Skip to main content
SpringerLink
Log in

Vibrating cylinder in a cylindrical duct filled with an incompressible fluid of low viscosity

  • Original Papers
  • Published:
Acta Mechanica Aims and scope Submit manuscript

Summary

The dynamic interaction of an elastically supported rigid cylinder and a surrounding incompressible fluid in a coaxial cylindrical duct is studied. Attention is focussed on a fluid of low viscosity so that conventional approaches lead to uncertain results. Here a singular perturbation analysis is performed which overcomes the difficulties. As a quantitative result, the complex-valued eigenvalue of the vibrating body in the fluid is computed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Chen, S. S., Wambsganss, M. W., Jendrzejczyk, J. A.: Added mass and damping of a vibrating rod in confined viscous fluids. J. Appl. Mech.43, 325–329 (1976).

    Google Scholar 

  2. Horacec, J., Zolotarev, I.: Acoustic-structural coupling of vibrating cylindrical shells with flowing fluid. J. Fluids Struct.5, 487–501 (1991).

    Google Scholar 

  3. Paídoussis, M. P., Nguyen, V. B., Misra, A. K.: A theoretical study of the stability of cantilevered coaxial cylindrical shells conveying fluid. J. Fluids Struct.5, 127–164 (1991).

    Google Scholar 

  4. Seemann, W., Wauer, J.: Fluid-structural coupling of vibrating bodies in a surrounding confined liquid (in preparation).

  5. Weidenhammer, F.: Eigenfrequenzen eines Stabes im zylindrischen Luftraum. Z. Angew. Math. Mech.55, T187-T190 (1975).

    Google Scholar 

Download references

Author information

Author notes

  1. W. Seemann

    Present address: Institut für Mechanik, Technische Hochschule Darmstadt, Hochschulstrasse 1, D-64289, Darmstadt, Germany

  2. J. Wauer

    Present address: Institut für Technische Mechanik, Universität Karlsruhe, D-76128, Karlsruhe, Germany

Authors and Affiliations

    Authors
    1. W. Seemann
      View author publications

      You can also search for this author in PubMed Google Scholar

    2. J. Wauer
      View author publications

      You can also search for this author in PubMed Google Scholar

    Rights and permissions

    Reprints and permissions

    About this article

    Cite this article

    Seemann, W., Wauer, J. Vibrating cylinder in a cylindrical duct filled with an incompressible fluid of low viscosity. Acta Mechanica 113, 93–107 (1995). https://doi.org/10.1007/BF01212636

    Download citation

    • Received:

    • Issue Date:

    • DOI: https://doi.org/10.1007/BF01212636

    Keywords

    Search

    Navigation