Uniqueness of solution for the Robin problem in high-frequency vibrations of elastic plates

The interior and exterior Robin boundary value problems are considered for the high-frequency harmonic oscillations of a plate with transverse shear deformation, and the uniqueness of their solutions is investigated in terms of eigenfrequencies and far-field radiation conditions.

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Bibliographische Detailangaben
Veröffentlicht in:	Applied mathematics letters 2011-04, Vol.24 (4), p.577-581
Hauptverfasser:	Thomson, G.R., Constanda, C.
Format:	Artikel
Sprache:	eng
Schlagworte:	Boundary value problems Eigenfrequencies Elastic plate Elastic plates Exact sciences and technology Exteriors Harmonic oscillation Harmonic oscillations Mathematical analysis Mathematics Numerical analysis Numerical analysis. Scientific computation Partial differential equations, boundary value problems Robin boundary conditions Sciences and techniques of general use Shear deformation Uniqueness Uniqueness theorems Vibration
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Beschreibung
Zusammenfassung:	The interior and exterior Robin boundary value problems are considered for the high-frequency harmonic oscillations of a plate with transverse shear deformation, and the uniqueness of their solutions is investigated in terms of eigenfrequencies and far-field radiation conditions.
ISSN:	0893-9659 1873-5452
DOI:	10.1016/j.aml.2010.11.017