Natural frequency analysis of 2D-FGM thick hollow cylinder based on three-dimensional elasticity equations

Asgari, Masoud; Akhlaghi, Mehdi

doi:10.1016/j.euromechsol.2010.10.002

Cited by 61 publications

(32 citation statements)

References 36 publications

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“…Axisymmetric cylinder with two dimensional material distributions. 37 ously through the elements, accuracy can be improved without refining the mesh size. 39,40 Based on these facts the graded finite element developed by the author 41 is used for modeling of the present problem.…”

Section: -7mentioning

confidence: 99%

“…[27][28][29][30][31][32][33][34][35][36] The author also has investigated the natural frequencies of a thick hollow cylinder with finite length made of 2D-FGM. 37 The influence of constituent volume fractions on natural frequencies was studied by varying the volume fractions of the constituent metals and ceramics. Furthermore, the effects of length and thickness of the cylinder on fundamental natural frequency were considered in different types of 2D-FGM cylinder.…”

Section: -7mentioning

confidence: 99%

“…In such cases, the volume fraction variation of the metal is proposed as a power law relation. 37 Using the rule of mixtures, the distribution of material properties is obtained.…”

Section: Volume Fraction and Materials Distribution In 2d-fgm Cylindermentioning

confidence: 99%

See 2 more Smart Citations

Free Vibration Analysis of Functionally Heterogeneous Hollow Cylinder Based on Three Dimensional Elasticity Theory

Asgari¹

2017

IJAV

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A two-dimensional functionally heterogeneous thick hollow cylinder with a finite length is considered and its natural modes and frequencies are determined. Since mode shapes of a thick cylinder are three-dimensional, even with axisymmetric conditions, three-dimensional theory of elasticity implemented for problem formulation. The axisymmetric conditions are assumed for the cylinder. The material properties of the two-dimensional functionally graded material (2D-FGM) cylinder are varied in the radial and axial directions with power law functions. Effects of volume fraction distribution on the different types of anti-symmetric mode shape configuration and vibrational behaviour of a simply supported cylinder are analyzed. Three-dimensional equations of motion are used and the eigen value problem is developed based on direct variational method. The study shows that the 2D-FGM cylinder exhibit interesting vibrational characteristics and mode shapes when the constituent volume fractions are varied.

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Section: -7mentioning

confidence: 99%

Section: -7mentioning

confidence: 99%

See 1 more Smart Citation

Free Vibration Analysis of Functionally Heterogeneous Hollow Cylinder Based on Three Dimensional Elasticity Theory

Asgari¹

2017

IJAV

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“…Material properties at each point can be obtained by using the linear rule of mixtures, in which a material property, P, at any arbitrary point (r, z) in the 2D-FGM cylinder is determined by linear combination of volume fractions and material properties of the basic materials, as in [22]:…”

Section: Volume Fraction and Materials Distribution In 2d-fgm Cylindermentioning

confidence: 99%

“…The author also has investigated the natural frequencies of a thick hollow cylinder with finite length made of 2D-FGM [22]. The influence of constituent volume fractions on natural frequencies was studied by varying the volume fractions of the constituent metals and ceramics.…”

Section: Introductionmentioning

confidence: 99%

Two Dimensional Functionally Graded Material Finite Thick Hollow Cylinder Axisymmetric Vibration Mode Shapes Analysis Based on Exact Elasticity Theory

Asgari¹

2015

Journal of Theoretical and Applied Mechanics

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Abstract. A thick hollow cylinder with finite length made of twodimensional functionally graded material (2D-FGM) is considered and its natural modes are determined, based on great importance of mode shapes information in order to understand vibration behaviour of structures. Three dimensional theory of elasticity implemented for problem formulation, since mode shapes of a thick cylinder are three dimensional even with axisymmetric conditions. The axisymmetric conditions are assumed for the 2D-FGM cylinder. The material properties of the cylinder are varied in the radial and axial directions, with power law functions. Effects of volume fraction distribution on the different types of symmetric mode shapes configuration and vibration behaviour of a simply supported cylinder are analyzed. Three dimensional equations of motion are used and the eigen value problem is developed, based on direct variation method.

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Functionally graded cylinders: Vibration analysis

2023

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The problems of steady‐state and free oscillations of functionally graded hollow cylinders are considered in the present article, with the cylinders' properties considered changing along the radial or longitudinal coordinates. The stress–strain state was described using the model of an isotropic body with the variable Lamé parameters and density. The cylinders were assumed to be subjected to the normal and tangential loads. In order to obtain the numerical problem solutions, the finite element method was employed. The effect of variable properties on the amplitude–frequency characteristics and the resonant frequencies values for various cylinders types is estimated. Some features, which can be used in solving new inverse coefficient problems on material properties identification based on acoustic sounding data, are revealed.

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Natural frequency analysis of 2D-FGM thick hollow cylinder based on three-dimensional elasticity equations

Cited by 61 publications

References 36 publications

Free Vibration Analysis of Functionally Heterogeneous Hollow Cylinder Based on Three Dimensional Elasticity Theory

Free Vibration Analysis of Functionally Heterogeneous Hollow Cylinder Based on Three Dimensional Elasticity Theory

Two Dimensional Functionally Graded Material Finite Thick Hollow Cylinder Axisymmetric Vibration Mode Shapes Analysis Based on Exact Elasticity Theory

Functionally graded cylinders: Vibration analysis

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