Three-dimensional dynamics of functionally graded piezoelectric cylindrical panels by a semi-analytical approach

Liang, Xu; Deng, Yu; Cao, Zeng; Jiang, Xue; Wang, Titao; Ruan, Yongbin; Zha, Xing

doi:10.1016/j.compstruct.2019.111176

Cited by 16 publications

(2 citation statements)

References 37 publications

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“…In this case, Durbin's method will provide a fast and effective result. MDM is an efficient solution procedure whose theoretical background is available in the literature [22,23]. The method is also successfully applied in other structural mechanics problems such as those involving spherical shells [24], Timoshenko beam [25] and cylinders [26].…”

Section: Introductionmentioning

confidence: 99%

A practical Jointed Approach to Functionally Graded Structures by Differential Transform Method

Keles¹,

Ertürk²

2019

European Mechanical Science

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In this study, a practical jointed approach in the static vibration investigation of functionally graded material (FGM) structures under internal pressure is applied by differential transform method (DTM). The FGM material consist of isotropic material that show exponential variation in the thickness. The ratio of Poisson is taken as a constant. Displacement and stress distributions due to non-homogeneous constant are intended. Stress distribution dependent on the homogeneity parameter is computed and the results obtained for cylindrical and spherical structures were compared with finite element method (FEM). The inhomogeneity parameter is empirically regulated, with a continuously varying volume fraction of the constituents. The parameters for homogeneity were randomly selected to show displacement and stress distributions.

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Section: Introductionmentioning

confidence: 99%

A practical Jointed Approach to Functionally Graded Structures by Differential Transform Method

Keles¹,

Ertürk²

2019

European Mechanical Science

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“…In the 3D investigation of the FGP cylindrical shells, Chen et al [19] analyzed dynamic response of a FGP hollow cylinder which encompass a compressible fluid. A semi-analytical method using Laplace transform and DQ methods is introduced by Liang et al [20] for investigating the dynamic behavior of FGP cylindrical panels in different boundary conditions. Propagating the waves in reinforced FG porous plates was investigated by Gao et al [21] using CPT, FSDT and HSDT.…”

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confidence: 99%

Hybrid integral transform and p-version FEM for thermo-mechanical analysis of a functionally graded piezoelectric hollow cylinder subjected to asymmetric loads

2021

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As the first endeavor, a combination of fast Fourier transform (FFT) and p-version of finite element method is proposed for electro-thermo-elastic analysis of a thick hollow cylinder under asymmetric thermal loadings. In shells of revolution, the proposed FFT-pFE method is accompanied by a significant decrease in the computational costs. Due to the problem periodicity in such structures, the FFT technique is used to discretize the governing equations into a set of harmonics. Each harmonic is then partitioned using higher order finite elements. Hierarchical finite elements based on Legendre polynomial interpolation functions are utilized to discretize 2D governing equations of a functionally graded piezoelectric (FGP) cylinder. 3D governing equations of a FGP hollow cylinder are then discretized by using the higher-order Lagrangian finite elements. The effects of FFT grid-size as well as the order of the interpolation functions are investigated on convergence behavior of the proposed mixed FFT-pFE method. The material properties, with the exception of the Poisson's ratio, are considered to vary along the radius of the cylinder. The governing equations are derived using the principle of virtual displacements. For a 3D FGP hollow cylinder, the influence of axially and circumferentially non-symmetric thermal loadings is presented in contour plots.

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Three-dimensional piezo-viscoelastic behavior of FGM cylindrical panel with piezoelectric layers under electro-mechanical loads

Maslak,

Alibeigloo

2023

Archiv.Civ.Mech.Eng

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Three-dimensional dynamics of functionally graded piezoelectric cylindrical panels by a semi-analytical approach

Cited by 16 publications

References 37 publications

A practical Jointed Approach to Functionally Graded Structures by Differential Transform Method

A practical Jointed Approach to Functionally Graded Structures by Differential Transform Method

Hybrid integral transform and p-version FEM for thermo-mechanical analysis of a functionally graded piezoelectric hollow cylinder subjected to asymmetric loads

Three-dimensional piezo-viscoelastic behavior of FGM cylindrical panel with piezoelectric layers under electro-mechanical loads

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