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Journals / International Journal of Engineering and Applied Sciences / 2025 / Volume: 17 Issue: 4

Size-Dependent Analysis of Perforated Timoshenko Microbeams with Graded Porosity Using the Chebyshev Collocation Method

İbrahim Keles(Samsun Üniversitesi)0000-0001-8252-2635
Pages
—
Publication Date
2025-12-31
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AI Summary & Key Takeaways

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

The findings demonstrate that the Chebyshev collocation method framework provides a robust and efficient tool for the design and optimization of next-generation perforated microstructures.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Perforated microbeams are widely employed in micro- and nano-electromechanical systems due to their lightweight structures and tunable mechanical properties.
📊
Key Findings & Data:This study develops a comprehensive framework for the static, dynamic, and electrostatic behavior of perforated Timoshenko microbeams with graded porosity, based on the Chebyshev collocation method.
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Conclusion & Impact:The findings demonstrate that the Chebyshev collocation method framework provides a robust and efficient tool for the design and optimization of next-generation perforated microstructures.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Perforated microbeam · Chebyshev Collocation Method Graded · Porosity

Abstract

Perforated microbeams are widely employed in micro- and nano-electromechanical systems due to their lightweight structures and tunable mechanical properties. At small scales, however, classical elasticity fails to capture size effects and porosity-induced stiffness variations. This study develops a comprehensive framework for the static, dynamic, and electrostatic behavior of perforated Timoshenko microbeams with graded porosity, based on the Chebyshev collocation method. The model integrates nonlocal elasticity to account for size effects, graded porosity distributions to represent realistic microstructural variations, and electrostatic actuation to analyze pull-in instability. Validation against published results confirms the accuracy and efficiency of the proposed approach. Parametric investigations reveal that porosity distribution strongly affects stiffness and deflection responses, while size-dependent effects enhance rigidity and increase natural frequencies. Electrostatic pull-in voltage is found to increase with both porosity ratio and length scale parameter, indicating improved stability for micro- and nano-electromechanical systems devices. The findings demonstrate that the Chebyshev collocation method framework provides a robust and efficient tool for the design and optimization of next-generation perforated microstructures.

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Cite This Article

Keles, İ. (2025). Size-Dependent Analysis of Perforated Timoshenko Microbeams with Graded Porosity Using the Chebyshev Collocation Method. International Journal of Engineering and Applied Sciences, Volume: 17 Issue: 4. https://doi.org/10.24107/ijeas.1806663

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