Free vibration analysis of functionally graded hybrid matrix/fiber nanocomposite conical shells using multiscale method

Rezaiee‐Pajand, Mohammad; Sobhani, Emad; Masoodi, Amir R.

doi:10.1016/j.ast.2020.105998

Cited by 67 publications

(11 citation statements)

References 82 publications

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“…(Thakur et al 2020) employed an efficient C0 finite element modeling combined with higher-order nonpolynomial shear deformation theory to investigate the natural frequencies and to perform a transient analysis of the laminated composite folded plates having different fiber angles, fold location, crack angle, lamination scheme, and boundary conditions. (Rezaiee-Pajand et al 2020) performed free vibration analysis of functionally graded hybrid matrix/fiber nanocomposite conical shells employing the First-Order Shear Deformation Theory. They solved the Donell-type governing differential equations by using the Generalized Differential Quadrature Method.…”

Section: Introductionmentioning

confidence: 99%

Dynamic and Buckling Analysis of the Laminated Composite Curved Plate Frame Structures

Daş

Öztürk

Gönenli

2023

Afyon Kocatepe University Journal of Sciences and Engineering

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This study presents the dynamic and buckling analysis of the laminated composite thin arch plate frame structures employing Classical Plate Theory with Finite Element Analysis. For this purpose, The effects of the radius of curvature, aspect ratio, and stacking order of such structures on the first ten natural frequencies, mode shapes, critical buckling load, and the first unstable regions are investigated. Besides, the two-bay curved plate frame structure is investigated. In order to perform dynamic and buckling analyses, a computer code is developed and executed via MATLAB. The results are compared and validated with those of ANSYS. It is concluded that the aspect ratio or the stacking order affects the dynamic characteristics of the curved plate frame structure considerably while the radius of curvature relatively has less impact on such dynamic properties of the structure.

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Section: Introductionmentioning

confidence: 99%

Dynamic and Buckling Analysis of the Laminated Composite Curved Plate Frame Structures

Daş

Öztürk

Gönenli

2023

Afyon Kocatepe University Journal of Sciences and Engineering

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“…The optimization of FGM plate settings in a nonlinear thermal environment has eluded many studies despite the fact that functional graded (FG) plate free vibration is well-documented. 3,4,5,6 Hao et al 7 investigated the nonlinear dynamics of a functionally graded simply supported plate subjected to in-plane and transverse stimulation in a temperature environment using Reddy’s third-order shear deformation theory. Zhang et al 8 studied the chaotic dynamics of a FG rectangular plate using Galerkin’s method.…”

Section: Introductionmentioning

confidence: 99%

Optimization of functionally graded plates under Thermo-elastic free vibration using nature-based algorithms

Rout

Bagal

2023

Noise & Vibration Worldwide

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This article presents the parametric optimization of the free vibration characteristics of a functionally graded material (FGM) plate exposed to nonlinear thermal loading using the finite element method and nature-based algorithms. The one-dimensional (1D) Fourier heat conduction equation is used to calculate temperature distributions over the thickness of the plate. Using Lagrange’s equation, we get the dynamic equation of motion for the plate. An eight-noded iso-parametric plate element with five degrees of freedom per node is used in the finite element formulation based on first-order shear deformation theory. Rectangular plates have temperature-dependent material characteristics; the thickness of the plates is scaled using a straightforward power law distribution. Here, the investigation of the FGM plate is conducted with two different boundary conditions, such as simple support and fully clamped. Additionally, new hybrid optimization approaches, namely RSM-Composite Desirability Optimization (RSM-CDO), Whale Optimization Algorithm (WOA), Corrected Moth Search Optimization (CMSO), Lichtenberg Algorithm Optimization (LAO), Sunflower Optimization Algorithm (SFO), and Forensic-Based Investigation Algorithm (FBI), are utilised to determine the best optimal solution, and the obtained findings are validated using confirmatory tests.

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“…A related work was also reported by Zhou et al 18 considering a sandwich structure consisting of circular and annular plates. Rezaiee et al 19 examined the vibration response of conical shell made up of multi scale hybrid CNT composite using multi scale methodology, wherein the authors investigated the effects of the nanofillers aggregation. Rafie et al 20 performed the nonlinear stress analysis of a piezolaminated hybrid CNT nanocomposite plate subjected to electrical and mechanical loading.…”

Section: Introductionmentioning

confidence: 99%

A solution for free vibration of rotating hybrid multiscale nanocomposite conical shell

Banerjee¹,

Rout

Karmakar

et al. 2022

Noise & Vibration Worldwide

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In the present investigation, first-order shear deformation theory (FSDT) is employed to conduct free vibration analysis of hybrid CNT-fiber nanocomposite conical shells using finite element approach. The effective material properties of this three phase nanocomposite is computed using Halpin- Tsai and Micro-mechanics model approach. The Lagrange’s equation of motion is used to derive the equilibrium equations of the rotating carbon nanotube – fibre nanocomposite conical shell wherein the nonlinearity due to rotation is also introduced. The Coriolis effect is neglected because of the moderate rotational speed of the shell. Finite element code is developed using eight noded isoparametric shell element and the same is validated with some literature to analyse the effect of twist angle, length to thickness ratio, aspect ratio, weight fraction of CNTs, and rotational speed on the fundamental frequency. The effect of such parameter on the mode shapes of the three phase nanocomposite shell are also presented here.

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Free vibration analysis of functionally graded hybrid matrix/fiber nanocomposite conical shells using multiscale method

Cited by 67 publications

References 82 publications

Dynamic and Buckling Analysis of the Laminated Composite Curved Plate Frame Structures

Dynamic and Buckling Analysis of the Laminated Composite Curved Plate Frame Structures

Optimization of functionally graded plates under Thermo-elastic free vibration using nature-based algorithms

A solution for free vibration of rotating hybrid multiscale nanocomposite conical shell

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