Research Article
Mar 1970
Vibrations of Timoshenko Beams and Frameworks
Publication: Journal of the Structural Division
Volume 96, Issue 3
Abstract
A general matrix formulation suitable for a use of the digital computer is presented for dynamic analysis of frameworks composed of prismatic members. The dynamic stiffness coefficients are derived in the form of nondimensional parameters corresponding to the effects of rotatory inertia, shear deformation, and of bending deformation. The individual parameter may be dropped when the appropriate effect is not considered; hence, the stiffness coefficients can be applied to a problem with various considerations of Timoshenko theory, Rayleigh theory, bending and shear, and of Bernoulli-Euler theory. Input data for the computer include the configurations of the framework and the elastic properties of constituent members. The method may be applied to irregular frameworks composed of sloping members with and without sidesway. Numerical examples presented indicate that the effect of rotatory inertia and of shear deformation on the frequencies of frameworks without sidesway is more significant than that of swayed structures.
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Published In
Journal of the Structural Division
Volume 96 • Issue 3 • March 1970
Pages: 551 - 571
Copyright
© 1970 American Society of Civil Engineers.
History
Published in print: Mar 1970
Published online: Feb 1, 2021
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Franklin Y. Cheng, AM.ASCE
Assoc. Prof. of Civil Engrg., Univ. of Missouri-Rolla, Rolla, Mo.
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.