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Flexural vibrations of circular beams

Silverman, I.K.

For circular cylindrical beams, the Timoshenko theory, which includes shear and rotary effects, can be applied by introducing a constant K' = 0.9. The study presented here takes into account the actual configuration and thus makes it an integral part of the analysis. A variational approach previously used (7) is followed. A simplification of the three-dimensional problem is obtained using the inverse method due to St. Venant. A biquadratic equation yields numerical results for the natural frequencies of the first three modes for the following cases: simply supported, fixed-fixed, free-free and fixed-free.

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Flexural vibrations of circular beams

Silverman, I.K.

For circular cylindrical beams, the Timoshenko theory, which includes shear and rotary effects, can be applied by introducing a constant K' = 0.9. The study presented here takes into account the actual configuration and thus makes it an integral part of the analysis. A variational approach previously used (7) is followed. A simplification of the three-dimensional problem is obtained using the inverse method due to St. Venant. A biquadratic equation yields numerical results for the natural frequencies of the first three modes for the following cases: simply supported, fixed-fixed, free-free and fixed-free.

Flexural vibrations of circular beams

Silverman, I.K.

For circular cylindrical beams, the Timoshenko theory, which includes shear and rotary effects, can be applied by introducing a constant K' = 0.9. The study presented here takes into account the actual configuration and thus makes it an integral part of the analysis. A variational approach previously used (7) is followed. A simplification of the three-dimensional problem is obtained using the inverse method due to St. Venant. A biquadratic equation yields numerical results for the natural frequencies of the first three modes for the following cases: simply supported, fixed-fixed, free-free and fixed-free.

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Title:

Flexural vibrations of circular beams

Contributors:

Silverman, I.K. (author)

Published in:

Journal of Sound and Vibration ; 210 ; 661-672

Publication date:

1998

Size:

12 Seiten, 10 Quellen

ISSN:

DOI:

https://doi.org/10.1006/jsvi.1997.1340

Type of media:

Article (Journal)

Type of material:

Print

Language:

English

Keywords:

numerisches Verfahren , Problemlösung , mathematisches Modell , Variationsrechnung , inverses Problem , Modalanalyse , Biegeschwingung

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