IUTAM Symposium on Asymptotics, Singularities and Homogenisation in Problems of Mechanics pp 137-145 | Cite as

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

Conference paper

## Abstract

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.

## Keywords

Low-frequency asymptotic elastic Saint-Venant rectangle## Preview

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## References

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## Copyright information

© Kluwer Academic Publishers 2003