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Reflected Flexural and Torsional Waves in an Infinite Bar due to an Elastic Support
Author(s) -
Butler John B.
Publication year - 1963
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19630430705
Subject(s) - amplitude , perturbation (astronomy) , bar (unit) , physics , rigidity (electromagnetism) , mechanics , classical mechanics , mathematical analysis , optics , mathematics , quantum mechanics , meteorology
Formulas are given for the complex amplitude densities of reflected flexural and torsional waves in the infinite bar, due to an elastic support of finite length, in terms of the complex amplitude densities of the incident waves. It is proved that the series obtained by the perturbation method for calculation of the amplitude densities converges provided that the incident waves have frequencies restricted to a fixed finite band and that the coefficients of rigidity of the elastic support are sufficiently small in magnitude.