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Flexural vibrations of circular beams
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
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. (Autor:in)
Journal of Sound and Vibration ; 210 ; 661-672
1998
12 Seiten, 10 Quellen
Aufsatz (Zeitschrift)
Englisch
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