Journal
APPLIED SCIENCES-BASEL
Volume 7, Issue 12, Pages -Publisher
MDPI
DOI: 10.3390/app7121228
Keywords
Functionally Graded Carbon Nanotubes; natural frequencies; Winkler-Pasternak elastic foundations; numerical analysis; Higher-order Shear Deformation Theories
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Funding
- Croatian Science Foundation [6876]
- University of Rijeka [13.09.1.1.03]
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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.
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