Abstract
Functionally graded piezoelectric–piezomagnetic (FGPP) material simultaneously consists of piezomagnetic and piezoelectric phases, which are able to convert energy among mechanical, electric, and magnetic fields. The magneto-electric effect on waves in FGPP fan-shaped cylindrical structures is studied by exploiting the double Legendre orthogonal polynomial method. By means of the Heaviside function, the initial conditions are brought into wave motion equations. Dispersion properties, electric and magnetic potential, and the Poynting vector are calculated. Subsequently, the effect of the graded variation and geometric size on wave characteristics is analyzed. The FGPP fan-shaped cylindrical structures are of complex geometrical shape and material inhomogeneity, so their influences on the magneto-electric effect are the focus of discussion. Results reveal that the cut-off frequencies have a negative relationship with the cross-section area of the structure. The magneto-electric effect could be adjusted via altering the geometric size of the cross-section. These results can be utilized to design and optimize piezoelectric–piezomagnetic fan-shaped transducers.
Highlights
It is well known that the piezoelectric material has the piezoelectric effect and converse piezoelectric effect, i.e., energy transformation between mechanical and electric fields
By using the double Legendre orthogonal polynomial method, wave characteristics in functionally graded piezoelectric–piezomagnetic (FGPP) rectangular bars were investigated by Zhang et al [24]
To design and optimize the FGPP cylindrical transducers, the magneto-electric effect on waves in FGPP fan-shaped cylindrical structures is studied via exploiting the double Legendre orthogonal polynomial method
Summary
It is well known that the piezoelectric material has the piezoelectric effect and converse piezoelectric effect, i.e., energy transformation between mechanical and electric fields. To design and optimize the FGPP transducers, wave characteristics in FGPP structures were investigated by utilizing different kinds of models and methods. By using the double Legendre orthogonal polynomial method, wave characteristics in FGPP rectangular bars were investigated by Zhang et al [24]. Studied elastic waves propagating in multiferroic cylinders of fan-shaped cross-section. Zhang et al [29] proposed a new 2-D model, in which the amplitudes of displacements are completely unknown with respect to the variables r and θ, to investigate the complex guided waves in fan-shaped cylindrical structures. To design and optimize the FGPP cylindrical transducers, the magneto-electric effect on waves in FGPP fan-shaped cylindrical structures is studied via exploiting the double Legendre orthogonal polynomial method. The initial conditions, i.e., traction-free and open-circuit, are given
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