Doubly Symmetric Tube Structures. II: Dynamic Analysis
This article has been corrected.
VIEW CORRECTIONThis article is a reply.
VIEW THE ORIGINAL ARTICLEPublication: Journal of Structural Engineering
Volume 119, Issue 7
Abstract
This paper presents simplified analytical methods and closed‐form approximate solutions for free and forced vibrations of a doubly symmetric tube structure to use in preliminary stages of the design. The governing equations proposed in the companion paper are modified to a simplified differential equation expressed in terms of the lateral deflections. It includes the effect of the bending, transverse shear deformation, and shear lag. First, the natural frequencies for a uniform tube structure are presented in closed form. Natural frequencies for variable tube structures are formulated by means of the Galerkin method and in the closed‐form approximate solutions. Second, a dynamic analysis for a variable tube structure is proposed in closed‐form approximate solution. The validity of these solutions is shown from numerical results.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Craig, R. R. (1981). “Structural dynamics.” John Wiley and Sons, New York, N.Y.
2.
Herrmann, G. (1955). “Forced motions of Timoshenko beams.” J. Appl. Mech. Trans. ASME, 22(2), 53–56.
3.
Takabatake, H., Mukai, H., and Hirano, T. “Doubly symmetric tube structures. I: Static analysis.” J. Struct. Engrg., ASCE, 119(7).
4.
Young, D. (1962). “Continuous systems.” Handbook of engineering mechanics, W. Flügge, ed., McGraw‐Hill, New York, N.Y., 1–34.
Information & Authors
Information
Published In
Copyright
Copyright © 1993 American Society of Civil Engineers.
History
Received: Jun 30, 1992
Published online: Jul 1, 1993
Published in print: Jul 1993
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.