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Free vibration of axially loaded thin-walled composite Timoshenko beams

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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.

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  1. Thuc Phuong Vo

    Present address: Department of Engineering, University of Liverpool, Brownlow Street, Liverpool, L69 3GQ, UK

Authors and Affiliations

  1. Department of Architectural Engineering, Sejong University, 98 Kunja Dong, Kwangjin Ku, Seoul, 143-747, Korea

    Thuc Phuong Vo & Jaehong Lee

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  1. Thuc Phuong Vo
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  2. Jaehong Lee
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Correspondence to Jaehong Lee.

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Vo, T.P., Lee, J. Free vibration of axially loaded thin-walled composite Timoshenko beams. Arch Appl Mech 81, 1165–1180 (2011). https://doi.org/10.1007/s00419-010-0477-9

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  • DOI: https://doi.org/10.1007/s00419-010-0477-9

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