Finite element analysis of functionally graded sandwich plates with porosity via a new hyperbolic shear deformation theory

Vinh, Pham Van; Huy, Le Quang

doi:10.1016/j.dt.2021.03.006

Cited by 56 publications

(19 citation statements)

References 46 publications

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“…In this case, for both formulations of inverse problems, the form of the function s 0 rr (ξ) is known, and it is necessary to find only the parameter of the initial load, which determines the level of PS. For this, the developed scheme can also be applied, while in expansion (16), it is necessary to use only one basis function of the form (18) or (19), respectively. Then, we can determine the desired parameter p 0 from the solution of Equation ( 17) for one selected probe frequency.…”

Section: Computational Tests For Identification Of Psmentioning

confidence: 99%

“…As for the modeling of inhomogeneous plates, in particular, functional-gradient (FG) plates, their study is also presented in modern papers, for example, [13][14][15][16]. The papers [13,14] are quite extensive studies of methods for measuring the properties of FGM based on the study of free vibrations and dynamic stability of FG plates.…”

Section: Introduction and Purpose Of The Studymentioning

confidence: 99%

“…Various types of mixtures of initial materials, from which FG plates are made, and the influence of their distribution over the volume of the body on the dynamic characteristics are considered. In [15,16], the modeling of FG vibrations in finite element packages, in particular, ANSYS, is presented. The study of the influence of the laws of change in the properties of plates on their dynamic characteristics, i.e., deflection and amplitude-frequency characteristics is carried out.…”

Section: Introduction and Purpose Of The Studymentioning

confidence: 99%

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Determination of Prestress in Circular Inhomogeneous Solid and Annular Plates in the Framework of the Timoshenko Hypotheses

Bogachev

2021

Applied Sciences

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Determination of prestress fields in structures is of the utmost importance, since they have a significant impact on operational characteristics, and their level and distribution must be strictly controlled. In this paper, we present modeling of bending vibrations of solid and annular round inhomogeneous prestressed plates within the framework of the Timoshenko hypotheses. New inverse problems of prestress identification in plates are studied on the basis of the acoustic response subjected to some probing load. To solve direct problems on calculating oscillations and amplitude-frequency characteristics, a computational Galerkin-method-based scheme has been developed. In order to treat the inverse problems, we use a special projection approach based on the constructed weak problems statements, which makes it possible to determine the desired characteristics in the given classes of functions. The developed techniques for solving direct problems are implemented in the form of software packages realized via Maple. For both solid and annular plates, we estimate the sensitivity of the amplitude-frequency characteristics the values of which are used as the additional data in the inverse problems to a change in the prestress level; we conclude that the most favorable frequency range should be selected in the resonance vicinity. We have conducted a series of computational tests on reconstructing the plate’s prestresses of various levels and distribution patterns (decreasing, increasing, sign-changing laws). The results of computational tests revealed that the technique developed allows for the determination of the prestresses with a low error for two cases: when the cause of prestress formation and its type are known and when arbitrary prestress changing laws are considered.

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Section: Computational Tests For Identification Of Psmentioning

confidence: 99%

Section: Introduction and Purpose Of The Studymentioning

confidence: 99%

Section: Introduction and Purpose Of The Studymentioning

confidence: 99%

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Determination of Prestress in Circular Inhomogeneous Solid and Annular Plates in the Framework of the Timoshenko Hypotheses

Bogachev

2021

Applied Sciences

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“…Tahir et al [42][43][44] studied influences of different types of porosity distribution of FGM sandwich plate. Van Vinh and Huy 45 proposed a new HSDT model for the structural response of the porous FGM sandwich plate. Bensaid et al 46 examined the free vibration and buckling response of size-dependent sigmoid and power-law FGM sandwich nanobeams.…”

Section: Introductionmentioning

confidence: 99%

New HSDT for free vibration analysis of elastically supported porous bidirectional functionally graded sandwich plate using collocation method

Kumar

Bajaj

Singh

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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The present paper deals with the free vibration response of elastically supported porous bidirectional functionally graded soft-core sandwich rectangular plate with proposed new tangent shape function-based higher-order transverse shear deformation theory. The theory is accomplished to uphold the continuity of transverse shear stresses and zero shear stress conditions on both the extreme surfaces of a plate. The bidirectional gradation varies through the thickness ( z-axis) and length ( x-axis) directions. The effective material properties are calculated via the modified power-law. The governing differential equations (GDEs) of motion are acquired via the Hamilton principle. The inverse multi-quadric radial basis function-based Collocation method is implemented to discretize the GDEs obtained by strong form formulation. The current theory and method’s accuracy and efficacy are validated by comparing the present results with existing results in the literature. Studies show that the results of the proposed theory are in close agreement with 3D approach. Numerical results are obtained with a different scheme of sandwich layers for free vibration analysis. Effects of grading index, porosity fraction, two parameters foundation, different scheme, and the span to thickness ratio on free vibration response have been discussed. New results for free vibration response in porous media are presented with different skin materials.

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“…Starting with the basic idea from [21], we propose a four-variable refined plate theory to handle the problem without any use of shear correction factors, whose accuracy is verified against other higher-order formulations available from literature involving more variables. The potential of the proposed theoretical formulation for FG sandwich plates reinforced with carbon nanotubes (CNTs) would be of particular interest for different plate components, as commonly encountered in many aerospace, marine and automobile structures [48][49][50][51][52][53][54][55][56][57][58][59][60][61][62][63], and can be extended to more complicated shell components under different boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

Higher-Order Free Vibration Analysis of Porous Functionally Graded Plates

et al. 2021

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The present work analyzes the free vibration response of functionally graded (FG) plates made of Aluminum (Al) and Alumina (Al2O3) with different porosity distributions, as usually induced by a manufacturing process. The problem is tackled theoretically based on a higher-order shear deformation plate theory, while proposing a Navier-type approximation to solve the governing equations for simply-supported plates with different porosity distributions in the thickness direction. The reliability of the proposed theory is checked successfully by comparing the present results with predictions available from literature based on further first-order or higher-order theories. A large parametric study is performed systematically to evaluate the effect of different mechanical properties, such as the material indexes, porosity volume fractions, porosity distributions, and length-to-thickness ratios, on the free vibration response of FG plates, as useful for the design purposes of most engineered materials and composite applications.

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Finite element analysis of functionally graded sandwich plates with porosity via a new hyperbolic shear deformation theory

Cited by 56 publications

References 46 publications

Determination of Prestress in Circular Inhomogeneous Solid and Annular Plates in the Framework of the Timoshenko Hypotheses

Determination of Prestress in Circular Inhomogeneous Solid and Annular Plates in the Framework of the Timoshenko Hypotheses

New HSDT for free vibration analysis of elastically supported porous bidirectional functionally graded sandwich plate using collocation method

Higher-Order Free Vibration Analysis of Porous Functionally Graded Plates

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