TY - GEN
T1 - Practical tutorial on cylindrical structure vibro-acoustics part 1 - vibrations
AU - Hambric, Stephen A.
N1 - Publisher Copyright:
© 2022 Internoise 2022 - 51st International Congress and Exposition on Noise Control Engineering. All rights reserved.
PY - 2022
Y1 - 2022
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85147429385&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85147429385&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:85147429385
T3 - Internoise 2022 - 51st International Congress and Exposition on Noise Control Engineering
BT - Internoise 2022 - 51st International Congress and Exposition on Noise Control Engineering
PB - The Institute of Noise Control Engineering of the USA, Inc.
T2 - 51st International Congress and Exposition on Noise Control Engineering, Internoise 2022
Y2 - 21 August 2022 through 24 August 2022
ER -