Abstract
The problem is reduced to a single Fredholm integral equation by using a superposition of two half-plane solutions. The treatment is exact within the theory of linear elastodynamics. Dissipation is introduced in the form of linear viscous dam** at the surface in order to overcome the mathematical difficulties which are associated with the nondecaying surface waves that occur when no dissipation is present.
Zusammenfassung
Das Problem ist durch Superposition zweier Lösungen in der Halbebene auf eine einzige Fredholmsche Integralgleichung Zurückgeführt. Die Formulierung ist exakt im Sinne linearer elasto-dynamischer Theorie. Energieverlust ist durch lineare, viskose Dämpfung an der Oberfläche eingeführt um mathematische Schwierigkeiten zu vermeiden die durch nicht abklingende Oberflächenwellen entstehen wenn keine Dämpfung vorhanden ist.
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References
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Bogy, D.B., Wang, K.C. Plane steady vibration of an orthogonal elastic wedge. J Elasticity 4, 1–16 (1974). https://doi.org/10.1007/BF00042398
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DOI: https://doi.org/10.1007/BF00042398