Free vibrations of nanobeams under non-ideal supports based on modified couple stress theory
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Duygu Atcı
Abstract
In this study, free vibration analysis of nanobeams under various non-ideal supports have presented. Size effect of nanobeams has applied by utilizing modified couple stress theory. Hamilton’s principle has been used to derive the equation of motion. Governing equation has subjected to non-ideal boundary conditions which are modeled as linear functions including an introduced weighting factor (k). Obtained numerical results have verified by comparing with the published results. Results show that fundamental resonance frequencies of non-ideal clamped nanobeams are significantly decreased when it is compared to ideal supports. However, non-ideal simply supports creates a minor increase effect on fundamental frequencies with respect to clamped ones. Also, nano-size effect has investigated for non-ideal supports. It has found that, the smaller cross-sectional size of nanobeam causes increasing effect of non-ideal supports on fundamental frequencies.
Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
Research funding: None declared.
Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
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Artikel in diesem Heft
- Frontmatter
- General
- Theoretical research of the medical U-type optical fiber sensor covered by the gold nanoparticles
- Machine learning studies for the effects of probes and cavity on quantum synchronization
- Atomic, Molecular & Chemical Physics
- Semiclassical study on photodetachment of hydrogen negative ion in a harmonic potential confined by a quantum well
- Dynamical Systems & Nonlinear Phenomena
- One-dimensional spherical shock waves in an interstellar dusty gas clouds
- Free vibrations of nanobeams under non-ideal supports based on modified couple stress theory
- On the evolution of acceleration discontinuities in van der Waals dusty magnetogasdynamics
- Head-on collision of two ion-acoustic solitons in pair-ion plasmas with nonthermal electrons featuring Tsallis distribution
- Arbitrary amplitude ion acoustic solitons, double layers and supersolitons in a collisionless magnetized plasma consisting of non-thermal and isothermal electrons
Artikel in diesem Heft
- Frontmatter
- General
- Theoretical research of the medical U-type optical fiber sensor covered by the gold nanoparticles
- Machine learning studies for the effects of probes and cavity on quantum synchronization
- Atomic, Molecular & Chemical Physics
- Semiclassical study on photodetachment of hydrogen negative ion in a harmonic potential confined by a quantum well
- Dynamical Systems & Nonlinear Phenomena
- One-dimensional spherical shock waves in an interstellar dusty gas clouds
- Free vibrations of nanobeams under non-ideal supports based on modified couple stress theory
- On the evolution of acceleration discontinuities in van der Waals dusty magnetogasdynamics
- Head-on collision of two ion-acoustic solitons in pair-ion plasmas with nonthermal electrons featuring Tsallis distribution
- Arbitrary amplitude ion acoustic solitons, double layers and supersolitons in a collisionless magnetized plasma consisting of non-thermal and isothermal electrons
