The Two-Term Interior Asymptotic Expansion in the Case of Low-frequency Longitudinal Vibrations of an Elongated Elastic Rectangle

  • E. Babenkova
  • J. Kaplunov
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 113)


The two-term interior asymptotic expansion is derived for low-frequency longitudinal vibrations of an elongated elastic rectangle. The consideration starts from the second-order theory of plate extension with the second-order boundary conditions involving a dynamic correction.

A multi-parametric nature of the associated stress state is emphasized. The contribution of the self-equilibrated component of end data is investigated.


Low-frequency asymptotic elastic Saint-Venant rectangle 


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Copyright information

© Kluwer Academic Publishers 2003

Authors and Affiliations

  • E. Babenkova
    • 1
  • J. Kaplunov
    • 1
  1. 1.Department of MathematicsThe University of ManchesterManchesterUK

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