Geometrical-acoustics approach to the description of localized vibrational modes of an elastic solid wedge

Abstract

A geometrical-acoustics theory is derived for localized vibrational modes of an elastic solid wedge, or "wedge\nacousiic waves." Simple analytical expressions are derived for the phase velocities and displacement\namplitudes of antisymmetric modes of an acute-angle wedge. The effect of deviarions of a real wedge from the\nideal geometry, including the effect of edge curvaturg on the phase velocities of the wedge waves is analyzed.