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Journals / European Mechanical Science / 2020 / Cilt: 4 - Sayı: 1

Static Analysis of FG Beams via Complementary Functions Method

Ahmad Reshad NOORİ
Timuçin Alp ASLAN
Beytullah TEMEL
Pages
1–6
Publication Date
2022-10-12
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Application of this efficient method provides accurate results of static response for FGM beams with different variations of material properties in the thickness of the beam.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Static analysis of Functionally Graded (FG) beams is studied by the Complementary Functions Method (CFM).
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Key Findings & Data:The material properties, Young’s modulus, of the straight beams, are graded in the thickness direction based on a power law distribution while the Poisson’s ratio is supposed to be constant.
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Conclusion & Impact:Application of this efficient method provides accurate results of static response for FGM beams with different variations of material properties in the thickness of the beam.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Functionally graded beams · Complementary Functions Method (CFM) · Static Analysis

Abstract

Static analysis of Functionally Graded (FG) beams is studied by the Complementary Functions Method (CFM). The material properties, Young’s modulus, of the straight beams, are graded in the thickness direction based on a power law distribution while the Poisson’s ratio is supposed to be constant. Governing equations of the considered problem are obtained with the aid of minimum total potential energy principle based on Timoshenko’s beam theory (FSDT). The main purpose of this paper is the infusion of the CFM to the static analysis of FG straight beams. The effectiveness and accuracy of the proposed method are confirmed by comparing its numerical results with those available in the literature. Application of this efficient method provides accurate results of static response for FGM beams with different variations of material properties in the thickness of the beam.

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Cite This Article

NOORİ, A. R., ASLAN, T. A., TEMEL, B. (2022). Static Analysis of FG Beams via Complementary Functions Method. European Mechanical Science, Cilt: 4 - Sayı: 1, 1–6. https://ajindex.com/articles/512429

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