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Journal Articles ESAIM: Mathematical Modelling and Numerical Analysis Year : 1991

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

Michel Kern

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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Dates and versions

hal-01133925 , version 1 (20-03-2015)

Identifiers

  • HAL Id : hal-01133925 , version 1

Cite

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, 1991, 25 (1), pp.30. ⟨hal-01133925⟩
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