The Two-Term Interior Asymptotic Expansion in the Case of Low-frequency Longitudinal Vibrations of an Elongated Elastic Rectangle
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.
KeywordsLow-frequency asymptotic elastic Saint-Venant rectangle
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