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Abstract The multiferroic materials, which combine two or more ferroic properties together, have attracted extensive researchers’ attention since the millennium, and have significant application prospects in sensors, transducer, memory devices, energy harvesters and smart structures. Working performance of these devices is closely relevant to the material property, the characteristics of wave propagation and attenuation in the structures. Hence, wave propagating in multiferroic materials has drawn an ever-increasing interest from the academic community. Based on the linear theory of electro-magneto-elasticity, the propagation of elastic waves in multiferroic cylindrical waveguides of sectorial annular cross-section is analyzed. The longitudinal cuts are covered by non-extensible, and electrically/magnetically shorted membranes and the cylindrical surface may have arbitrary boundary conditions. A wave potential method is exploited to solve the three-dimensional coupled equations, and the characteristic equation is established in analytical form, from which the dispersion relations are readily obtained. Representative examples are performed to investigate the crucial characteristics of the waves by looking into the full dispersion spectra, phase velocity curves and cutoff frequencies. Numerical results demonstrate that phase velocities and cutoff frequencies depend considerably on the waveguide’s angular measure, radius ratio and weak interface parameter, which should be significant factors to control the dispersion characteristics of the multiferroic waveguide of specific materials. It’s noteworthy to point out that a peculiar frequency bandgap is found in phase velocity curves for special boundary condition, which is normally emerged in periodic structure. Due to the analytical feature of the present method and formulations, the present study can be used to verify other numerical methods, and to serve as a benchmark for monitoring in cylindrical structures or devices.
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Received: 14 July 2022
Published: 17 February 2023
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2023, Vol. 44 
