Abstract
Due to nonlocal and strain gradient effects with rigid and deformable boundary conditions, the thermal vibration behavior of perforated nanobeams resting on a Winkler elastic foundation (WEF) is examined in this paper. The Stokes transformation and Fourier series have been used to achieve this goal and to determine the thermal vibration behavior under various boundary conditions, including deformable and non-deformable ones. The perforated nanobeams’ boundary conditions are considered deformable, and the nonlocal strain gradient theory accounts for the size dependency. The problem is modeled as an eigenvalue problem. The effect of parameters such as the number of holes, elastic foundation, nonlocal and strain gradient, deformable boundaries and size on the solution is considered. The effects of various parameters, such as the length of the perforated beam, number of holes, filling ratio, thermal effect parameter, small-scale parameters and foundation parameter, on the thermal vibration behavior of the perforated nanobeam, are then illustrated using a set of numerical examples. As a result of the analysis, it was determined that the vibration frequency of the nanobeam was most affected by the changes in the dimensionless WEF parameter in the first mode and the changes in the internal length parameter when all modes were considered.
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Author contributions: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
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Research funding: None declared.
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Conflict of interest statement: The authors declare that they have no conflict of interest.
References
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Articles in the same Issue
- Frontmatter
- General
- Thermal vibration of perforated nanobeams with deformable boundary conditions via nonlocal strain gradient theory
- Dynamical Systems & Nonlinear Phenomena
- Exact chirped solutions of the perturbed Gerdjikov–Ivanov equation with spatio-temporal dispersion
- Optimal system of solution using group invariance technique for shock wave in a non-ideal self-gravitating gas in rotating medium in presence of magnetic field
- Solid State Physics & Materials Science
- Analysis of Williamson fluid flow incorporating Darcy’s resistance and electro kinetics: analytical and numerical results
- Excitation wavelength altered PL study of Co doped ZnO nanoparticles suitable for white LED application
- Blue light-emitting diode of Er3+-doped borate glass for optoelectronics devices
Articles in the same Issue
- Frontmatter
- General
- Thermal vibration of perforated nanobeams with deformable boundary conditions via nonlocal strain gradient theory
- Dynamical Systems & Nonlinear Phenomena
- Exact chirped solutions of the perturbed Gerdjikov–Ivanov equation with spatio-temporal dispersion
- Optimal system of solution using group invariance technique for shock wave in a non-ideal self-gravitating gas in rotating medium in presence of magnetic field
- Solid State Physics & Materials Science
- Analysis of Williamson fluid flow incorporating Darcy’s resistance and electro kinetics: analytical and numerical results
- Excitation wavelength altered PL study of Co doped ZnO nanoparticles suitable for white LED application
- Blue light-emitting diode of Er3+-doped borate glass for optoelectronics devices