Further results for modal characteristics of rotating tapered Timoshenko beams
Further results for modal characteristics of rotating tapered Timoshenko beams
The in-plane and out-of plane modes of free vibration of a tapered Timoshenko beam mounted on the periphery of a rotating rigid hub are investigated. The finite element method is used to discretize the beam. This formulation permits unequal breadth and depth taper ratios as well as unequal element lengths. THe effects of shear deformation, rotary inertia, hub radius, setting angle, and spinning rotation are considered. The generalized eigenvalue problem is defined using explicit expressions for the mass and stiffness matrices and numerical solutions are generated for a wide range of parameter variations. Explicit expressions of Southwell coefficients are presented for the first time for the case of rotating uniform and tapered Timoshenko beams. Comparisons are made wherever possible with exact solutions and other numerical results available in the literature. Extended results are obtained to serve as a benchmark solution for other numerical techniques and specialized applications
157-174
Bazoune, A.
889b6a2a-d1da-49dd-b534-f497f39ca03f
Khulief, Y.A.
62812e4d-6846-4e03-bff5-0de5c0ebff2f
Stephen, N.G.
af39d0e9-b190-421d-86fe-28b793d5bca3
1999
Bazoune, A.
889b6a2a-d1da-49dd-b534-f497f39ca03f
Khulief, Y.A.
62812e4d-6846-4e03-bff5-0de5c0ebff2f
Stephen, N.G.
af39d0e9-b190-421d-86fe-28b793d5bca3
Bazoune, A., Khulief, Y.A. and Stephen, N.G.
(1999)
Further results for modal characteristics of rotating tapered Timoshenko beams.
Journal of Sound and Vibration, 219 (1), .
(doi:10.1006/jsvi.1998.1906).
Abstract
The in-plane and out-of plane modes of free vibration of a tapered Timoshenko beam mounted on the periphery of a rotating rigid hub are investigated. The finite element method is used to discretize the beam. This formulation permits unequal breadth and depth taper ratios as well as unequal element lengths. THe effects of shear deformation, rotary inertia, hub radius, setting angle, and spinning rotation are considered. The generalized eigenvalue problem is defined using explicit expressions for the mass and stiffness matrices and numerical solutions are generated for a wide range of parameter variations. Explicit expressions of Southwell coefficients are presented for the first time for the case of rotating uniform and tapered Timoshenko beams. Comparisons are made wherever possible with exact solutions and other numerical results available in the literature. Extended results are obtained to serve as a benchmark solution for other numerical techniques and specialized applications
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bazo_99.pdf
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Submitted date: 29 January 1998
Published date: 1999
Identifiers
Local EPrints ID: 43732
URI: http://eprints.soton.ac.uk/id/eprint/43732
ISSN: 0022-460X
PURE UUID: 65a5cf13-5ca9-43fe-9fe7-f7a69f2f9b97
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Date deposited: 01 Feb 2007
Last modified: 15 Mar 2024 08:56
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Author:
A. Bazoune
Author:
Y.A. Khulief
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