 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12977 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8096
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| In English (Mech. Solids): | | 4881 |
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| Murat Akpınar, Büşra Uzun, and Mustafa Özgür Yaylı, "Dynamics of a Piezoelectric Restrained Nanowire in an Elastic Matrix," Mech. Solids. 59 (5), 2936-2959 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
5 |
Pages |
2936-2959 |
| DOI |
10.1134/S0025654424604713 |
| Title |
Dynamics of a Piezoelectric Restrained Nanowire in an Elastic Matrix |
| Author(s) |
Murat Akpınar (Bursa Uludag University, Engineering Faculty, Department of Civil Engineering, Görükle Campus, Bursa, 16059 Turkey, muratakpinar@uludag.edu.tr)
Büşra Uzun (Bursa Uludag University, Engineering Faculty, Department of Civil Engineering, Görükle Campus, Bursa, 16059 Turkey, buzun@uludag.edu.tr)
Mustafa Özgür Yaylı (Bursa Uludag University, Engineering Faculty, Department of Civil Engineering, Görükle Campus, Bursa, 16059 Turkey, ozguryayli@uludag.edu.tr) |
| Abstract |
This study presents an analytical approach for vibration analysis of piezoelectric nanowires.
First, the piezoelectric nanowire is fixed at both ends with elastic springs that do not move. At the
same time, the piezoelectric nanowire is enclosed in an elastic medium. For this elastic medium, the
Winkler foundation model is considered. The equation of motion of the problem is generated using natural and force boundary conditions, equations of equilibrium, and energy methods. Fourier series are preferred as the axial displacement function. This function is substituted into the discretized equation of motion and the Fourier coefficient is determined. The Fourier coefficient is substituted into the force boundary conditions and an eigenvalue problem of size 2×2 is formulated. This eigenvalue
problem is the most general and has not been presented in the literature. When high values are assigned
to the spring parameters, embedded boundary conditions are reached. Conversely, when the spring parameters are assigned very small values, the solutions can be made for the free end. |
| Keywords |
piezoelectric nanowire, Stoke’s transformation, axial vibration, elastic boundary conditions, Fourier sine series |
| Received |
19 July 2024 | Revised |
17 October 2024 | Accepted |
20 October 2024 |
| Link to Fulltext |
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