Free vibration analysis of functionally graded doubly curved shell panels resting on elastic foundation in thermal environment

Tran, Quoc Huu; Duong, Huan Thanh; Tran, Tu Minh

doi:10.1007/s40091-018-0197-x

Cited by 16 publications

(5 citation statements)

References 14 publications

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“…frequency response of plate-fluid system has been achieved for harmonic load. Tran et al [10] studied Free vibration analysis of functionally graded doubly curved shell panels resting on elastic foundation in thermal environment. Burlayenko and Sadowski [11] studied Free vibrations and static analysis of functionally graded sandwich plates with three-dimensional finite elements.…”

Section: Figure 1 Changing Properties In Fgm Materialsmentioning

confidence: 99%

Analytical Study of Free Vibrations of Fluid Coupling and Structure in Collision of Turbulent Fluid with FGM Plate

Rahmani¹,

Petrudi²,

Pourdavood³

2021

IJHT

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In this paper, the free and forced vibration of a functional rectangular plate in contact with a turbulent fluid is investigated. Functional plates have been considered due to their high thermal resistance to residual stresses. The geometry of the problem is that one side of the reservoir in which the fluid is placed is covered with a plate of Functionally Graded Material (FGM). In order to approximate the displacement of the plate, assuming the third-order theory of shear deformation, trigonometric harmonic test functions are used, which determine the boundary conditions of the simple and fixed plate support. In the equations governing fluid oscillating behavior, the potential velocity of the fluid is obtained by determining the boundary conditions of the fluid in the form of February series functions. To achieve the natural frequency of the plate in contact with turbulent fluid and the shape of the vibrating mode, the Rayleigh-Ritz energy method is used based on the minimum potential energy. In order to check the accuracy of the method used, the results of analytical solution after solving the equations by coding in Wolfram Mathematica software have been compared with numerical solution of Abaqus software and then with accurate results in references, which shows the appropriate accuracy of the solution. Finally, the effect of volumetric coefficient parameters, volume ratio, length ratio, plate thickness ratio, fluid height, reservoir width and boundary conditions on the natural frequency of the plate in contact with turbulent fluid has been investigated and analyzed.

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Section: Figure 1 Changing Properties In Fgm Materialsmentioning

confidence: 99%

Analytical Study of Free Vibrations of Fluid Coupling and Structure in Collision of Turbulent Fluid with FGM Plate

Rahmani¹,

Petrudi²,

Pourdavood³

2021

IJHT

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“…The thermal buckling temperature mainly depends on the coefficient of thermal expansion. Huu et al [30] developed an analytical investigation on free vibration of a simply supported functionally graded (FG) doubly curved shell panels resting on elastic foundation in the thermal environment. Heat conduction and temperature-dependent material properties are used.…”

Section: Literature Surveymentioning

confidence: 99%

Functionally Graded Panels: A Review

B¹

2020

IJMTST

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Functionally gradedmaterials (FGMs) are not homogeneous materials. It consists of different(two or more) materials, engineered to have a continuously varying spatial composition profile. FGM is the one that can solve practical problems arising from the production and application of a new type of composite material. This paper describes the overview of FGM basic concepts, classification, properties, and its modeling which may focus on the static and dynamic analysis of functionally graded panels. The effective material properties of functionally graded materials for the panel are graded in the thickness direction from the bottom surface to the top surface according to the power-law distribution of volume fractions of the constituents. The use of structures like beams, plates, and shells, which are made from functionally graded (FG) materials, is increasing because of the smooth variation of material properties along with preferred directions. This variation gives continuous stress distribution in the FG structures. Therefore, an FGM can be effectively used in avoiding corrosion, fatigue, fracture, and stress corrosion cracking. The paper covers the literature study on static, buckling and free vibration, thermo-mechanical analysis of FGM panel. From this literature study it is found that, analysis of these problems is made using the constitutive relations and governing equations associated with the classical laminated theory structural model, the FSDT model, the HSDT model,Reissner and Sander theory,differential quadrature, finite element method and closed form solutions. Results are availableon different geometrical dimensional ratios variations, power-law index value n variationsand simply supported,clamped, free edges boundary conditionswith its combinations for FG panels. Lesser literatures are available for different edge boundary conditions such as SCSC, CSCS,SSSC, SFSF, SSSF, SCSF on curved panelfor free vibration, buckling and thermo-structural analysis.

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“…16–19 Various problems related to FGM buckling analysis have also been published, such as the critical load of FGM under mechanical and thermal load cases. 14–16,20 The structures’ nonlinearity also affects matters such as load types 20 ; geometry, 19,21 imperfection, 20,22 and material. 23,24…”

Section: Introductionmentioning

confidence: 99%

“…[16][17][18][19] Various problems related to FGM buckling analysis have also been published, such as the critical load of FGM under mechanical and thermal load cases. [14][15][16]20 The structures' nonlinearity also affects matters such as load types 20 ; geometry, 19,21 imperfection, 20,22 and material. 23,24 The approaches conventionally applied are advanced methods which require interactions and continuously solving matrices, especially for the cases where FE methods or nonlinear problems are involved.…”

Section: Introductionmentioning

confidence: 99%

“…First-order shear deformation is a critical method that is widely accepted. [12][13][14][15] Higher-order versions of this method have subsequently been applied, in publications such as. [16][17][18][19] Various problems related to FGM buckling analysis have also been published, such as the critical load of FGM under mechanical and thermal load cases.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Optimization of Neural Network architecture and derivation of closed-form equation to predict ultimate load of functionally graded material plate

Duong

Phan

2023

Advances in Mechanical Engineering

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Functionally Graded Material (FGM) plate is a complicated structure with complex allocation of spatially changing proportions of ceramic and metal within the matter. Various analytical and numerical methods have been applied with a view to evaluating the critical load of FGM plate. However, these conventional methods struggle when the computational complexity is significant, which represents an obstacle to incorporation with other advanced techniques where computational power is required (e.g. optimization or random simulations). The Neural Network (NNet) model has been successfully applied to resolve this issue. However, the conventional NNet requires proper configuration to take advantage of the model, and thus, careful parameter tuning is required. Furthermore, the NNet is typically a “black box,” where the prediction mechanism is hidden. This paper establishes an optimized architecture for NNet, with parametric study of the model’s hyperparameters. Variance propagation is also applied to observe the variation of the model’s performance on random sub-databases splintered from the database. To this end, the explicit expression of the trained NNet model is provided after mathematically deploying the hidden algebra behind an NNet prediction. The developed model has very promising evaluation metrics: R2, MAE, and RMSE on the test set are 0.999925, 0.067516, and 0.146438, respectively.

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Free vibration analysis of functionally graded doubly curved shell panels resting on elastic foundation in thermal environment

Cited by 16 publications

References 14 publications

Analytical Study of Free Vibrations of Fluid Coupling and Structure in Collision of Turbulent Fluid with FGM Plate

Analytical Study of Free Vibrations of Fluid Coupling and Structure in Collision of Turbulent Fluid with FGM Plate

Functionally Graded Panels: A Review

Optimization of Neural Network architecture and derivation of closed-form equation to predict ultimate load of functionally graded material plate

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