Free vibration of axially loaded thin-walled composite Timoshenko beams

Vo, Thuc and Lee, Jaehong (2011) Free vibration of axially loaded thin-walled composite Timoshenko beams. Archive of Applied Mechanics, 81 (9). pp. 1165-1180. ISSN 0939-1533

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Official URL: http://dx.doi.org/10.1007/s00419-010-0477-9

Abstract

Based on shear-deformable beam theory, free vibration of thin-walled composite Timoshenko beams with arbitrary layups under a constant axial force is presented. This model accounts for all the structural coupling coming from material anisotropy. Governing equations for flexural-torsional-shearing coupled vibrations are derived from Hamilton’s principle. The resulting coupling is referred to as sixfold coupled vibrations. A displacement-based one-dimensional finite element model is developed to solve the problem. Numerical results are obtained for thin-walled composite beams to investigate the effects of shear deformation, axial force, fiber angle, modulus ratio on the natural frequencies, corresponding vibration mode shapes and load–frequency interaction curves.

Item Type: Article
Uncontrolled Keywords: Thin-walled composite Timoshenko beams, shear deformation, sixfold coupled vibrations, axial force
Subjects: H200 Civil Engineering
H300 Mechanical Engineering
Department: Faculties > Engineering and Environment > Mechanical and Construction Engineering
Depositing User: Thuc Vo
Date Deposited: 21 Oct 2013 08:50
Last Modified: 17 Dec 2023 14:33
URI: https://nrl.northumbria.ac.uk/id/eprint/14091

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