Free vibration of axially loaded thin-walled composite Timoshenko beams |
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Authors: | Thuc Phuong Vo Jaehong Lee |
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Affiliation: | 1.Department of Architectural Engineering,Sejong University,Seoul,Korea;2.Department of Engineering,University of Liverpool,Liverpool,UK |
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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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