Propagation of elastic surface waves along a cylindrical cavity of arbitrary cross section

Abstract : The propagation of elastic surface waves, guided by the free surface of an infinitely long cylinder of arbitrary cross section, is formulated as an eigenvalue problem for an unbounded self-adjoint operator. We prove the existence of a hierarchy of guided modes. Two of them propagate for any value of the wave number, whereas all of the others only exist beyond a cut-off wave number. For any fixed value of the wave number, only a finite number of modes propagate.
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M2AN_1991__25_1_1_0.pdf
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  • HAL Id : hal-01133925, version 1

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A Bamberger, P Joly, Michel Kern. Propagation of elastic surface waves along a cylindrical cavity of arbitrary cross section. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 1991, 25 (1), pp.30. 〈http://www.numdam.org/item?id=M2AN_1991__25_1_1_0〉. 〈hal-01133925〉

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