Analysis of the extreme acoustic pressure in multi-Fluid shell systems subjected to an external pulse

Authors

  • Serguei Iakovlev Dept. of Engineering Mathematics and Internetworking, Dalhousie University, NS, Canada
  • Kyle Williston Dept. of Engineering Mathematics and Internetworking, Dalhousie University, NS, Canada
  • Garrett Dooley Lunenburg Industrial Foundry and Engineering, Lunenburg, NS, Canada
  • Jonathan Gaudet O'Neil Scriven and Associates Ltd., Halifax, NS, Canada

Keywords:

Fourier series, Ordinary differential equations, Acoustic pressures, Circular cylindrical shells, Multi-fluids, Normal displacement, Radiation pressure, Shell theory

Abstract

A study that was conducted examine the extreme acoustic pressure in multi-fluid shell systems subjected to an external pulse is presented. A thin elastic circular cylindrical shell was considered, which was filled with and submerged into different fluids. It was assumed that the shell is thin enough, and that its deflections are small in comparison to its thickness, so that the linear shell theory can be employed. It was further assumed that the LoveKirchhoff hypothesis holds true. The pressure is then obtained as a Fourier series with time dependant coefficients which, for the radiation pressure depend on the unknown normal displacements of the shell. Then, the same series form is used for the shell displacements and, substituting them into the shell equations, researchers arrive at the systems of the ordinary differential equations for each of the displacement harmonics.

Downloads

Published

2011-09-01

How to Cite

1.
Iakovlev S, Williston K, Dooley G, Gaudet J. Analysis of the extreme acoustic pressure in multi-Fluid shell systems subjected to an external pulse. Canadian Acoustics [Internet]. 2011 Sep. 1 [cited 2022 May 22];39(3):204-5. Available from: https://jcaa.caa-aca.ca/index.php/jcaa/article/view/2482

Issue

Vol. 39 No. 3 (2011)

Section

Proceedings of the Acoustics Week in Canada

License

Copyright on articles is held by the author(s). The corresponding author has the right to grant on behalf of all authors and does grant on behalf of all authors, a worldwide exclusive licence (or non-exclusive license for government employees) to the Publishers and its licensees in perpetuity, in all forms, formats and media (whether known now or created in the future)
i)    to publish, reproduce, distribute, display and store the Contribution;
ii)    to translate the Contribution into other languages, create adaptations, reprints, include within collections and create summaries, extracts and/or, abstracts of the Contribution;
iii)    to exploit all subsidiary rights in the Contribution,
iv)    to provide the inclusion of electronic links from the Contribution to third party material where-ever it may be located;
v)    to licence any third party to do any or all of the above.

Most read articles by the same author(s)

1 2 > >>