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Dergiler / International Journal of Engineering and Applied Sciences / 2026 / Volume: 17 Issue: 1

A new iterative method for free vibration analysis of a FG Timoshenko beam

Hayrullah Gün Kadıoğlu(ISTANBUL AREL UNIVERSITY)0000-0001-7370-2722
Mustafa Özgür Yaylı(BURSA ULUDAG UNIVERSITY)0000-0003-2231-170X
Büşra Uzun(ULUDAĞ ÜNİVERSİTESİ)0000-0002-7636-7170
Sayfa
—
Yayın Tarihi
2025-05-01
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The results are validated through comparisons with existing studies in the literature and are illustrated with comprehensive tables and figures.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this study, the free vibration behavior of functionally graded Timoshenko beams is analyzed.
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Temel Bulgular & Veri:Applying appropriate boundary conditions yields a system of four linear equations, which constitute the coefficient matrix for various support scenarios.
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Sonuç & Katkı:The results are validated through comparisons with existing studies in the literature and are illustrated with comprehensive tables and figures.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Iterative method · functionally graded materials · Timoshenko beam theory

Abstract

In this study, the free vibration behavior of functionally graded Timoshenko beams is analyzed. The equations of motion are derived using Hamilton’s principle, resulting in fourth-order differential equations. By solving these equations, displacement and rotation functions are obtained. Applying appropriate boundary conditions yields a system of four linear equations, which constitute the coefficient matrix for various support scenarios. The fundamental frequencies are determined by identifying the points where the determinant of this matrix equals zero. To efficiently locate these points, a novel iterative method is proposed. The results are validated through comparisons with existing studies in the literature and are illustrated with comprehensive tables and figures.

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Bu Makaleye Atıf Yap

Kadıoğlu, H. G., Yaylı, M. Ö., Uzun, B. (2025). A new iterative method for free vibration analysis of a FG Timoshenko beam. International Journal of Engineering and Applied Sciences, Volume: 17 Issue: 1. https://doi.org/10.24107/ijeas.1625912

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