A semi-analytical solution for dynamic stability analysis of nanocomposite/fibre-reinforced doubly-curved panels resting on the elastic foundation in thermal environment

Salehipour, Hamzeh; Emadi, Sirous; Tayebikhorami, Saman; Shahmohammadi, Mohammad Amin

doi:10.1140/epjp/s13360-021-02190-5

Cited by 17 publications

(7 citation statements)

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“…where u, v, and w are respectively the translational deformations in the j 1 , j 2 , and z directions and also u 1 and u 2 are respectively the rotations around the j 2 and j 1 axes. By integrating the stresses in equation ( 5) along the thickness of the sandwich panel, the resultant inplane and transverse force vectors N, T and also the moment vector M can be achieved as the following procedure 11,38 :…”

Section: Fundamental Equations Of Doubly-curved Sandwich Panelsmentioning

confidence: 99%

“…In order to characterize the mechanical specs of the CNT/GNP-reinforced face-sheets, the Halpin-Tsai model is employed. Based on this micro/nano-mechanical model, the equivalent elastic modulus and Poisson’s ratio for CNT-reinforced ( E em r , ν em r ) and GNP-reinforced ( E em g , ν em g ) face-sheets can be achieved as the following relations 11 :…”

Section: Materials Characterization Of Cnts Gnps and Metal-foamsmentioning

confidence: 99%

“…The stress-strain relations in ( ξ 1 , ξ 1 , z ) coordinate system considering the transversely shear strains based on FSDT can be expressed as 11,38 :…”

Section: Fundamental Equations Of Doubly-curved Sandwich Panelsmentioning

confidence: 99%

“…By integrating the stresses in equation (5) along the thickness of the sandwich panel, the resultant in-plane and transverse force vectors N , T and also the moment vector M can be achieved as the following procedure 11,38 :…”

Section: Fundamental Equations Of Doubly-curved Sandwich Panelsmentioning

confidence: 99%

“…In order to improve the capability of the thin-walled structures, using a novel approach, some researches employed nanocomposites and traditional fibers together for reinforcing the thin-walled composites. For example, the studies in Salehipour et al, 11 Shahmohammadi et al, 12 Mirfatah et al, 13 Emadi et al, 14 Badarloo et al, 15 and Kolahchi et al 16 focused on employing the hybrid composites to improve the static and dynamic behavior of shells and plates in which the composite is made of the combination of carbon fibers and CNT/GNP-reinforced resin. It is notable that the application of nano-materials is not only for mechanical aspects.…”

Section: Introductionmentioning

confidence: 99%

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An analytical closed-form solution for free vibration and stability analysis of curved sandwich panels made of porous metal-foam core and nanocomposite reinforced face-sheets

Badarloo,

Salehipour

2023

Proceedings of the Institution of Mechanical Engineers, Part C:

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This paper aims to obtain an analytical solution for free vibration and stability analysis of shallow curved sandwich panels made of a porous metal-foam core and nanocomposites reinforced sheets resting on a Winkler-Pasternak elastic foundation. In this regard, two nanocomposites, carbon nanotubes (CNTs) and graphene nanoplatelets (GNPs) are considered for reinforcing the face-sheets. The governing equations are developed by considering the transversal shear strains based on the first-order shear deformation theory (FSDT). The obtained system of differential equations representing the dynamic equilibrium and compatibility of the proposed curved sandwich panels are solved analytically, using the principal of Galerkin method. In order to examine the results of developed formulation, some benchmark examples are adopted from the existing literature and the obtained results corresponding to the considered examples are compared with those are presented in the references. Using the achieved numerical results in the framework of a comprehensive parametric study, the effects of various material and geometrical factors and also various boundary conditions on the natural frequencies and buckling loads of the proposed sandwich panels are assessed. By performing the extensive parametric study it was observed that several results corresponding to the free vibration and stability of the proposed sandwich panels can be achieved by the present method without spending much time for computations. On the contrary, in order to achieve the similar results using the numerical methods, a time-consuming process is required which can justify the novelty of the present work.

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Section: Fundamental Equations Of Doubly-curved Sandwich Panelsmentioning

confidence: 99%

Section: Materials Characterization Of Cnts Gnps and Metal-foamsmentioning

confidence: 99%

“…The stress-strain relations in ( ξ 1 , ξ 1 , z ) coordinate system considering the transversely shear strains based on FSDT can be expressed as 11,38 :…”

Section: Fundamental Equations Of Doubly-curved Sandwich Panelsmentioning

confidence: 99%