Unified analytical solution for various boundary conditions for the coupled flexural-torsional vibration of beams subjected to axial loads and end moments

Joshi, A and Suryanarayan, S (1989) Unified analytical solution for various boundary conditions for the coupled flexural-torsional vibration of beams subjected to axial loads and end moments. Journal of Sound and Vibration, 129 . pp. 313-326. ISSN 0022-460X

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Abstract

The free vibration of a statically loaded doubly symmetric thin-walled isotropic homogeneous beam with different end conditions is investigated analytically. The formulation of the governing equations is outlined, and numerical results for uncoupled flexural and coupled flexural-torsional vibration are presented in extensive tables and graphs and discussed in detail. The approximate values obtained are shown to be within 3 percent of the exact solutions, and it is demonstrated that the present solutions reduce to those for a beam-column when the moment is absent.

Item Type: Journal Article
Additional Information: Copyright for this article belongs to Elsevier Science Ltd.
Uncontrolled Keywords: Axial loads;Beams(supports);Elastic damping;Free vibration;Thin bodies;Torsional vibration;Saint venant principle;Static loads; Vibration mode
Subjects: ENGINEERING > Structural Mechanics
Division/Department: Structures Division, Structures Division
Depositing User: shankar sk nadoor
Date Deposited: 06 Nov 2006
Last Modified: 24 May 2010 09:53
URI: http://nal-ir.nal.res.in/id/eprint/3308

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