Non-linear transient response of porous functionally graded truncated conical panels using GDQ method

Akgün, Gökçe; Kurtaran, Hasan; Kalbaran, Özgür

doi:10.1016/j.tws.2020.107276

Cited by 22 publications

(5 citation statements)

References 56 publications

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“…Functionally graded (FG) materials have emerged as a fascinating field of research, offering a versatile palette of materials with varying properties across their thickness (Koizumi [1]). These materials, often referred to as FGMs, have found applications across a wide spectrum of engineering and technology domains (Reddy [2,3], Chakraborty et al [4], Santos et al [5], Chen et al [6], Zhang et al [7], Pradhan et al [8], Vo et al [9], Zenkour [10], Nguyen and Nguyen [11], Akgün et al [12], and Mantari and Granados [13]). FGMs represent a paradigm shift in material engineering, featuring gradients in composition, microstructure, or properties.…”

Section: Introductionmentioning

confidence: 99%

The role of nonlocality on low and high frequency behaviors of functionally graded sandwich nanoplates

Ghazwani,

Alnujaie,

Eltaher

et al. 2024

Z Angew Math Mech

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The role of nonlocality on low and high frequency behaviors and modes of the functionally graded (FG) sandwich nanoplates is investigated in this study for the first time using simple nonlocal higher‐order shear deformation theory (HSDT). The simple HSDT consists of only four unknowns in its equation of the displacement field. The nonlocal elasticity theory is used to consider the small‐scale effects on the behaviors of the nanoplates. The governing equations of motion are established by applying Hamilton's principle, then Navier's solution technique is employed to solve these equations to achieve the free vibration behaviors of the FG sandwich nanoplates. The vibrations of the nanoplates under both low and high frequency conditions are investigated, but the high frequency vibration of the nanoplates is discussed extensively. The influences of the geometrical dimensions, material gradient index, and nonlocal parameter on the high frequency vibration of the FG nanoplates are also considered and discussed comprehensively.

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Section: Introductionmentioning

confidence: 99%

The role of nonlocality on low and high frequency behaviors of functionally graded sandwich nanoplates

Ghazwani,

Alnujaie,

Eltaher

et al. 2024

Z Angew Math Mech

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“…Similarly, FSDT and GLNST are used to examine the nonlinear transient responses of cylindrical FG panels 31 and porous FG conical panels. 32…”

Section: Introductionmentioning

confidence: 99%

“…Similarly, FSDT and GLNST are used to examine the nonlinear transient responses of cylindrical FG panels 31 and porous FG conical panels. 32 According to the author, no studies surfaced in the open literature investigating nonlinear static and/or dynamic responses of FGM shell panels with varied gradings, porosity, geometry, and end supports. Furthermore, most authors computed nonlinear structural data using FSDT/HSDT in conjunction with VKNS.…”

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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“…Based on FSDT and by employing dynamic relaxation method, linear dynamic behavior of two directionally FGM porous rectangular plates excited by a moving load was presented by Esmaeilzadeh and Kadkhodayan [25]. Akgün et al [26] employed GDQ method to investigate non-linear transient response of porous functionally graded truncated conical panels based on FSDT theory. Akgün and Kurtaran [27] applied GDQ method to study large displacement transient analysis super-elliptic shells made of FGM based on FSDT theory.…”

Section: Introductionmentioning

confidence: 99%

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

Babaei²,

Kiarasi³

et al. 2021

SN Appl. Sci.

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In this study, we present a numerical solution for geometrically nonlinear dynamic analysis of functionally graded material rectangular plates excited to a moving load based on first-order shear deformation theory (FSDT) for the first time. To derive the governing equations of motion, Hamilton’s principle, nonlinear Von Karman assumptions and FSDT are used. Finally, the governing equations of motion are solved by employing the generalized differential quadratic method as a numerical solution. Natural frequencies, dynamic bending behavior and stresses of the plate for linear and nonlinear type of geometrically strain–displacement relations and different factors, including the magnitude and velocity of moving load, length ratio, power law exponent and various edge conditions are obtained and compared. Article highlights Developing generalized differential quadrature method (GDQM) solution based on FSDT for dynamic analysis of FGM plate excited by a moving load for the first time. Comparison of linear and nonlinear dynamic response of plate by considering Von-Karman assumption. Observing considerable difference between linear and nonlinear results

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Non-linear transient response of porous functionally graded truncated conical panels using GDQ method

Cited by 22 publications

References 56 publications

The role of nonlocality on low and high frequency behaviors of functionally graded sandwich nanoplates

The role of nonlocality on low and high frequency behaviors of functionally graded sandwich nanoplates

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

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

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