Free vibrations analysis of stepped nanobeams using nonlocal elasticity theory

Document Type : Research Note

Authors

1 Department of Electronic and Automation, Soma Vocational School, Manisa Celal Bayar University, 45500 Soma, Manisa, Turkiye

2 Department of Mechanical Engineering, Manisa Celal Bayar University Yunusemre, 45140 Manisa, Turkiye

3 Department of Machinery and Metal Technologies, Soma Vocational School, Manisa Celal Bayar University, 45500 Soma, Manisa, Turkiye

Abstract

Free vibration of stepped nanobeams was investigated using Eringen's nonlocal elasticity theory. Beam analysis is based on Bernoulli-Euler theory and nanoscale analysis is based on Eringen's nonlocal elasticity theory. The system boundary conditions were determined as simple-simple. The equations of motion of the system were obtained using Hamilton's principle. For the solution of the obtained state equations, a multi-time scale, which is one of the perturbation methods, was used. The results part of the study, it is aimed to observe the nano-size effect and the effects of the step state. For this purpose, the natural frequency values of the first three modes of the system were obtained for different non-local parameter values, step rates, and step positions. When the results were examined, it was determined that the non-local parameter value, step ratio, and natural frequency were inversely proportional to each other. In addition, to strengthen the accuracy of the results, the results obtained were compared with the results of other studies in the literature conducted under the specified conditions, and a perfect agreement was observed. The current beam model, on the other hand, could help design and manufacture ICs such as nano-sensors and nano-actuators.

Keywords

Main Subjects

References

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Scientia Iranica
Volume 32, Issue 3
Transactions on Nanotechnology
January and February 2025 Article ID:7395

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  • Receive Date: 20 December 2022
  • Revise Date: 05 July 2023
  • Accept Date: 17 July 2023

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