Nonlinear dynamics of functionally graded graphene nanoplatelet reinforced polymer doubly-curved shallow shells resting on elastic foundation using a micromechanical model

Hoang, Vu Ngoc Viet; Tien, Nguyen Duc; Ninh, Dinh Gia; Thang, Vu Toan; Truong, Do Van

doi:10.1177/1099636220926650

Cited by 28 publications

(4 citation statements)

References 58 publications

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“…have attracted many researchers. [13][14][15] The graphene nanoplatelets provide better capability than CNTs in terms of load transfer because of larger specific surface area that results in strong bonding of GNP with matrix material as reported by Rafiee et al 16 Additionally, GNP can be produced with low cost relatively, hence it has attracted many researchers to develop GNP reinforced FG-porous materials. [17][18][19] In past few years, many researchers reported their work on the analysis of GNP reinforced FG-porous structures.…”

Section: Introductionmentioning

confidence: 99%

On the large amplitude vibration of shallow sandwich shells with FG-GNPRP core considering initial geometric imperfections

Shakir

Talha

Hui

et al. 2023

Jnl of Sandwich Structures & Materials

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The present study investigates the influence of initial geometric imperfections on large amplitude vibration of shallow sandwich shells with functionally graded graphene nanoplatelets reinforced porous (FG-GNPRP) core embedded between two aluminium facets. The aluminium core is reinforced with graphene nano-platelets (GNP) and the effective properties such as elastic modulus, and mass density, etc. are estimated using Halpin-Tsai and Voigt models, respectively. The continuous functions are adopted to accomplish micro-structural gradation while creating pores which imparts the variation in material properties along thickness direction. The nonlinear governing equations based on higher order shear deformation theory and Sander’s approximation are derived using variational approach. The nonlinearity is introduced in von-Kármán sense and various imperfection modes such as sine, global and local types are considered in transverse direction. The nonlinear results are accessed using finite element method in conjunction with direct iterative technique. The influence of porosity, GNP weight fraction, imperfection amplitude, thickness, side, and radius ratios on the vibration response of the sandwich shells is explored in detail.

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Section: Introductionmentioning

confidence: 99%

On the large amplitude vibration of shallow sandwich shells with FG-GNPRP core considering initial geometric imperfections

Shakir

Talha

Hui

et al. 2023

Jnl of Sandwich Structures & Materials

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show abstract

“…In this context, the 4th order R-K method, in particular, enjoys extensive utilization in addressing nonlinear dynamic issues pertaining to shells [8][9][10][11][12][13][14]. Its prevalence extends beyond shell dynamics, finding widespread application in resolving various nonlinear challenges across the scientific and engineering domains [15][16][17].…”

Section: Introductionmentioning

confidence: 99%

A semi-analytical and numerical approach for solving 2-D and 6-D nonlinear and complex functionally graded tubular systems

Dai,

Foroutan

2024

Preprint

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This study delves into nonlinear vibratory responses of functionally graded (FG) tubes subjected to transverse loads, considering material properties that vary with temperature. A refined beam model established for the tubes satisfies the stress boundary conditions on inner and outer surfaces of the tubes. The nonlinear vibration equations for these functionally graded tubes are meticulously derived with employment of the Zhang–Fu high-order shear deformation beam model, the von Kármán equation, and Hamilton’s principle. The proposed approach is applied to address externally excited nonlinear FG tube systems, encompassing both the 2 degrees of freedom (DOF) single-mode systems and 6 DOF multi-mode systems. Utilizing Galerkin’s method, the resulting discretized nonlinear governing equations allow for the analyses of single and multi-mode tubular system behavior. In solving for the tubular system, an approach implementing the P-T method is managed to be implemented, which yields a continuous semi-analytical solution throughout the entire time domain considered. The approach also demonstrates the advances on the development of a genuinely new computational method with broad impact. In comparison to the widely used Runge-Kutta (R-K) method, the proposed approach demonstrates superior efficiency, accuracy, and reliability, especially for highly nonlinear and complex systems like the FG tubular systems.

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“…Tang et al 33 investigated the mode shapes and frequency of a rotating linked disc drum. Viet Hoang et al 34 studied the nonlinear responses of FGM graphene-polymer shells located on elastic foundation. The basic formulation of this analysis is prepared based on the classical shell theory and Von Karman-Donnell geometrical assumption.…”

Section: Introductionmentioning

confidence: 99%

New optimum configuration for the FGM rotating disc in gas turbines using combined thermal-mechanical analysis: An analytical approach

Babazadeh,

Babaelahi,

Saadatfar

2023

Proceedings of the Institution of Mechanical Engineers, Part C:

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The gas turbine is one of the most suitable equipment for various applications. Usually, a gas turbine comprises a set of discs to maintain turbine blades. The rotating disc in gas turbines is one of the critical components affected by various thermal and mechanical loads. The current article considers a new rotating disc with variable thickness (power-law profile). The functionally graded material has been used as the disc material, and the disc’s properties vary with temperature and location. Therefore, the mechanical and thermal behaviours of the disc are a function of temperature and location. The differential energy balance equation has been derived for analysing the new disc. In the performed analysis, the conduction and convection heat transfer coefficients vary with temperature and location; thus, the derived final heat transfer equation has high nonlinearity. One of the efficient expansion methods, the so-called Differential Transformation Method (DTM), is used for the governed equation’s analytical solution, and the numerical solution is used for validation. Then, the stress analysis is performed using analytical expressions according to the temperature profile. The impacts of geometrical and thermophysical characteristics on the temperature and stress distribution are evaluated using the analytical solution in the new disc. The comparison of displacement and stresses in the new FGM disc and old discs shows that the thermo-mechanical performance of the new proposed disc is improved significantly.

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Nonlinear dynamics of functionally graded graphene nanoplatelet reinforced polymer doubly-curved shallow shells resting on elastic foundation using a micromechanical model

Cited by 28 publications

References 58 publications

On the large amplitude vibration of shallow sandwich shells with FG-GNPRP core considering initial geometric imperfections

On the large amplitude vibration of shallow sandwich shells with FG-GNPRP core considering initial geometric imperfections

A semi-analytical and numerical approach for solving 2-D and 6-D nonlinear and complex functionally graded tubular systems

New optimum configuration for the FGM rotating disc in gas turbines using combined thermal-mechanical analysis: An analytical approach

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