This paper is concerned with an investigation into the existence of waves propagating along a free edge of an orthotropic plate, where the edge is inclined at arbitrary angle to a principal direction of the material. After deriving the governing equation and edge conditions, an edge wave ansatz is substituted into this system to reduce it to a set of algebraic equations for the edge wave wave number and wave vector. These are solved numerically for several typical composite materials although analytic expressions can be obtained in the case of special values of the material parameters and inclination angle. It is found that a unique edge wave solution, which generally exhibits oscillation as well as decay away from the free edge, exists in all cases, and its wave speed is independent of its direction of propagation along the plate.
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November 2002
October 25 2002
On the existence of flexural edge waves on thin orthotropic plates
Ian Thompson;
Ian Thompson
Department of Mathematics, University of Manchester, Oxford Road, Manchester M13 9PL, United Kingdom
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I. David Abrahams;
I. David Abrahams
Department of Mathematics, University of Manchester, Oxford Road, Manchester M13 9PL, United Kingdom
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Andrew N. Norris
Andrew N. Norris
Department of Mechanical and Aerospace Engineering, Rutgers University, Piscataway, New Jersey 08854-8058
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J. Acoust. Soc. Am. 112, 1756–1765 (2002)
Article history
Received:
January 11 2002
Accepted:
July 15 2002
Citation
Ian Thompson, I. David Abrahams, Andrew N. Norris; On the existence of flexural edge waves on thin orthotropic plates. J. Acoust. Soc. Am. 1 November 2002; 112 (5): 1756–1765. https://doi.org/10.1121/1.1506686
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