Closure to “On the Comparison of Timoshenko and Shear Models in Beam Dynamics” by Noël Challamel
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VIEW THE ORIGINAL ARTICLEPublication: Journal of Engineering Mechanics
Volume 134, Issue 3
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Acknowledgments
Prof. Aristizabal-Ochoa and Prof. Kausel are thanked for their stimulating discussions.
References
Anderson, R. A. (1953). “Flexural vibrations in uniform beams according to the Timoshenko theory.” J. Appl. Mech., 20(4), 504–510.
Aristizabal-Ochoa, J. D. (2004). “Timoshenko beam-column with generalized end conditions and nonclassical modes of vibration of shear beams.” J. Eng. Mech., 130(10), 1151–1159.
Dolph, C. L. (1954). “On the Timoshenko theory of transverse beam vibrations.” Q. Appl. Math., 12(2), 175–187.
Hodges, D. H. (2007). “Asymptotic derivation of shear beam theory from Timoshenko theory.” J. Eng. Mech., 133(8), 957–961.
Karnovsky, I. A., and Lebed, O. I. (2001). Formulas for structural dynamics: Tables, graphs and solutions, McGraw-Hill, New York.
Panovko, Y. G., and Gubanova, I. I. (1965). Stability and oscillations of elastic systems—Paradoxes, fallacies and new concepts, Consultants Bureau, New York.
Stephen, N. G. (2006). “The second spectrum of Timoshenko beam theory—Further assessment.” J. Sound Vib., 292, 372–389.
Stephen, N. G., and Puchegger, S. (2006). “On the valid frequency range of Timoshenko beam theory.” J. Sound Vib., 297, 1082–1087.
Traill-Nash, R. W., and Collar, A. R. (1953). “The effects of shear flexibility and rotatory inertia on the bending vibrations of beams.” Q. J. Mech. Appl. Math., 6, 186–222.
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© 2008 ASCE.
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Published online: Mar 1, 2008
Published in print: Mar 2008
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