2019
DOI: 10.1140/epjp/i2019-12650-x
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Free vibration analysis of polyethylene/CNT plates

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Cited by 50 publications
(8 citation statements)
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“…Thanks to Isogeometric analysis (IGA) [33], the mesh of NURBS elements can be built with higher-order continuity between two elements, the geometric model and analysis model are both approximated by using NURBS. Therefore, it can be a robust numerical method that deals with higher-order continuum theory in solving the mechanical responses of micro/nanostructures, and derived more accuracy results than classical finite element methods [34][35][36][37][38][39]. Fan et al [40] investigated the buckling and post-buckling responses of porous FG micro/nanoplates based on IGA and nonlocal strain gradient theory.…”
Section: Introductionmentioning
confidence: 99%
“…Thanks to Isogeometric analysis (IGA) [33], the mesh of NURBS elements can be built with higher-order continuity between two elements, the geometric model and analysis model are both approximated by using NURBS. Therefore, it can be a robust numerical method that deals with higher-order continuum theory in solving the mechanical responses of micro/nanostructures, and derived more accuracy results than classical finite element methods [34][35][36][37][38][39]. Fan et al [40] investigated the buckling and post-buckling responses of porous FG micro/nanoplates based on IGA and nonlocal strain gradient theory.…”
Section: Introductionmentioning
confidence: 99%
“…23 Safaei Babak used the generalized differential quadrature (GDQ) method and analyzed the free vibration of single-walled carbon nanotubes (SWCNTs)-reinforced composite plates with carbon nanotubes (CNTs) embedded in amorphous polyethylene under simply-supported and clamped boundary conditions. 24 According to the symplectic geometry method, Zhong et al solved the free vibration of four-sided fixed-supported rectangular thin plate under Hamiltonian system and obtained the accurate solution. 25 Zhang et al studied the nonlinear main resonance problem of quadrilateral fixed-supported rectangular plate under the action of transverse harmonic excitation force.…”
Section: Introductionmentioning
confidence: 99%
“…Temperature effect on the static and dynamic responses of nanocomposite cylinders reinforced with wavy CNT were studied by Moradi-Dastjerdi et al [25][26][27]. Safaei et al [28] analyzed the free vibration of nanocomposite plates with CNTs embedded in amorphous polyethylene. They used the rules of mixture according to different plate model theories to find the fundamental frequencies of nanocomposite plates.…”
Section: Introductionmentioning
confidence: 99%