Torsional vibration of pretwisted thin-walled cantilevered I-beams

O. G. Mcgee, M. I. Owings, J. W. Harris

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


Analytical natural frequencies and mode shapes are derived for the torsional vibration of pretwisted thin-walled cantilevered I-beams. A multifilament model of a pretwisted thin-walled I-beam undergoing warp deformation and a moderately large twist about the axis of shear centers is used to derive the nonlinear boundary-value equations. Exact torsional vibration solutions are derived from the linear terms of the nonlinear boundary-value equations. The individual and collective effects of warping and pretwist are quantified for the first three modes of torsional vibration of cantilevered I-beams having a wide spectrum of length-to-leg (L/b) and leg-to-thickness (b/t) ratios.

Original languageEnglish
Pages (from-to)47-56
Number of pages10
JournalComputers and Structures
Issue number1
StatePublished - Apr 3 1993


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