Flutter characteristics and free vibrations of rectangular functionally graded porous plates

Muc, Aleksander; Flis, Justyna

doi:10.1016/j.compstruct.2020.113301

Cited by 25 publications

(9 citation statements)

References 64 publications

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“…In this case the number of independent material parameters is reduced to nine engineering constants (E 1 , E 2 , E 3 , G 12 , G 13 , G 23 , ν 12 , ν 13 , ν 23 ). The above form of the stiffness matrix can be easily adopted not only for the analysis of laminated multilayered materials but also for the investigation of structures made of porous functionally-graded materials [9] or nanostructures embedded in a matrix [10]. The identical formulation can also be easily extended to the problems of structural deformations of constructions with piezoelectric sensors/actuators [11,12].…”

Section: Basic Definitions and Notationsmentioning

confidence: 99%

Introduction to Macroscopic Optimal Design in the Mechanics of Composite Materials and Structures

Muc

2021

J. Compos. Sci.

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The main goal of building composite materials and structures is to provide appropriate a priori controlled physico-chemical properties. For this purpose, a strengthening is introduced that can bear loads higher than those borne by isotropic materials, improve creep resistance, etc. Composite materials can be designed in a different fashion to meet specific properties requirements.Nevertheless, it is necessary to be careful about the orientation, placement and sizes of different types of reinforcement. These issues should be solved by optimization, which, however, requires the construction of appropriate models. In the present paper we intend to discuss formulations of kinematic and constitutive relations and the possible application of homogenization methods. Then, 2D relations for multilayered composite plates and cylindrical shells are derived with the use of the Euler–Lagrange equations, through the application of the symbolic package Mathematica. The introduced form of the First-Ply-Failure criteria demonstrates the non-uniqueness in solutions and complications in searching for the global macroscopic optimal solutions. The information presented to readers is enriched by adding selected review papers, surveys and monographs in the area of composite structures.

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Section: Basic Definitions and Notationsmentioning

confidence: 99%

Introduction to Macroscopic Optimal Design in the Mechanics of Composite Materials and Structures

Muc

2021

J. Compos. Sci.

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“…The above relations are valid for moderately thick FG plates (i.e., as the thickness, t, to the length of the plate ratio is equal to 0.05-0.1). For thick FG plates it is necessary to take into account deformations of the normal to the plate mid-surface-see [2].…”

Section: Kinematic Relationsmentioning

confidence: 99%

“…The mentioned limitations of the present analysis are demonstrated in the review papers [1,2]. For triangular plates, an excellent source of reference are the works of Leissa [3][4][5][6].…”

Section: Introductionmentioning

confidence: 99%

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Triangular Functionally Graded Porous Moderately Thick Plates—Deformations and Free Vibrations

Muc

2021

J. Compos. Sci.

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Since the finite element analysis of deformations for plates made of functionally graded materials cannot be carried out with the use of commercial FE packages, aconsistent method of analytical analysis is proposed in the paper. The method of the analysis is based on the application of the weighted residuals and the Bubnov–Galerkin method. The 2D formulation of moderately thick plates is adopted herein for classical and transverse shear deformation plate models (first and third order). Plate deformations subjected to uniform normalpressure and free vibrations are considered. The validity of the analytical model was verified by the comparison of results with FE analysis for isotropic plates. Two correction multipliers were proposed in order to take into account the unsymmetric composition of functionally graded porous plate walls.

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“…As mentioned above, porosity results from the assembly cycle and can reduce the material's quality. Therefore, this defect's effect is to consider the influence of pores on the unique properties of the transfer pores of the FGM structure (Muc & Flis, 2021). Wang and Zu (2017) considered a rectangular plate's vibration behavior mainly evaluated, pores, and moves in a warm area.…”

Section: Introductionmentioning

confidence: 99%

Analytical and Numerical Investigation of Free Vibration Behavior for Sandwich Plate with Functionally Graded Porous Metal Core

Njim¹,

Bakhy²,

Al-Waily³

2021

JST

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The current work presents a free vibration analysis of a simply supported rectangular functionally graded sandwich plate using a new analytical model. The core of the sandwich plate is made up of porous metal, and the top and bottom faces are made up of homogenous materials. The core metal properties are assumed to be porosity dependent and graded in the thickness direction according to a simple power-law distribution in terms of the volume fractions of the constituents. The contribution of this paper is to evaluate the performance of functionally graded porous materials (FGPMs) as it is used for many biomedical applications, particularly in tissue engineering. Theoretical formulations are based on the classical plate theory to find the free vibration characteristics of the imperfect FGM sandwich plate and include different parameters. Parameters included are graded distributions of porosity, power-law index, core metal type, and aspect ratios. A numerical investigation using finite element analysis (FEA) and the modal analysis was conducted with the assistance of the commercial ANSYS-2020-R2 software to validate the analytical solution. To detect the various parameters influencing the fundamental frequencies of sandwich plate comprehensive numerical results are presented in dimensionless tabular and graphical forms. The results reveal that the frequency parameter of the sandwich plate increases with the increase of the porosity parameter and number of the constraints in the boundary conditions. Furthermore, the increase in the number of layers leads to an increase in the accuracy of the results for the same FGM core thickness. An accepted agreement can be observed between the proposed analytical solution and numerical results with a maximum error discrepancy of 8%.

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Flutter characteristics and free vibrations of rectangular functionally graded porous plates

Cited by 25 publications

References 64 publications

Introduction to Macroscopic Optimal Design in the Mechanics of Composite Materials and Structures

Introduction to Macroscopic Optimal Design in the Mechanics of Composite Materials and Structures

Triangular Functionally Graded Porous Moderately Thick Plates—Deformations and Free Vibrations

Analytical and Numerical Investigation of Free Vibration Behavior for Sandwich Plate with Functionally Graded Porous Metal Core

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