Practical tutorial on cylindrical structure vibro-acoustics part 1 - vibrations

Stephen A. Hambric

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The mathematics which describe the vibroacoustic behavior of cylindrical structures are imposing to say the least. Part 1 of this practical tutorial demystifies cylindrical shell vibration theory by using measured data from actual shells and pipes to explain key concepts. For any shell, you can estimate frequency ranges where shells behave like simple beams and flat plates, greatly simplifying calculations of modes of vibration and mobilities. The key is first calculating the ring frequency - the frequency where membrane waves can propagate fully around the shell circumference. Simple infinite structure theory may then be used to compute mean mobilities for beam, shell, and flat plate behavior. Modes of vibration for a cylinder depend on both longitudinal and circumferential harmonics, or a helical wavenumber. Cremer's simple approximate resonance frequency formula is used to show examples for a large diameter short shell and a small diameter long shell (a pipe). In all cases in this tutorial, measurements and simple estimates agree well, showing that cylindrical shell vibrations may be estimated without difficult math or complex computer models.

Original languageEnglish (US)
Title of host publicationInternoise 2022 - 51st International Congress and Exposition on Noise Control Engineering
PublisherThe Institute of Noise Control Engineering of the USA, Inc.
ISBN (Electronic)9781906913427
StatePublished - 2022
Event51st International Congress and Exposition on Noise Control Engineering, Internoise 2022 - Glasgow, United Kingdom
Duration: Aug 21 2022Aug 24 2022

Publication series

NameInternoise 2022 - 51st International Congress and Exposition on Noise Control Engineering

Conference

Conference51st International Congress and Exposition on Noise Control Engineering, Internoise 2022
Country/TerritoryUnited Kingdom
CityGlasgow
Period8/21/228/24/22

All Science Journal Classification (ASJC) codes

  • Acoustics and Ultrasonics

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