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Article

Effect of Sinusoidal Corrugated Geometries on the Vibrational Response of Viscoelastic Nanoplates

1
Department of Mechanical Engineering, Faculty of Engineering, Islamic Azad University, Mashhad Branch, Mashhad 9187147578, Iran
2
Department of Innovation Engineering, Università del Salento, 73100 Lecce, Italy
3
Department of Civil, Chemical, Environmental, and Materials Engineering, University of Bologna, 40136 Bologna, Italy
*
Author to whom correspondence should be addressed.
Appl. Sci. 2018, 8(9), 1432; https://doi.org/10.3390/app8091432
Received: 4 August 2018 / Revised: 18 August 2018 / Accepted: 20 August 2018 / Published: 22 August 2018
(This article belongs to the Special Issue Recent Advances in Non-Local Modelling of Nano-Structures)
The vibrational behavior of viscoelastic nanoplates with a corrugated geometry is a key topic of practical interest. This problem is addressed here for wrinkled nanoplates with small corrugations related to incorrect manufacturing. To this end, a new One-Variable First-order Shear Deformation plate Theory (OVFSDT) is proposed in a combined form with a non-local strain gradient theory. The Kelvin–Voigt model is employed to describe the viscoelastic behavior of the nanoplate, whereby the frequency equations are solved numerically according to Navier’s approach, for simply-supported nanostructures. A comparative evaluation between the proposed theory and other approaches in the literature is successfully performed. It follows a large parametric study of the vibration response for varying geometry corrugations and non-local parameters. View Full-Text
Keywords: Kelvin-Voigt model; non-local strain gradient theory; one-variable first-order shear deformation plate theory; vibrational behavior; viscoelastic nanoplate; wrinkled model Kelvin-Voigt model; non-local strain gradient theory; one-variable first-order shear deformation plate theory; vibrational behavior; viscoelastic nanoplate; wrinkled model
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MDPI and ACS Style

Malikan, M.; Dimitri, R.; Tornabene, F. Effect of Sinusoidal Corrugated Geometries on the Vibrational Response of Viscoelastic Nanoplates. Appl. Sci. 2018, 8, 1432. https://doi.org/10.3390/app8091432

AMA Style

Malikan M, Dimitri R, Tornabene F. Effect of Sinusoidal Corrugated Geometries on the Vibrational Response of Viscoelastic Nanoplates. Applied Sciences. 2018; 8(9):1432. https://doi.org/10.3390/app8091432

Chicago/Turabian Style

Malikan, Mohammad, Rossana Dimitri, and Francesco Tornabene. 2018. "Effect of Sinusoidal Corrugated Geometries on the Vibrational Response of Viscoelastic Nanoplates" Applied Sciences 8, no. 9: 1432. https://doi.org/10.3390/app8091432

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