Free vibration behavior of an elliptical sandwich microplate, consisting of a saturated porous core and two piezoelectric face layers, standing on an elastic foundation

Balak, Morteza; Mehrabadi, Saeed Jafari; Monfared, Hamid Mohseni; Feizabadi, Hassan

doi:10.1007/s00707-022-03227-1

Cited by 6 publications

(4 citation statements)

References 30 publications

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“…A comparison of the present fundamental frequencies Λ = λ (2a) 2 ρ m /E m /h 0 with Refs. [27,31] is presented in Table 3. Table 4 shows the fundamental frequencies Λ = λ (2a) 2 ρ m /E m /h 0 given by the present approach for isotropic square simply supported tapered plates with different thicknesses a/h = 5, 10, 100 and values of ratio tapers, β = 0.5 and β = 1, compared with the results of Refs.…”

Section: Testmentioning

confidence: 99%

“…Most of the works cited above and the most of scientific literature dealt with rectangular plates. Balak et al [31] studied the dynamic behavior of an elliptical multilayer plate with a saturated porous filler resting on an elastic foundation; these authors considered the case of the face sheet layers being piezoelectric. To solve the problem, the authors applied the first-order shear deformation theory and Galerkin's method.…”

Section: Introductionmentioning

confidence: 99%

“…Comparison of the fundamental frequencies Λ = λ (2a) 2 ρ m /E m /h 0 for isotropic square tapered plates, β = 0.25, with different boundary conditions and thicknesses with Refs [27,31]…”

mentioning

confidence: 99%

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Free Vibration Analysis of Porous Functionally Graded Material Plates with Variable Thickness on an Elastic Foundation Using the R-Functions Method

Kurpa,

Pellicano,

Shmatko

et al. 2024

MCA

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Free vibrations of porous functionally graded material (FGM) plates with complex shapes are analyzed by using the R-functions method. The thickness of the plate is variable in the direction of one of the axes. Two types of porosity distributions through the thickness are considered: uniform (even) and non-uniform (uneven). The elastic foundation is defined by two parameters (Winkler and Pasternak). To obtain the mathematical model of the problem, the first-order shear deformation theory of the plate (FSDT) is used. The effective material properties in the thickness direction are modeled by means of a power law. Variational Ritz’s method joined with the R-functions theory is used for obtaining a semi-analytical solution of the problem. The approach is applied to a number of case studies and validated by means of comparative analyses carried out on rectangular plates with a traditional finite element approach. The proof of the efficiency of the approach and its capability to handle actual engineering problems is fulfilled for FGM plates having complex shapes and various boundary conditions. The effect of different parameters, such as porosity distribution, volume fraction index, elastic foundation, FGM types, and boundary conditions, on the vibrations is studied.

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Section: Testmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Free Vibration Analysis of Porous Functionally Graded Material Plates with Variable Thickness on an Elastic Foundation Using the R-Functions Method

Kurpa,

Pellicano,

Shmatko

et al. 2024

MCA

View full text Add to dashboard Cite

show abstract

“…They graded the porous FG material using uneven porosity and logarithmic-uneven porosity distributions. Balak et al [28] studied the free vibration response of an elliptical sandwich microplate made of a saturated porous core and two piezoelectric face sheets. The microplate is on the elastic foundation, and governing equations of the problem are derived using firstorder shear deformation theory.…”

Section: Introductionmentioning

confidence: 99%

Vibration analysis of porous orthotropic cylindrical panels resting on elastic foundations based on shear deformation theory

TURAN

2023

International Journal of Engineering and Applied Sciences

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Cylindrical panels are one of the most essential structural members of engineering structures, with mechanical, civil, aeronautical, and marine engineering applications. They are subjected to a wide range of vibrational loads. This article presents a novel higher-order porosity distribution and a free vibration analysis for porous orthotropic cylindrical panels resting on elastic foundations under higher-order shear deformation theory. It is assumed that cylindrical panels are composed of porous materials with uniformly and non-uniformly distributed pores. The porous panels' material properties are distributed in the thickness direction using specific functions. The equations of motion are derived using Hamilton's principle based on trigonometrical shear deformation theory and solved by performing the Galerkin solution procedure with simply supported edge conditions. The accuracy of the obtained natural frequency equation is confirmed by comparing the results to those of previously published in literature. Under comprehensive parametric studies, the influence of porosity coefficient, porosity distribution patterns, radius-to-curve length ratio, orthotropy, and stiffness of elastic foundation parameters on the free vibration response of porous orthotropic cylindrical panels are discussed in detail.

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Dynamics of a FG porous microbeam with metal foam under deformable boundaries

et al. 2023

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Free vibration behavior of an elliptical sandwich microplate, consisting of a saturated porous core and two piezoelectric face layers, standing on an elastic foundation

Cited by 6 publications

References 30 publications

Free Vibration Analysis of Porous Functionally Graded Material Plates with Variable Thickness on an Elastic Foundation Using the R-Functions Method

Free Vibration Analysis of Porous Functionally Graded Material Plates with Variable Thickness on an Elastic Foundation Using the R-Functions Method

Vibration analysis of porous orthotropic cylindrical panels resting on elastic foundations based on shear deformation theory

Dynamics of a FG porous microbeam with metal foam under deformable boundaries

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