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Appl. Sci. 2017, 7(12), 1228; doi:10.3390/app7121228

Influence of Winkler-Pasternak Foundation on the Vibrational Behavior of Plates and Shells Reinforced by Agglomerated Carbon Nanotubes

1
Department of Engineering Mechanics, Faculty of Engineering, University of Rijeka, HR-51000 Rijeka, Croatia
2
Department of Civil, Chemical, Environmental and Materials Engineering (DICAM), School of Engineering and Architecture, University of Bologna, 40136 Bologna, Italy
3
Departamento de Engenharia Mecânica, Faculdade de Engenharia da Universidade do Porto, 4200-465 Porto, Portugal
*
Author to whom correspondence should be addressed.
Received: 28 October 2017 / Revised: 10 November 2017 / Accepted: 23 November 2017 / Published: 28 November 2017
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Abstract

This paper aims to investigate the effect of the Winkler-Pasternak elastic foundation on the natural frequencies of Carbon Nanotube (CNT)-reinforced laminated composite plates and shells. The micromechanics of reinforcing CNT particles are described by a two-parameter agglomeration model. CNTs are gradually distributed along the thickness direction according to various functionally graded laws. Elastic foundations are modeled according to the Winkler-Pasternak theory. The theoretical model considers several Higher-order Shear Deformation Theories (HSDTs) based on the so-called Carrera Unified Formulation (CUF). The theory behind CNTs is explained in detail. The theoretical model presented is solved numerically by means of the Generalized Differential Quadrature (GDQ) method. Several parametric studies are conducted, and their results are discussed. View Full-Text
Keywords: Functionally Graded Carbon Nanotubes; natural frequencies; Winkler-Pasternak elastic foundations; numerical analysis; Higher-order Shear Deformation Theories Functionally Graded Carbon Nanotubes; natural frequencies; Winkler-Pasternak elastic foundations; numerical analysis; Higher-order Shear Deformation Theories
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Banić, D.; Bacciocchi, M.; Tornabene, F.; Ferreira, A.J.M. Influence of Winkler-Pasternak Foundation on the Vibrational Behavior of Plates and Shells Reinforced by Agglomerated Carbon Nanotubes. Appl. Sci. 2017, 7, 1228.

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