Open AccessAxisymmetric wave propagation on a conical shell
Author(s) -
N. H. Fletcher
Publication year - 1982
Publication title -
the journal of the acoustical society of america
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.619
H-Index - 187
eISSN - 1520-8524
pISSN - 0001-4966
DOI - 10.1121/1.387986
Subject(s) - conical surface , axial symmetry , physics , transverse plane , vertex (graph theory) , rotational symmetry , wave propagation , shell (structure) , mathematical analysis , classical mechanics , geometry , mechanics , mathematics , optics , graph , quantum mechanics , materials science , structural engineering , discrete mathematics , engineering , composite material
Equations are derived to describe the propagation of axially symmetric waves generated at the apex of a conical shell, taking into account the coupling between longitudinal and transverse waves. A form of approximate solution is proposed, based upon the Green's function for wave propagation on a fiat plate but containing several variational parameters, the number of which can be reduced to one if additional approximations are made. It is shown that the region of the cone near the vertex moves amost like a rigid body, but the motion becomes wavelike at a distance from the vertex which decreases
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