ON THE FUNDAMENTAL FREQUENCY OF BEAMS CARRYING A POINT MASS: RAYLEIGH APPROXIMATIONS VERSUS EXACT SOLUTIONS

The problem of the fundamental frequency of beams carrying a point mass is reconsidered for beams with various classical end conditions. It is shown that the resulting formulas can be put in reasonably simple forms in the special cases where the beam is symmetrically supported. The corresponding exa...

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Bibliographic Details
Published in:Journal of sound and vibration 2000-02, Vol.230 (2), p.449-459
Main Author: Turhan, O
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Structural and continuum mechanics
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
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Summary:The problem of the fundamental frequency of beams carrying a point mass is reconsidered for beams with various classical end conditions. It is shown that the resulting formulas can be put in reasonably simple forms in the special cases where the beam is symmetrically supported. The corresponding exact frequency equation is also given for each case, and the results are compared in a broad range of the relevant parameters to elucidate the validity limits of the formulas. (CSA)
ISSN:0022-460X
1095-8568
DOI:10.1006/jsvi.1999.2498