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Steel and Composite Structures
  Volume 33, Number 4, November25 2019 , pages 473-487

Shear-deformable finite element for free vibrations of laminated composite beams with arbitrary lay-up
Volkan Kahya, Sebahat Karaca and Thuc P. Vo

    A shear-deformable finite element model (FEM) with five nodes and thirteen degrees of freedom (DOFs) for free vibrations of laminated composite beams with arbitrary lay-up is presented. This model can be capable of considering the elastic couplings among the extensional, bending and torsional deformations, and the Poisson's effect. Lagrange's principle is employed in derivation of the equations of motion, and thus the element matrices are obtained. Comparisons of the present element's results with those in experiment, available literature and the 3D finite element analysis software (ANSYS®) are made to show its accuracy. Some further results are given as referencing for the future studies in vibrations of laminated composite beamst.
Key Words
    laminated composite beam; free vibration; finite element method; anisotropy
(1) Volkan Kahya, Sebahat Karaca:
Karadeniz Technical University, Faculty of Engineering, Department of Civil Engineering, 61080 Trabzon, Turkey;
(2) Thuc P. Vo:
School of Engineering and Mathematical Sciences, La Trobe University, Bundoora, VIC 3086, Australia.

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