Torsional vibration of pretwisted thin-walled cantilevered I-beams

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

doi:10.1016/0045-7949(93)90277-K

Torsional vibration of pretwisted thin-walled cantilevered I-beams

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

Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

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 language	English
Pages (from-to)	47-56
Number of pages	10
Journal	Computers and Structures
Volume	47
Issue number	1
DOIs	https://doi.org/10.1016/0045-7949(93)90277-K
State	Published - Apr 3 1993

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abstract = "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.",

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AU - Mcgee, O. G.

AU - Owings, M. I.

AU - Harris, J. W.

PY - 1993/4/3

Y1 - 1993/4/3

N2 - 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.

AB - 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.

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SP - 47

EP - 56

JO - Computers and Structures

JF - Computers and Structures

IS - 1

ER -

Torsional vibration of pretwisted thin-walled cantilevered I-beams

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