Vibration Analysis of Size-Dependent Piezoelectric Nanobeam Under Magneto-Electrical Field

Journal of Solid Mechanics

مقاله 6، دوره 12، شماره 3، آذر 2020، صفحه 570-585   

نوع مقاله: Research Paper

شناسه دیجیتال (DOI): 10.22034/jsm.2019.1864682.1446

نویسندگان

M Ghadiri^* ؛ M Karimi Asl؛ M Noroozi

Department of Mechanics, Imam Khomeini International University, Qazvin, Iran

چکیده

The damping vibration characteristics of magneto-electro-viscoelastic (MEV) nanobeam resting on viscoelastic foundation based on nonlocal strain gradient elasticity theory (NSGT) is studied in this article. For this purpose, by considering the effects of Winkler-Pasternak, the viscoelastic medium consists of linear and viscous layers. with respect to the displacement field in accordance with the refined shear deformable beam theory (RSDT) and the Kelvin-Voigt viscoelastic damping model, the governing equations of motion are obtained using Hamilton’s principle based on nonlocal strain gradient theory (NSGT). Using Fourier Series Expansion, The Galerkin’s method adopted to solving differential equations of nanobeam with both of simply supported and clamped boundary conditions. Numerical results are obtained to show the influences of nonlocal parameter, the length scale parameter, slenderness ratio and magneto-electro-mechanical loadings on the vibration behavior of nanobeam for both types of boundary conditions. It is found that by increasing the magnetic potential, the dimensionless frequency can be increased for any value of the damping coefficient and vice versa. Moreover, negative/positive magnetic potential decreases/increases the vibration frequencies of thinner nanobeam. Also, the vibrating frequency decreases and increases with increasing nonlocal parameter and length scale parameter respectively. 

کلیدواژه‌ها

Piezoelectric nanobeam؛ Vibration analysis؛ Viscoelastic damping؛ Nonlocal strain gradient؛ Magneto-electro-viscoelastic

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