Puzyrev V. Spectrums and properties of normal electroelastic waves in piezoceramic cylindrical waveguides with complicated cross-sections

Propagation of normal electroelastic waves in piezoceramic cylindrical waveguides of circular and ring cross-sections with sector cut and circular cross-section with segment cut is examined. Cylindrical boundary surfaces of circular and ring waveguides are considered as free from stresses or fixed while boundary surfaces of sector cut are covered by non-extensible membranes; cylindrical and rectilinear boundary surfaces of circular waveguides with segment cut are considered as fixed. Dispersion functions in an analytical form of finite and infinite functional determinants for each value of the generalized circle wave number are obtained. Numerical analysis of the real, imaginary and complex branches of full dispersion spectrum with various symmetry of wave movements is carried out, leading effects of spectrum transformation by sector or segment cut angular measure variation are enlightened, mode critical frequencies and wave asymptotic behavior is analyzed, kinematic and energetic wave characteristicsare obtained and characterized.