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Improved Analysis of Nonlinear Vibrations in Orthotropic Laminated Composite Beams Using Homogenization Techniques

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Abstract:

This work presents a theoretical and numerical study on the nonlinear free vibrations of orthotropic laminated composite beams, with a focus on different material orientations such as cross-ply, balanced, and woven configurations. Based on the Euler-Bernoulli beam theory and Von Karman’s geometric nonlinearity, we develop an analytical and matrix formulation using Hamilton’s principle. The novelty lies in the use of a homogenization approach to derive equivalent stiffness properties, allowing the comparison between symmetrical and asymmetrical composite beams. Despite limitations inherent to Euler-Bernoulli assumptions, results show the significant influence of layer orientation on the nonlinear frequency and displacement behavior. This study is valuable for structural applications in aerospace and mechanical systems.

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Periodical:

Construction Technologies and Architecture (Volume 21)

Pages:

97-104

DOI:

https://doi.org/10.4028/p-5kbX9e

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Online since:

January 2026

Authors:

Kossi Hubert Vowogbe*, Merrimi El Bekkaye

Keywords:

Composite Materials, Euler-Bernoulli Beam Theory, Homogenization, Nonlinear Dynamics, Vibration Analysis

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© 2026 Trans Tech Publications Ltd. All Rights Reserved

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