1, 2017

Volume

139

Issue

5

Related Subject Headings

  • Acoustics
  • 4017 Mechanical engineering
  • 4005 Civil engineering
  • 0915 Interdisciplinary Engineering
  • 0913 Mechanical Engineering
  • 0905 Civil Engineering
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Culver, D. R., & Dowell, E. H. (2017). High Frequency Analysis of a Point-Coupled Parallel Plate System. Journal of Vibration and Acoustics, 139(5). https://doi.org/10.1115/1.4036212
Culver, D. R., and E. H. Dowell. “High Frequency Analysis of a Point-Coupled Parallel Plate System.” Journal of Vibration and Acoustics 139, no. 5 (October 1, 2017). https://doi.org/10.1115/1.4036212.
Culver DR, Dowell EH. High Frequency Analysis of a Point-Coupled Parallel Plate System. Journal of Vibration and Acoustics. 2017 Oct 1;139(5).
Culver, D. R., and E. H. Dowell. “High Frequency Analysis of a Point-Coupled Parallel Plate System.” Journal of Vibration and Acoustics, vol. 139, no. 5, Oct. 2017. Scopus, doi:10.1115/1.4036212.
Culver DR, Dowell EH. High Frequency Analysis of a Point-Coupled Parallel Plate System. Journal of Vibration and Acoustics. 2017 Oct 1;139(5).

Published In

Journal of Vibration and Acoustics

DOI

EISSN

1528-8927

ISSN

1048-9002

Publication Date

October 1, 2017

Volume

139

Issue

5

Related Subject Headings

  • Acoustics
  • 4017 Mechanical engineering
  • 4005 Civil engineering
  • 0915 Interdisciplinary Engineering
  • 0913 Mechanical Engineering
  • 0905 Civil Engineering