Elastic waves in piezoceramic cylinders of sector cross-section

Abstract

a b s t r a c tThe propagation of elastic waves in piezoceramic cylindrical waveguides of circular cross-sections with sector cut is investigated on the basis of the linear theory of electroelasticity. Dispersion functions are obtained from boundary conditions in an analytical form of functional determinants for each value of the generalized wave number. A selected set of numerical results including real, imaginary and complex branches of full dispersion spectrums with various symmetry of wave movements is presented to describe the essential characteristics of the waves. Leading effects of spectrums transformation by change of waveguide's angular measure are enlightened, and wave asymptotic behavior is analyzed. The variation of the cross-section is considered as a mechanism to control the dispersion characteristics of waveguides.

Effect of boundary conditions on the interfacial fracture behavior: Circular arc antiplane crack model for an annular sector bilayer plate

“…Bending analysis of a thick orthotropic sector plate with various loading and boundary conditions demonstrate that the maximum deflection occurs on the free boundary and near to the sliding edge [8]. Based on the linear theory of electroelasticity, Puzyrev [9] investigated the propagation of elastic waves in piezoelectric cylindrical waveguides of circular cross-sections with stress-free and displacement-fixed cylindrical surfaces. Based on a two-parameter foundation model, Alipour et al [10] displayed the first two mode shapes of a circular plate with free, simply-supported and clamped edge conditions.…”

“…And the following single-valued condition holds 9 From Eqs. (16), (18) and (26), one can rewrite the (1) zr  as…”

Magneto-Electric Effect on Guided Waves in Functionally Graded Piezoelectric–Piezomagnetic Fan-Shaped Cylindrical Structures

“…Zhou et al [25] studied elastic waves propagating in multiferroic cylinders of fan-shaped cross-section. Guided waves propagating in piezoceramic fan-shaped cylinders were studied by Puzyrev [26,27], and the effect of the variation in angular measure on wave characteristics was analyzed. Storozhev [28] studied elastic waves propagating in layered piezoelectric cylinders of a fan-shaped notch.…”

“…For the fan-shaped cylindrical structures in Ref. [25,26,27,28], the amplitudes of displacements are assumed to be a function with respect to the variable r , i.e., when the angle θ is defined, and the amplitudes of displacements are just unknown with respect to the variable r . Recently, 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.…”

Guided wave propagation in functionally graded cylindrical structures with sector cross-sections

“…Recently, attention has been paid to the wave propagation in cylindrical structures with sector cross-sections. Puzyrev and his co-workers studied the elastic waves in piezoceramic cylinders [16] and axially polarized piezoelectric hollow cylinders [17] both with sector cross-sections, and analyzed the influence of variation in angular measure on dispersion spectrums. Storozhev [18] investigated the propagation of electroelastic waves in multilayer piezoelectric cylinders with sector cross-sections.…”