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Power Spectral Density Analysis of Acoustically Induced Vibration in Piping Systems

[+] Author Affiliations
Ahmed H. Dweib

WorleyParsons, Atyrau, Kazakhstan

Paper No. PVP2012-78422, pp. 111-117; 7 pages
  • ASME 2012 Pressure Vessels and Piping Conference
  • Volume 3: Design and Analysis
  • Toronto, Ontario, Canada, July 15–19, 2012
  • Conference Sponsors: Pressure Vessels and Piping Division
  • ISBN: 978-0-7918-5502-7
  • Copyright © 2012 by ASME


Acoustically induced vibration near points of large pressure reduction in piping systems can cause fatigue failure of the piping material at points of discontinuity.

Empirical design curves have been used extensively for the assessment of acoustic fatigue risk level in piping systems. Subsequent development in the field resulted in the application of more detailed methods of analysis including, displacement-based and energy-based Finite Element Analysis (FEA) and Statistical Energy Analysis (SEA).

Displacement-based FEA, which provides deterministic approach for the detailed analysis of the vibration response, is suitable for low and intermediate frequency range where the dynamic stresses in the pipe wall can be determined with reasonable certainty.

For large complicated systems and high frequency range, the deterministic FEA becomes impractical due to the large number of mode shapes involved and the sensitivity of the results to small changes in system parameters. In these cases, the results of the FEA can have only a statistical value and SEA methods, which are based on statistical approach in contrast to deterministic approach, become more effective. SEA methods require accurate estimation of energy coupling parameters, on which the validity of the methods is dependent.

In this paper, energy-based FEA is utilized for the evaluation of the system response and the SEA parameters. Power Spectral Density (PSD) analysis is performed for finite element model of a system consisting of pipe and acoustic fluid. The system is subjected to acoustically induced vibration through the input of acoustic energy at the downstream of a pressure-reducing valve. The system response is obtained and the parameters required for SEA, including the coupling power factor, are estimated.

Copyright © 2012 by ASME



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