In-plane and out-of-plane bending vibration analysis of the laminated composite beams using higher-order theories

issue 14(2)2024
Published Jul 31, 2024
https://doi.org/10.46223/HCMCOUJS.acs.en.14.2.55.2024
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Received: 2024-05-28
Accepted: 2024-07-10
Published: 2024-07-31
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14(2)2024

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Ramazan-Ali Jafari-Talookolaei - ramazanali@gmail.com
Babol Noshirvani University of Technology, Babol, Iran

Abstract

In this paper, relatively new higher-order shear deformation theories are presented for a thorough analysis of the in-plane and out-of-plane vibrational characteristics of laminated composite beams. Through the introduction of new displacement fields and the consideration of rotary inertia and Poisson’s effect, the kinetic and potential energies of the beams have been derived. This formulation, displaying significant generality, accommodates arbitrary stacking sequences. Utilizing the finite element method, a new element has been presented for calculating the beam’s vibrational characteristics. Featuring three nodes, each with seven degrees of freedom, this higher-order element provides a detailed representation of complex behaviors. Mass and stiffness matrices were derived using the energy method, and boundary conditions were applied through the penalty approach. The results exhibit a good degree of consistency and alignment with those obtained from the 3D commercial software ANSYS, validating the accuracy and reliability of the proposed methodology for structural analysis. This comprehensive approach contributes to advancing the understanding and modeling of laminated composite beams in diverse engineering applications. The effects of different parameters on the in-plane and out-of-plane vibration analysis of laminated composite beams have been investigated in detail.

Keywords

free vibration, higher-order theories, in-plane, laminated composite beam, out-of-plane

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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite
Jafari-Talookolaei, R.-A. (2024). In-plane and out-of-plane bending vibration analysis of the laminated composite beams using higher-order theories. HCMCOU Journal of Science – Advances in Computational Structures, 14(2), 3–22. https://doi.org/10.46223/HCMCOUJS.acs.en.14.2.55.2024
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