Propagation of acoustoelectric waves in a hollow cylinder whose physicomechanical properties have a radial symmetry axis

The general case of off-axis propagation of acoustoelectric waves in hollow cylinders made of a piezoelectric material such as a crystal of the class mm2 orthorhombic system with a two-fold radial symmetry axis is investigated. The basic system of equations for the wave problem in circular cylindrical coordinates is reduced to eight equations of the Hamiltonian type in the radial coordinate. A solution of the generalized spectral problem for harmonic waves is found by numerical methods. Special cases of the general problem are considered. The results of solving specific problems are analyzed. Taras Shevchenko National University, Kiev, Ukraine. Translated from Prikladnaya Mekhanika, Vol. 35, No. 7, pp 49–58, July, 1999     

Transient waves in an inhomogeneous hollow infinite cylinder

Effects on transient waves of circumferential and radial inhomogeneity are studied in a plane-strain hollow cylinder. A periodic circumferential inhomogeneity modulating a constant value is analyzed adopting the Galerkin method where trial functions are chosen as the axisymmetric and asymmetric modes of the homogeneous cylinder. A periodic radial inhomogeneity is analyzed by dividing the cylinder into annular segments of constant width. A stepwise variation in modulus is assumed where modulus is constant over each segment. Adopting transfer matrices, continuity of state variables at interfaces of segments establishes the global dynamic equilibrium of the segmented cylinder. The static-dynamic superposition method is employed to solve for transient response.