Vibro-acoustic optimization using the moebius transformation

Y. Zhang, D. W. Herrin

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In complex variable analysis, the Moebius transformation maps straight lines or circles in one complex domain into straight lines or circles in another. In acoustic and dynamics, amplitude and phase information is frequently plotted in the complex plane. It is observed that the equations relating acoustic or mechanical impedance modifications to response under harmonic excitation at a certain frequency are in the form of Moebius transformation. Using the properties of the Moebius transformation, the optimal design that gives the desired response can be predicted. To prove the usefulness of this method in acoustic and mechanical system optimization, the approach is demonstrated for mufflers, enclosures and mounts. Impedance modifications are realized by changing duct dimensions for acoustic cases and adding mass for the mechanical case.

Original languageEnglish
Title of host publication21st International Congress on Sound and Vibration 2014, ICSV 2014
Pages2560-2567
Number of pages8
ISBN (Electronic)9781634392389
StatePublished - 2014
Event21st International Congress on Sound and Vibration 2014, ICSV 2014 - Beijing, China
Duration: Jul 13 2014Jul 17 2014

Publication series

Name21st International Congress on Sound and Vibration 2014, ICSV 2014
Volume3

Conference

Conference21st International Congress on Sound and Vibration 2014, ICSV 2014
Country/TerritoryChina
CityBeijing
Period7/13/147/17/14

ASJC Scopus subject areas

  • Acoustics and Ultrasonics

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