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

İbrahim Keles

doi:10.24107/ijeas.1806663

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

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.

Keywords

Supporting Institution

No specific funding was received for this study.

Project Number

Not applicable

Ethical Statement

This study does not involve human participants or animals. Therefore, ethical approval was not required.

Thanks

The authors would like to thank the Mechanical Engineering Department of Samsun University for providing computational resources

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Details

Primary Language

English

Subjects

Numerical Methods in Mechanical Engineering, Microelectromechanical Systems (Mems)

Journal Section

Research Article

Authors

İbrahim Keles ^*
0000-0001-8252-2635
Türkiye

Publication Date

December 31, 2025

Submission Date

October 19, 2025

Acceptance Date

December 23, 2025

Published in Issue

Year 2025 Volume: 17 Number: 4

DOI

https://doi.org/10.24107/ijeas.1806663

IZ

https://izlik.org/JA54YL22WH

Cite

RIS / Bibtex

APA

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, 17(4), 213-228. https://doi.org/10.24107/ijeas.1806663

AMA

1.Keles İ. Size-Dependent Analysis of Perforated Timoshenko Microbeams with Graded Porosity Using the Chebyshev Collocation Method. IJEAS. 2025;17(4):213-228. doi:10.24107/ijeas.1806663

Chicago

Keles, İbrahim. 2025. “Size-Dependent Analysis of Perforated Timoshenko Microbeams With Graded Porosity Using the Chebyshev Collocation Method”. International Journal of Engineering and Applied Sciences 17 (4): 213-28. https://doi.org/10.24107/ijeas.1806663.

EndNote

Keles İ (December 1, 2025) Size-Dependent Analysis of Perforated Timoshenko Microbeams with Graded Porosity Using the Chebyshev Collocation Method. International Journal of Engineering and Applied Sciences 17 4 213–228.

IEEE

[1]İ. Keles, “Size-Dependent Analysis of Perforated Timoshenko Microbeams with Graded Porosity Using the Chebyshev Collocation Method”, IJEAS, vol. 17, no. 4, pp. 213–228, Dec. 2025, doi: 10.24107/ijeas.1806663.

ISNAD

Keles, İbrahim. “Size-Dependent Analysis of Perforated Timoshenko Microbeams With Graded Porosity Using the Chebyshev Collocation Method”. International Journal of Engineering and Applied Sciences 17/4 (December 1, 2025): 213-228. https://doi.org/10.24107/ijeas.1806663.

JAMA

1.Keles İ. Size-Dependent Analysis of Perforated Timoshenko Microbeams with Graded Porosity Using the Chebyshev Collocation Method. IJEAS. 2025;17:213–228.

MLA

Keles, İbrahim. “Size-Dependent Analysis of Perforated Timoshenko Microbeams With Graded Porosity Using the Chebyshev Collocation Method”. International Journal of Engineering and Applied Sciences, vol. 17, no. 4, Dec. 2025, pp. 213-28, doi:10.24107/ijeas.1806663.

Vancouver

1.İbrahim Keles. Size-Dependent Analysis of Perforated Timoshenko Microbeams with Graded Porosity Using the Chebyshev Collocation Method. IJEAS. 2025 Dec. 1;17(4):213-28. doi:10.24107/ijeas.1806663