Diffraction of plane sound waves by elastic cylindrical shells with different types of longitudinal fixations

The problem of the plane wave diffraction by a cylindrical shell with a longitudinal fixation along one of its generatrices is solved for different fixation conditions with the use of the aperiodic eigensolutions to the equations of the shell motion. One of the conditions is a rigid fixation, and the other is a longitudinal cut with free boundaries. The diffraction field is represented in the form of a convergent series in cylindrical harmonics. The scattering amplitude of the diffraction field is calculated for different fixations, frequencies, angles of incidence, and parameters of the shell. Physical explanations of the results of calculations are proposed.