Free vibration studies of simply supported non-homogeneous functionally graded magneto-electro-elastic finite cylindrical shells

Bhangale, Rajesh; Ganesan, N.

doi:10.1016/j.jsv.2005.04.008

Cited by 122 publications

(44 citation statements)

References 10 publications

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“…Bhangale and Ganesan analyzed the static behaviors of linear anisotropic FGMEE plates using semianalytical FEM and investigated the free vibration of FGMEE plates and cylindrical shells [11,12]. A layerwise partial mixed FEM was proposed to model MEE plates [13].…”

Section: Introductionmentioning

confidence: 99%

An Inhomogeneous Cell‐Based Smoothed Finite Element Method for Free Vibration Calculation of Functionally Graded Magnetoelectroelastic Structures

Cai

Meng

Wang

2018

Shock and Vibration

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To overcome the overstiffness and imprecise magnetoelectroelastic coupling effects of finite element method (FEM), we present an inhomogeneous cell-based smoothed FEM (ICS-FEM) of functionally graded magnetoelectroelastic (FGMEE) structures. Then the ICS-FEM formulations for free vibration calculation of FGMEE structures were deduced. In FGMEE structures, the true parameters at the Gaussian integration point were adopted directly to replace the homogenization in an element. The ICS-FEM provides a continuous system with a close-to-exact stiffness, which could be automatically and more easily generated for complicated domains, thus significantly decreasing the numerical error. To verify the accuracy and trustworthiness of ICS-FEM, we investigated several numerical examples and found that ICS-FEM simulated more accurately than the standard FEM. Also the effects of various equivalent stiffness matrices and the gradient function on the inherent frequency of FGMEE beams were studied.

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Section: Introductionmentioning

confidence: 99%

An Inhomogeneous Cell‐Based Smoothed Finite Element Method for Free Vibration Calculation of Functionally Graded Magnetoelectroelastic Structures

Cai

Meng

Wang

2018

Shock and Vibration

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“…Bhangale and Ganesan [13] studied the free vibration on FGM magneto-electro-elastic cylindrical shells using a series solution. Kong et al [14] presented an analytical method to investigate thermo -magneto-elastic stresses and perturbation of the magnetic field vector in a conducting non-homogeneous hollow cylinder under thermal shock.…”

Section: Introductionmentioning

confidence: 99%

Numerical Solution for a FG Cylinder Problem Using Finite-Difference Method

Mashat¹

2011

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A refined finite-difference approach is presented to solve the thermoelastic problem of functionally graded cylinders. Material properties of the present cylinder are assumed to be graded in the radial direction according to a power-law distribution in terms of the volume fractions of the metal and ceramic constituents. The governing second-order differential equations are derived from the motion and the heat-conduction equations. Numerical results for dimensionless temperature, radial displacement, mechanical stresses and electromagnetic stress are distributed along the radial directions. The effects of time parameter and the functionally graded coefficient are investigated.

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“…In order to model general boundary condition configurations, the use of numerical methods is required. Bhangale and Ganesan [30] derived a hybrid formulation for analyzing the free vibrations problem of magneto-electro-elastic functionally graded cylindrical shells, by using series expansions in the circumferential and axial directions and finite elements in the radial one. A FE model has been used by Buchanan [14,31] to study the multilayer and multiphase magneto-electro-elastic materials response.…”

Section: Introductionmentioning

confidence: 99%

An analytical solution for the magneto-electro-elastic bimorph beam forced vibrations problem

Milazzo¹,

Orlando²,

Alaimo³

2009

Smart Mater. Struct.

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Based on the Timoshenko beam theory and on the assumption that the electric and magnetic fields can be treated as steady, since elastic waves propagate very slowly with respect to electromagnetic ones, a general analytical solution for the transient analysis of a magneto-electro-elastic bimorph beam is obtained. General magneto-electric boundary conditions can be applied on the top and bottom surfaces of the beam, allowing us to study the response of the bilayer structure to electromagnetic stimuli. The model reveals that the magneto-electric loads enter the solution as an equivalent external bending moment per unit length and as time-dependent mechanical boundary conditions through the definition of the bending moment. Moreover, the influences of the electro-mechanic, magneto-mechanic and electromagnetic coupling on the stiffness of the bimorph stem from the computation of the beam equivalent stiffness constants. Free and forced vibration analyses of both multiphase and laminated magneto-electro-elastic composite beams are carried out to check the effectiveness and reliability of the proposed analytic solution.

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Free vibration studies of simply supported non-homogeneous functionally graded magneto-electro-elastic finite cylindrical shells

Cited by 122 publications

References 10 publications

An Inhomogeneous Cell‐Based Smoothed Finite Element Method for Free Vibration Calculation of Functionally Graded Magnetoelectroelastic Structures

An Inhomogeneous Cell‐Based Smoothed Finite Element Method for Free Vibration Calculation of Functionally Graded Magnetoelectroelastic Structures

Numerical Solution for a FG Cylinder Problem Using Finite-Difference Method

An analytical solution for the magneto-electro-elastic bimorph beam forced vibrations problem

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