IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v175y2023ip1s0960077923009347.html
   My bibliography  Save this article

On the scattering of cylindrical elastic shell having trifurcation and structural variations at interfaces

Author

Listed:
  • Afzal, Muhammad
  • Alkinidri, Mohammed Omar
  • Safdar, Muhammad
  • Bilal, Hazrat

Abstract

The present research focuses on the study of how acoustic radiation modes behave in an elastic shell that has trifurcated junctions and structural variations. To express the vibration of a thin, flexible shell, the Donnell–Mushtari equations are utilized. These modes possess non-orthogonal characteristics and form a system that is linearly dependent. To analyze the scattering phenomenon in an elastic shell with a finite length that is connected to an extended trifurcated inlet and outlet with different ring conditions and step discontinuities, the mode-matching solution is developed. This approach uses continuity conditions for pressure and velocity modes, as well as generalized orthogonality conditions, to transform the differential systems into linear algebraic systems which are numerically solved after truncation. To ensure the accuracy of the algebraic calculations and the convergence of truncated coefficients, an energy flux identity based on the conservation law is developed and verified through continuity conditions. The results of numerical experiments conducted using the truncated solution offer valuable insights for designing effective noise reduction strategies in various industrial and engineering applications.

Suggested Citation

  • Afzal, Muhammad & Alkinidri, Mohammed Omar & Safdar, Muhammad & Bilal, Hazrat, 2023. "On the scattering of cylindrical elastic shell having trifurcation and structural variations at interfaces," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    • Handle: RePEc:eee:chsofr:v:175:y:2023:i:p1:s0960077923009347
    DOI: 10.1016/j.chaos.2023.114033
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077923009347
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2023.114033?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Muhammad Afzal & Naveed Akhtar & Mohammed Omar Alkinidri & Meshal Shutaywi, 2023. "A Mode-Matching Tailored-Galerkin Approach for Higher Order Interface Conditions and Geometric Variations," Mathematics, MDPI, vol. 11(3), pages 1-15, February.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Alruwaili, A.D. & Afzal, M. & Tanveer, M. & Alahmadi, H.N., 2024. "Analyzing monopole sources modeling with structural variations and material contrast: An analytical perspective," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:175:y:2023:i:p1:s0960077923009347. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.