Research Article

Atomic Size-Dependent Nonlocal Torsional Vibration of Circular Rod

Volume: 17 Number: 3 November 30, 2025

Atomic Size-Dependent Nonlocal Torsional Vibration of Circular Rod

Abstract

This paper presents a comprehensive analysis of the torsional vibration of circular rods using nonlocal elasticity theory, emphasizing its applicability in nanoscale systems. The equation of motion for nonlocal torsional vibration of nanoscale rods is first derived. After applying some transformations to the obtained equation of motion, the frequency equation is formulated. In addition, a nonlocal finite element model (NL-FEM) for the rod is developed using the weighted residual method.

Keywords

References

  1. Işık, Ç., Nonlocal Finite Element Formulation In Modeling Micro and Nano Scaled Mechanical Systems; PhD thesis, Akdeniz University, 2018.
  2. Numanoğlu, H.M. and Civalek, O., On shear-dependent vibration of nano frames. International Journal of Engineering Science, 103992, 2024.
  3. Edelen, D.G.B., On nonlocal variational mechanics I. International Journal of Engineering Science, 7(3), 269-285, 1969.
  4. Edelen, D.G.B., Nonlocal variations and local invariance of fields. Modern Analytic and Computation Methods in Science and Mathematics, 19, 1969.
  5. Eringen, A.C., Nonlocal polar elastic continua. International Journal of Engineering Science, 10(1), 1-16, 1972.
  6. Eringen, A.C., Theory of thermomicrofluids. Journal of Mathematical analysis and Applications, 38(2), 480-496, 1972.
  7. Eringen, A.C., Theory of nonlocal thermoelasticity. International Journal of Engineering Science, 12(12), 1063-1077, 1974.
  8. Eringen, A.C., Plane waves in nonlocal micropolar elasticity. International Journal of Engineering Science, 22(8-10), 1113-1121, 1984.

Details

Primary Language

English

Subjects

Granular Mechanics, Civil Construction Engineering

Journal Section

Research Article

Early Pub Date

November 7, 2025

Publication Date

November 30, 2025

Submission Date

December 7, 2024

Acceptance Date

February 12, 2025

Published in Issue

Year 2025 Volume: 17 Number: 3

APA
Yazıcıoğlu, A., & Civalek, Ö. (2025). Atomic Size-Dependent Nonlocal Torsional Vibration of Circular Rod. International Journal of Engineering and Applied Sciences, 17(3), 121-130. https://doi.org/10.24107/ijeas.1597895
AMA
1.Yazıcıoğlu A, Civalek Ö. Atomic Size-Dependent Nonlocal Torsional Vibration of Circular Rod. IJEAS. 2025;17(3):121-130. doi:10.24107/ijeas.1597895
Chicago
Yazıcıoğlu, Aleyna, and Ömer Civalek. 2025. “Atomic Size-Dependent Nonlocal Torsional Vibration of Circular Rod”. International Journal of Engineering and Applied Sciences 17 (3): 121-30. https://doi.org/10.24107/ijeas.1597895.
EndNote
Yazıcıoğlu A, Civalek Ö (November 1, 2025) Atomic Size-Dependent Nonlocal Torsional Vibration of Circular Rod. International Journal of Engineering and Applied Sciences 17 3 121–130.
IEEE
[1]A. Yazıcıoğlu and Ö. Civalek, “Atomic Size-Dependent Nonlocal Torsional Vibration of Circular Rod”, IJEAS, vol. 17, no. 3, pp. 121–130, Nov. 2025, doi: 10.24107/ijeas.1597895.
ISNAD
Yazıcıoğlu, Aleyna - Civalek, Ömer. “Atomic Size-Dependent Nonlocal Torsional Vibration of Circular Rod”. International Journal of Engineering and Applied Sciences 17/3 (November 1, 2025): 121-130. https://doi.org/10.24107/ijeas.1597895.
JAMA
1.Yazıcıoğlu A, Civalek Ö. Atomic Size-Dependent Nonlocal Torsional Vibration of Circular Rod. IJEAS. 2025;17:121–130.
MLA
Yazıcıoğlu, Aleyna, and Ömer Civalek. “Atomic Size-Dependent Nonlocal Torsional Vibration of Circular Rod”. International Journal of Engineering and Applied Sciences, vol. 17, no. 3, Nov. 2025, pp. 121-30, doi:10.24107/ijeas.1597895.
Vancouver
1.Aleyna Yazıcıoğlu, Ömer Civalek. Atomic Size-Dependent Nonlocal Torsional Vibration of Circular Rod. IJEAS. 2025 Nov. 1;17(3):121-30. doi:10.24107/ijeas.1597895

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