ON THE EIGENCHARACTERISTICS OF LONGITUDINALLY VIBRATING RODS WITH A CROSS-SECTION DISCONTINUITY

The effect of a cross-section discontinuity on the eigencharacteristics of longitudinally vibrating rods is studied. Certain general features of the dependence of the eigenvalues and eigenfunctions on the position and magnitude of the cross-section change are determined and closed-form formulas are...

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Bibliographic Details
Published in:Journal of sound and vibration 2001-11, Vol.248 (1), p.167-177
Main Author: Turhan, O
Format: Article
Language:English
Subjects:
Acoustics
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Structural acoustics and vibration
Structural and continuum mechanics
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
Vibrations and mechanical waves
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Summary:The effect of a cross-section discontinuity on the eigencharacteristics of longitudinally vibrating rods is studied. Certain general features of the dependence of the eigenvalues and eigenfunctions on the position and magnitude of the cross-section change are determined and closed-form formulas are proposed that approximately describe this functional dependence. Although the interest is focused on the longitudinal vibrations of rods in this study, it should be noted that due to the mathematical equivalence and physical conjugacy of the problems, all the results are equally applicable to the torsional vibrations of bars and wave propagation in pipes with cross-section discontinuities by appropriate redefinition of the parameters betaq and gamma. (CSA)
ISSN:0022-460X
1095-8568
DOI:10.1006/jsvi.2001.3680