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.
Highlights
In the last few decades, due to their high potential in terms of mechanical and thermal properties such as tensile and yield strength, Carbon Nanotubes (CNTs) have attracted the interest of many scientists and researchers trying to find convenient applications for these types of nanostructure [1,2,3,4,5,6,7,8,9,10,11]
The present paper aims to use this approach to study the effect of agglomeration on the natural frequencies of functionally graded carbon nanotube-reinforced laminated composite plates and shells resting on the elastic foundation
Various Higher-order Shear Deformation Theories (HSDTs) based on the Carrera Unified Formulation (CUF) Equivalent Single Layer (ESL) approach are employed to investigate the effect of agglomeration on the natural frequencies of Functionally Graded Carbon Nanotubes (FG-CNTs)-reinforced laminated composite plates and shells resting on the elastic foundation
Summary
In the last few decades, due to their high potential in terms of mechanical and thermal properties such as tensile and yield strength, Carbon Nanotubes (CNTs) have attracted the interest of many scientists and researchers trying to find convenient applications for these types of nanostructure [1,2,3,4,5,6,7,8,9,10,11]. Sci. 2017, 7, 1228 based on the Eshelby-Mori-Tanaka scheme for granular composite materials [33], and mechanical properties are obtained This scheme uses the so-called Hill’s elastic moduli [34,35] to describe the constitutive relations of the CNT particles. The present paper aims to use this approach to study the effect of agglomeration on the natural frequencies of functionally graded carbon nanotube-reinforced laminated composite plates and shells resting on the elastic foundation. Various HSDTs based on the CUF Equivalent Single Layer (ESL) approach are employed to investigate the effect of agglomeration on the natural frequencies of FG-CNT-reinforced laminated composite plates and shells resting on the elastic foundation. It should be mentioned that the present approach was implemented in MATLAB code [141]
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