Geometrically nonlinear dynamic analysis of functionally graded material plate excited by a moving load applying first-order shear deformation theory via generalized differential quadrature method

Nazari, Hesam; Babaei, Masoud; Kiarasi, Faraz; Asemi, Kamran

doi:10.1007/s42452-021-04825-9

Cited by 8 publications

(4 citation statements)

References 39 publications

(40 reference statements)

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“…In this theory, the transverse normal values at the mid-plane of the plate remain straight and rotate such that they do not remain perpendicular to the mid-surface after deformation. Applying the FSDT of the shells, the displacement constituents of the shell are considered to be as follows [71]:…”

Section: Governing Equations (Fsdt-virtual Work Principle)mentioning

confidence: 99%

Free Vibration Analyses of Stiffened Functionally Graded Graphene-Reinforced Composite Multilayer Cylindrical Panel

Zhou,

Zhang,

Nyasha Chirukam

et al. 2023

Mathematics

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In this paper, the free vibration response of a stiffened functionally graded graphene nanoplatelet (GPL)-reinforced composite multilayer cylindrical shell panel is studied for the first time. The shell is stiffened by both stringers and rings. Additionally, the effect of reinforcing the shell panel, ring and stinger with GPLs is independently studied. Halpin–Tsai relations are employed to evaluate the mechanical properties of the shell panel, rings and stringers. The first-order shear deformation shell theory, accompanied by the Lekhnitsky smeared stiffener model, using the numerical finite element method and Hamilton principle, is employed to develop the governing motion equations of the shell panel. Four different types of GPL patterns, including FG-A, FG-X, FG-O and UD, are assumed across the thickness of the shell panel, rings and stringers. The effects of different factors, including various weight fractions and patterns of GPLs nanofillers, the geometry of the shell panel and stiffeners and two displacement boundary conditions, on the natural frequencies of the shell panel, have been studied.

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Section: Governing Equations (Fsdt-virtual Work Principle)mentioning

confidence: 99%

Free Vibration Analyses of Stiffened Functionally Graded Graphene-Reinforced Composite Multilayer Cylindrical Panel

Zhou,

Zhang,

Nyasha Chirukam

et al. 2023

Mathematics

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“…26,27 A TSDT is utilised 28 to analyse the nonlinear dynamic behaviour of FG plates exposed to external dynamic load. FSDT and VKNST are employed in Nguyen et al 29 and Nazari et al 30 for the computation of nonlinear flexural deflection and/or dynamic responses of the FG plates. Similarly, FSDT and GLNST are used to examine the nonlinear transient responses of cylindrical FG panels 31 and porous FG conical panels.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear static and dynamic (deflection/stress) responses of porous functionally graded shell panel and experimental validation

Ramteke

Panda

2023

Proceedings of the Institution of Mechanical Engineers, Part C:

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The static and dynamic characteristics of functionally graded (FG) structures have been investigated in this article, considering full geometrical nonlinearity. The finite element (FE) solutions are obtained for the graded panel by modelling through higher-order kinematics (HSDT) and Green-Lagrange strain-displacement relations (GLNST). The desired graded panel properties are obtained through Voigt’s micromechanical approach, considering different grading patterns (exponential, EPL; sigmoid, SGM and power law, POL). Additionally, to maintain the generality of the graded structure, different porosity distribution types (even and uneven, EVP and UEP) are incorporated into the proposed mathematical model. Further, the numerical solutions are obtained using Newmark’s method’s direct iterative technique and constant integration steps. The solution sensitivities are verified for the developed algorithm via adequate convergence and comparison tests. In addition, the experimental validation is performed using the layerwise fabricated luffa-fibre reinforced FG plates to validate the proposed theoretical model’s accuracy. Lastly, the responses are computed using the newly derived model for the variable design-dependent parameters associated with the FG structural geometry and properties. The final deliverables, that is the nonlinear deflection responses (NDFR)/stress values, are discussed under mechanical loadings (static and dynamic).

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“…Additionally, a semi-analytical solution was proposed by Rad and Alibeligloo [10] to explore the static responses of two-directional FGM circular plates subjected to an elastic foundation. Nazari et al [11] presented a numerical solution using the first-order shear deformation theory (FSDT) for a geometrically nonlinear dynamic analysis of rectangular plates made of FGM and excited by a moving load. Khakpour et al [12] determined the natural frequency of functionally graded porous beams.…”

Section: Introductionmentioning

confidence: 99%

A Dynamic Analysis of Porous Coated Functionally Graded Nanoshells Rested on Viscoelastic Medium

et al. 2023

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Theoretical research has numerous challenges, particularly about modeling structures, unlike experimental analysis, which explores the mechanical behavior of complex structures. Therefore, this study suggests a new model for functionally graded shell structures called “Tri-coated FGM” using a spatial variation of material properties to investigate the free vibration response incorporating the porosities and microstructure-dependent effects. Two types of tri-coated FG shells are investigated, hardcore and softcore FG shells, and five distribution patterns are proposed. A novel modified field of displacement is proposed by reducing the number of variables from five to four by considering the shear deformation effect. The shell is rested on a viscoelastic Winkler/Pasternak foundation. An analytical solution based on the Galerkin approach is developed to solve the equations of motion derived by applying the principle of Hamilton. The proposed solution is addressed to study different boundary conditions. The current study conducts an extensive parametric analysis to investigate the influence of several factors, including coated FG nanoshell types and distribution patterns, gradient material distribution, porosities, length scale parameter (nonlocal), material scale parameter (gradient), nanoshell geometry, and elastic foundation variation on the fundamental frequencies. The provided results show the accuracy of the developed technique using different boundary conditions.

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Geometrically nonlinear dynamic analysis of functionally graded material plate excited by a moving load applying first-order shear deformation theory via generalized differential quadrature method

Cited by 8 publications

References 39 publications

Free Vibration Analyses of Stiffened Functionally Graded Graphene-Reinforced Composite Multilayer Cylindrical Panel

Free Vibration Analyses of Stiffened Functionally Graded Graphene-Reinforced Composite Multilayer Cylindrical Panel

Nonlinear static and dynamic (deflection/stress) responses of porous functionally graded shell panel and experimental validation

A Dynamic Analysis of Porous Coated Functionally Graded Nanoshells Rested on Viscoelastic Medium

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