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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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https://hal.inria.fr/hal-01133925
Contributor : Michel Kern <>
Submitted on : Friday, March 20, 2015 - 4:18:34 PM
Last modification on : Thursday, February 7, 2019 - 4:59:37 PM
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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. ⟨hal-01133925⟩

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