Free vibration analysis of rotating functionally graded material plate under nonlinear thermal environment using higher order shear deformation theory

Parida, S.; Mohanty, Sukesh Chandra

doi:10.1177/0954406218777535

Cited by 23 publications

(11 citation statements)

References 32 publications

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“…Du et al 12 investigated the nonlinear free vibrations of a spinning plate attached to a rigid hub based on the cell-based smoothed finite element method. According to the higher order shear deformation theory, Parida and Mohanty 13 studied the free vibration of spinning functionally graded (FG) plates in nonlinear thermal environment.…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of a spinning porous nanocomposite blade reinforced with graphene nanoplatelets

Zhao

Yang

Pan

et al. 2021

The Journal of Strain Analysis for Engineering Design

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This paper investigated the modeling and free vibration characteristics of a spinning graphene nanoplatelet (GPL) reinforced porous nanocomposite blade. The blade is made of porous foam metal matrix reinforced with graphene nanoplatelets (GPLs). Several different GPL distributions and porosity distributions in the blade are taken into account. The effective material properties of the blade, determined via the open-cell scheme, the Halpin-Tsai model, and the rule of mixture, are assumed to be varying continuously along the its thickness direction. According to the Kirchhoff’s plate theory, the governing equations of the spinning blade are derived by adopting the Hamilton principle. On the other hand, the non-uniform spinning blade is modeled by the finite element method which is compared with the theoretical method. The theoretical results match very well with the finite element ones obtained from ANSYS. Particular focus is given to the effects of the spinning speed, porosity coefficient, distribution pattern of GPLs and porosities, GPL weight fraction, length-to-thickness ratio and length-to-width ratio of GPLs, blade length, and spinning radius on the free vibration performance of the blade rotor.

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Section: Introductionmentioning

confidence: 99%

Free vibration analysis of a spinning porous nanocomposite blade reinforced with graphene nanoplatelets

Zhao

Yang

Pan

et al. 2021

The Journal of Strain Analysis for Engineering Design

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“…[55][56][57] However, the beam models are not able to predict the chordwise bending and coupled chordwise and spanwise bending modes of the blades with low aspect ratio. 58 In order to overcome the shortcomings of the beam theories, numerous attempts have been made to grasp the dynamic behaviors of the rotating blades by applying plate [59][60][61][62][63][64] or shell [65][66][67][68] theories. There are several studies dealing with the solution of vibration problems of two-dimensional composite turbo-machinery blades considering cantilever pretwisted plates such as Qatu and Leissa, 69 Karmakar and Sinha, 70 Sinha and Turner, 71 and Chen and Li.…”

Section: Introductionmentioning

confidence: 99%

Thermoelastic free vibration of rotating pretwisted sandwich conical shell panels with functionally graded carbon nanotube-reinforced composite face sheets using higher-order shear deformation theory

Singha¹,

Bandyopadhyay

Karmakar

2021

Proceedings of the Institution of Mechanical Engineers, Part L:

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This article presents a numerical investigation on the free vibration characteristics of rotating pretwisted sandwich conical shell panels with two functionally graded carbon nanotube-reinforced composite (FG-CNTRC) face sheets and a homogeneous core in uniform thermal environments. The carbon nanotubes are considered to be aligned with the span length and distributed either uniformly or functionally graded along the thickness of the sandwich conical shell panel. The material properties of FG-CNTRC face sheets and homogenous core are assumed to be temperature-dependent and computed employing micromechanics models. The shallow conical shell is modeled using finite element method within a framework of the higher-order shear deformation theory. Lagrange’s equation of motion is employed to derive the dynamic equilibrium equations of sandwich conical shell panels rotating at moderate rotational speeds wherein Coriolis effect is neglected. Computer codes are developed on the basis of present mathematical formulation to determine the natural frequencies of the sandwich conical panels. Convergence and comparison studies are performed to examine the consistency and accurateness of the present formulation. The numerical results are presented to analyze the effects of various parameters on the natural frequencies of the pretwisted FG-CNTRC sandwich conical shell panels under different thermal conditions.

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“…According to the first-order shear deformation theory, Du et al [17] developed a cellbased smoothed finite element method to investigate the free vibration of a spinning plate. Parida et al [18] investigated the free vibration of a spinning FG plate in thermal environment. Vibration performance of a rotary pre-twisted sandwich plate with two FG skins and one homogeneous core was investigated by Liu et al [19].…”

Section: Introductionmentioning

confidence: 99%

Modeling and vibration analysis of a spinning assembled beam–plate structure reinforced by graphene nanoplatelets

Zhao

Wang

et al. 2021

Acta Mech

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The theoretical modeling of a functionally graded (FG) graphene nanoplatelet (GPL)-reinforced assembled beam-plate structure resting on elastic supports is presented for the first time, and its free vibration analysis is performed. Herein, the assembled structure is modeled according to the Kirchhoff plate theory and the Rayleigh beam theory. The graphene nanoplatelets (GPLs) gradiently distribute in the beam's radial direction and in the plate's thickness direction, respectively. By adopting the rule of mixture and the Halpin-Tsai model, the effective material properties can be obtained. By employing the Lagrange's equation and considering the effects of Coriolis force and centrifugal force, the coupled governing equations of the assembled structure are determined. Furthermore, the assumed modes method and substructure modal synthesis method are applied to obtain the frequencies of the assembled beam-plate structure. A comprehensive numerical investigation is carried out to discuss the influence of the structural and material parameters on the vibration behavior of the beam-plate structure.

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Free vibration analysis of rotating functionally graded material plate under nonlinear thermal environment using higher order shear deformation theory

Cited by 23 publications

References 32 publications

Free vibration analysis of a spinning porous nanocomposite blade reinforced with graphene nanoplatelets

Free vibration analysis of a spinning porous nanocomposite blade reinforced with graphene nanoplatelets

Thermoelastic free vibration of rotating pretwisted sandwich conical shell panels with functionally graded carbon nanotube-reinforced composite face sheets using higher-order shear deformation theory

Modeling and vibration analysis of a spinning assembled beam–plate structure reinforced by graphene nanoplatelets

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