Free vibrations of simply supported layered and multiphase magneto-electro-elastic cylindrical shells
TL;DR: The free vibrations of simply supported magneto-electro-elastic cylindrical shells are studied in this article, where a series solution is assumed in the circumferential and axial directions of the shell to preserve the three-dimensional character of the structure.
Abstract: The free vibrations of simply supported magneto-electro-elastic cylindrical shells are studied. A series solution is assumed in the circumferential and axial directions of the shell to preserve the three-dimensional character of the structure. The constitutive equations of the magneto-electro-elastic medium involving mechanical, electrical and magnetic fields are used to derive the finite element model for the system. The influence of the piezomagnetic effect on the structural frequencies of the cylindrical shell is studied. A comparison is made between a shell with a layered configuration and one with a multiphase system. The study is carried out for a typical shell with simply supported boundary conditions for different ratios of length to radius and radius to thickness to analyse the frequency behaviour.
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TL;DR: In this article, two additional solutions of new shear-horizontal surface acoustic waves (SH-SAWs) are found in a theoretical report, where the SH-SAW propagation is managed by the free surface of a solid when it has a direct contact with a vacuum.
Abstract: Two additional solutions of new shear-horizontal surface acoustic waves (SH-SAWs) are found in this theoretical report. The SH-SAW propagation is managed by the free surface of a solid when it has a direct contact with a vacuum. The studied smart solid represents the transversely isotropic piezoelectromagnetic (magnetoelectroelastic or MEE) medium that pertains to crystal symmetry class 6 mm. In the developed theoretical treatment, the solid surface must be mechanically free. Also, the magnetic and electrical boundary conditions at the common interface between a vacuum and the solid surface read: the magnetic and electrical displacements must continue and the same for the magnetic and electrical potentials. To obtain these two new SH-SAW solutions, the natural coupling mechanisms such as eμ-hα and eμ-α2 present in the coefficient of the magnetoelectromechanical coupling (CMEMC) can be exploited. Based on the obtained theoretical results, it is possible that a set of technical devices (filters, sensors, delay lines, lab-on-a-chip, etc.) based on smart MEE media can be developed. It is also blatant that the obtained theoretical results can be helpful for the further theoretical and experimental studies on the propagation of the plate SH-waves and the interfacial SH-waves in the MEE (composite) media. The most important issue can be the influence of the magnetoelectric effect on the SH-wave propagation. One must also be familiar with the fact that the surface, interfacial, and plate SH-waves can frequently represent a common tool for nondestructive testing and evaluation of surfaces, interfaces, and plates, respectively.
5 citations
Cites background or methods from "Free vibrations of simply supported..."
...References [53] [54] provide the material characteristics of different BaTiO3-CoFe2O4 hexagonal (6 mm) composites pertaining to the (0-3) connectivity when the PE phase serving as the 3-D matrix contains the PM phase as 0-D inclusions....
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...Following the results given in papers [53] [54], the material constants are given as percentage volume fraction (VF) of BaTiO3 in the composites consisting of BaTiO3-CoFe2O4....
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TL;DR: In this paper, the state vector equations of space axisymmetric problems for transversely isotropic magneto-electro-elastic media are established in terms of the governing equations of the problem.
Abstract: The state vector equations of space axisymmetric problems for transversely isotropic magneto-electro-elastic media are established in terms of the governing equations of the problem. The method is based on the mixed formulation of the stresses, displacements, electric displacements and magnetic induction on the surface. Using the Hankel integral transform and the theory of ordinary differential equations, the state vector solutions for a single-layer magneto-electro-elastic media are presented in the Hankel transform space. Boussinesq's solution for the magneto-electro-elastic half-space problem is obtained in the Hankel integral form. A general analytical formulation for the transversely isotropic, multilayered magneto-electro-elastic axisymmetric problems is presented by using the transfer matrix method. Numerical results are given. We have observed that the stacking sequences have a clear influence on most physical quantities. These features should be of special interest in the design of magneto-electro-elastic composite structures.
5 citations
Cites background from "Free vibrations of simply supported..."
...Some authors have studied the static and dynamic responses of multilayered piezoelectric and magneto-electro-elastic structures [15–18]....
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TL;DR: In this paper, the acoustic response of a magneto-electro-elasticity (MEE) shell structure is determined using three-dimensional (3D) theory of elasticity.
Abstract: In this approach, acoustic response of a Magneto-electro-elasticity (MEE) shell structure is determined using three-dimensional (3D) theory of elasticity. The structure is composed of a curved shel...
5 citations
01 Jul 2010
TL;DR: In this paper, the dynamic response of a magneto-electro-elastic sensor bonded to a cylindrical shell is studied for clamped and free conditions with different sensor locations.
Abstract: The dynamic response of a magneto-electro-elastic sensor bonded to a cylindrical shell is addressed in this paper. A semi-analytical finite-element method is used to model the structure. The cylinder is subjected to an internal pressure and the response is studied for clamped—free and clamped—clamped boundary conditions with different sensor locations. Proportional damping is assumed and the Newmark-beta method is used as the solution technique. The response is found to be the maximum when the sensor is placed at the clamped end. It is advisable to place the sensor at the free end than in the middle to replicate the nature of load history.
5 citations
TL;DR: In this article, the harmonic response of a magneto-electro-elastic axisymmetric cylinder accounting for displacement current is carried out using the semi-analytical finite element method.
Abstract: Displacement current is associated with the generation of magnetic fields due to time-varying electric fields. The harmonic response of a magneto-electro-elastic axisymmetric cylinder accounting for displacement current is carried out using the semi-analytical finite element method. The non-conservative electric field is represented using a magnetic vector potential. Studies are carried out for the first circumferential harmonics of the shell structure with the clamped–free boundary condition. The contribution made to the magnetic flux density by the electric displacement current is very small at lower frequencies but it becomes significant at higher frequencies.
4 citations
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TL;DR: In this paper, exact solutions for three-dimensional, anisotropic, linearly magneto-electroelastic, simply-supported, and multilayered rectangular plates under static loadings are derived.
Abstract: Exact solutions are derived for three-dimensional, anisotropic, linearly magneto-electroelastic, simply-supported, and multilayered rectangular plates under static loadings. While the homogeneous solutions are obtained in terms of a new and simple formalism that resemble the Stroh formalism, solutions for multilayered plates are expressed in terms of the propagator matrix. The present solutions include all the previous solutions, such as piezoelectric, piezomagnetic, purely elastic solutions, as special cases, and can therefore serve as benchmarks to check various thick plate theories and numerical methods used for the modeling of layered composite structures. Typical numerical examples are presented and discussed for layered piezoelectric/piezomagnetic plates under surface and internal loads.
584 citations
TL;DR: In this paper, the dispersion equation that characterizes the relationship between the natural frequency and the wavenumber can be obtained in a simple form for multilayered rectangular plates, and the present solution includes all previous solutions, such as piezoelectric, piezomagnetic and purely elastic solutions as special cases.
349 citations
TL;DR: In this paper, a homogenization micromechanical method is employed for the prediction of the effective moduli of electro-magneto-thermo-elastic composites.
Abstract: A homogenization micromechanical method is employed for the prediction of the effective moduli of electro-magneto-thermo-elastic composites. These include the effective elastic, piezoelectric, piezomagnetic, dielectric, magnetic permeability and electromagnetic coupling moduli, as well as the effective thermal expansion coefficients and the associated pyroelectric and pyromagnetic constants. Comparisons between the present homogenization theory, the generalized method of cells and the Mori-Tanaka predictions are given. Results are presented for fibrous and periodically bilaminated composites.
326 citations
TL;DR: In this article, the state vector equations for three dimensional, orthotropic and linearly magneto-electro-elastic media are derived from the governing equations by eliminating σ x, σ y · τ xy, B x, B y, D x and D y.
158 citations
TL;DR: In this paper, a partial mixed layerwise finite element model for adaptive plate structures is presented by considering a Reissner mixed variational principle, and the mixed functional is formulated using transverse stresses, displacement components and electric and magnetic potentials as primary variables.
148 citations