Propagation of natural waves in extended viscoelastic plates of variable thickness

Wedge waves are waveguide modes localized near the edge of an elastic wedge and propagating at a speed lower than bulk surface existing in material. These some interest to practice. The purpose this paper is develop calculation methods based on analysis problem for viscoelastic plates, calculate relative phase velocities along wedge-shaped plate. represented as plates variable thickness. basic equations oscillatory processes obtained basis principle possible displacements. For thickness, hypotheses fulfilled Kirchhoff - Love. relationship between efforts deformations satisfies theory hereditary mechanics. It shown that square eigenwave number infinite strip thickness valid any combination boundary conditions. Using Lagrange formula, biorthogonality conditions wave propagation plate solution sought form traveling longitudinal axis. After that, spectral formulated describes flexural plane made with arbitrary law variation coordinate. numerical problems was carried out computer using software package orthogonal sweep method S.K. Godunov Muller’s method. found contrast band constant cross-section, case small angle base wedge, there finite limit velocity mode propagation. data shows area applicability Kirchhoff-Love limited low frequency range. In region high frequencies, when wavelength comparable or less plate, does not allow us obtain reliable results.