Axial Vibration of a Nanoring Rod Using Nonlocal Finite Element Method

Aleyna Yazıcıoğlu; Ömer Civalek

doi:10.24107/ijeas.1644241

Axial Vibration of a Nanoring Rod Using Nonlocal Finite Element Method

Abstract

This paper provides a thorough analysis of the axial vibration behavior of nanoring rods based on nonlocal elasticity theory, highlighting its relevance to nanoscale systems. The equation governing the axial vibration of nanoscale rods under nonlocal effects is formulated. By applying appropriate transformations to this equation, the frequency equation is derived. Additionally, a nonlocal finite element formulation for the rod is developed using the weighted residual method.

Keywords

References

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Details

Primary Language

English

Subjects

Granular Mechanics

Journal Section

Research Article

Authors

Aleyna Yazıcıoğlu ^*
0009-0000-1794-5164
Türkiye

Ömer Civalek
0000-0003-1907-9479
Türkiye

Publication Date

September 5, 2025

Submission Date

February 21, 2025

Acceptance Date

March 21, 2025

Published in Issue

Year 2025 Volume: 17 Number: 2

DOI

https://doi.org/10.24107/ijeas.1644241

IZ

https://izlik.org/JA73GK54NX

Cite

RIS / Bibtex

APA

Yazıcıoğlu, A., & Civalek, Ö. (2025). Axial Vibration of a Nanoring Rod Using Nonlocal Finite Element Method. International Journal of Engineering and Applied Sciences, 17(2), 73-80. https://doi.org/10.24107/ijeas.1644241

AMA

1.Yazıcıoğlu A, Civalek Ö. Axial Vibration of a Nanoring Rod Using Nonlocal Finite Element Method. IJEAS. 2025;17(2):73-80. doi:10.24107/ijeas.1644241

Chicago

Yazıcıoğlu, Aleyna, and Ömer Civalek. 2025. “Axial Vibration of a Nanoring Rod Using Nonlocal Finite Element Method”. International Journal of Engineering and Applied Sciences 17 (2): 73-80. https://doi.org/10.24107/ijeas.1644241.

EndNote

Yazıcıoğlu A, Civalek Ö (September 1, 2025) Axial Vibration of a Nanoring Rod Using Nonlocal Finite Element Method. International Journal of Engineering and Applied Sciences 17 2 73–80.

IEEE

[1]A. Yazıcıoğlu and Ö. Civalek, “Axial Vibration of a Nanoring Rod Using Nonlocal Finite Element Method”, IJEAS, vol. 17, no. 2, pp. 73–80, Sept. 2025, doi: 10.24107/ijeas.1644241.

ISNAD

Yazıcıoğlu, Aleyna - Civalek, Ömer. “Axial Vibration of a Nanoring Rod Using Nonlocal Finite Element Method”. International Journal of Engineering and Applied Sciences 17/2 (September 1, 2025): 73-80. https://doi.org/10.24107/ijeas.1644241.

JAMA

1.Yazıcıoğlu A, Civalek Ö. Axial Vibration of a Nanoring Rod Using Nonlocal Finite Element Method. IJEAS. 2025;17:73–80.

MLA

Yazıcıoğlu, Aleyna, and Ömer Civalek. “Axial Vibration of a Nanoring Rod Using Nonlocal Finite Element Method”. International Journal of Engineering and Applied Sciences, vol. 17, no. 2, Sept. 2025, pp. 73-80, doi:10.24107/ijeas.1644241.

Vancouver

1.Aleyna Yazıcıoğlu, Ömer Civalek. Axial Vibration of a Nanoring Rod Using Nonlocal Finite Element Method. IJEAS. 2025 Sep. 1;17(2):73-80. doi:10.24107/ijeas.1644241