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Advances in Nano Research Volume 16, Number 2, February 2024 , pages 175-186 DOI: https://doi.org/10.12989/anr.2024.16.2.175 |
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Size dependent torsional vibration of a rotationally restrained circular FG nanorod via strain gradient nonlocal elasticity |
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Büşra Uzun, Ömer Civalek and M. Özgür Yayli
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| Abstract | ||
| Dynamical behaviors of one-dimensional (1D) nano-sized structures are of great importance in nanotechnology applications. Therefore, the torsional dynamic response of functionally graded nanorods which could be used to model the nano electromechanical systems or micro electromechanical systems with torsional motion about the center of twist is examined based on the theory of strain gradient nonlocal elasticity in this work. The mathematical background is constructed based on both strain gradient theory and Eringen's nonlocal elasticity theory. The equation of motions and boundary conditions of radially functionally graded nanorods are derived using Hamilton's principle and then transformed into the eigenvalue analysis by using Fourier sine series. A general coefficient matrix is obtained to assemble the Stokes' transformation. The case of a restrained functionally graded nanorod embedded in two elastic springs against torsional rotation is then deeply investigated. The effect of changing the functionally graded index, the stiffness of elastic boundary conditions, the length scale parameter and nonlocal parameter are investigated in detail. | ||
| Key Words | ||
| deformable boundaries; fourier sine series; functionally graded nanorod; strain gradient nonlocal; torsional vibration | ||
| Address | ||
| Büşra Uzun and M. Özgür Yayli: Bursa Uludag University, Faculty of Engineering, Department of Civil Engineering, Görükle Campus, 16059, Bursa, Turkey Ömer Civalek: Akdeniz University, Faculty of Engineering, Department of Civil Engineering, Antalya, Turkey/ Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan | ||