Free vibration behaviour of multiphase and layered magneto-electro-elastic beam

Annigeri, Anandkumar R.; Ganesan, N.; Swarnamani, S.

doi:10.1016/j.jsv.2006.06.044

Cited by 126 publications

(73 citation statements)

References 16 publications

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“…Considering the transverse isotropy of the FGMEE medium [9,44] and for the plane stress problem, we set stress components = = = 0, electric displacement component = 0, and magnetic induction component = 0. The geometric parameters and the chosen Cartesian coordinate system ( , , ) are illustrated in Figure 1.…”

Section: Basic Formulationsmentioning

confidence: 99%

“…Several computational techniques were proposed to investigate the electroelastic, magnetoelastic, and electromagnetic coupling effects of smart structures, such as finite element method (FEM), mesh-free method, and scaled boundary FEM [5][6][7][8][9][10]. 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].…”

Section: Introductionmentioning

confidence: 99%

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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: Basic Formulationsmentioning

confidence: 99%

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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“…By virtue of the orthogonality condition equation (33), the series coefficients G i , G * i and Q read as…”

Section: T) ϑ(T) or M(t)ẽ(t)h (T) At X = 0 F 3 (T) V(t) Or T (T) Atmentioning

confidence: 99%

“…BaTiO 3 material constants. (10 9 Pa) ε i j (10 constants [33,16] are shown in table 4, while the volume density has been computed to be 5550 kg m −3 . The natural frequencies computed for the three boundary conditions equations (32) are listed in table 5 in comparison with the FEM analysis results [33].…”

Section: Free Vibrationmentioning

confidence: 99%

“…Lage and co-workers [32] derived a mixed finite element approach, on the basis of the mixed Reissner variational principle, to model magneto-electro-elastic plates. An in-plane plate finite element was developed and employed by Annigeri and co-workers [33] to study the free vibration behavior of multiphase and layered magneto-electro-elastic beams with different configurations. A boundary element model for the magneto-electro-elastic two-dimensional problem has been developed by Ding and Jiang [34], who found the related fundamental solutions starting from the general harmonic potential solution.…”

Section: Introductionmentioning

confidence: 99%

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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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Dynamic modeling of a thermo–piezo-electrically actuated nanosize beam subjected to a magnetic field

2016

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Free vibration behaviour of multiphase and layered magneto-electro-elastic beam

Cited by 126 publications

References 16 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

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

Dynamic modeling of a thermo–piezo-electrically actuated nanosize beam subjected to a magnetic field

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