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Nonlocal FEM Formulation for Vibration Analysis of Nanowires on Elastic Matrix with Different Materials

1
Civil Engineering Department, Uludağ University, 16059 Bursa, Turkey
2
Civil Engineering Department, Akdeniz University, 07070 Antalya, Turkey
*
Author to whom correspondence should be addressed.
Math. Comput. Appl. 2019, 24(2), 38; https://doi.org/10.3390/mca24020038
Received: 12 February 2019 / Revised: 28 March 2019 / Accepted: 4 April 2019 / Published: 6 April 2019
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Abstract

In this study, free vibration behaviors of various embedded nanowires made of different materials are investigated by using Eringen’s nonlocal elasticity theory. Silicon carbide nanowire (SiCNW), silver nanowire (AgNW), and gold nanowire (AuNW) are modeled as Euler–Bernoulli nanobeams with various boundary conditions such as simply supported (S-S), clamped simply supported (C-S), clamped–clamped (C-C), and clamped-free (C-F). The interactions between nanowires and medium are simulated by the Winkler elastic foundation model. The Galerkin weighted residual method is applied to the governing equations to gain stiffness and mass matrices. The results are given by tables and graphs. The effects of small-scale parameters, boundary conditions, and foundation parameters on frequencies are examined in detail. In addition, the influence of temperature change on the vibrational responses of the nanowires are also pursued as a case study. View Full-Text
Keywords: nonlocal elasticity theory; Galerkin weighted residual FEM; silicon carbide nanowire; silver nanowire; gold nanowire nonlocal elasticity theory; Galerkin weighted residual FEM; silicon carbide nanowire; silver nanowire; gold nanowire
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Uzun, B.; Civalek, Ö. Nonlocal FEM Formulation for Vibration Analysis of Nanowires on Elastic Matrix with Different Materials. Math. Comput. Appl. 2019, 24, 38.

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