Finite element eigenvalue analysis of tapered and twisted Timoshenko beams

R. S. Gupta; S. S. Rao

doi:10.1016/S0022-460X(78)80014-5

Finite element eigenvalue analysis of tapered and twisted Timoshenko beams

R. S. Gupta, S. S. Rao

Research output: Contribution to journal › Article

81 Scopus citations

Abstract

The stiffness and mass matrices of a twisted beam element with linearly varying breadth and depth are derived. The angle of twist is assumed to vary linearly along the length of the beam. The effects of shear deformation and rotary inertia are considered in deriving the elemental matrices. The first four natural frequencies and mode shapes are calculated for cantilever beams of various depth and breadth taper ratios at different angles of twist. The results are compared with those available in the literature.

Original language	English (US)
Pages (from-to)	187-200
Number of pages	14
Journal	Journal of Sound and Vibration
Volume	56
Issue number	2
DOIs	https://doi.org/10.1016/S0022-460X(78)80014-5
State	Published - Jan 22 1978
Externally published	Yes

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ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Acoustics and Ultrasonics
Mechanical Engineering

Cite this

Gupta, R. S., & Rao, S. S. (1978). Finite element eigenvalue analysis of tapered and twisted Timoshenko beams. Journal of Sound and Vibration, 56(2), 187-200. https://doi.org/10.1016/S0022-460X(78)80014-5

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AB - The stiffness and mass matrices of a twisted beam element with linearly varying breadth and depth are derived. The angle of twist is assumed to vary linearly along the length of the beam. The effects of shear deformation and rotary inertia are considered in deriving the elemental matrices. The first four natural frequencies and mode shapes are calculated for cantilever beams of various depth and breadth taper ratios at different angles of twist. The results are compared with those available in the literature.

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Access to Document

10.1016/S0022-460X(78)80014-5