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PresentationsOn normal waves in a semicircular waveguide with an elastic flat boundary195251, Saint-Petersburg, 29 Politekhnicheskaya Street, Building B The problem of wave propagation in a semi-circular channel filled with an ideal compressible liquid is considered. The bottom of the channel is perfectly rigid, and the horizontal surface of the channel is covered with an elastic plate that can only vibrate in bending. The edges of the plate are hinged to the sides of the channel. The field of joint acoustic vibrations in the liquid and vibrational displacements of the plate under the influence of a point harmonic force applied to the surface of the plate is sought. An equation is derived for the wave numbers of the normal waves in the channel. Algorithms for approximate numerical search for wave numbers are proposed. Methods for overcoming difficulties in finding complex wave numbers are formulated, and the meaning of the energy carried by the normal waves corresponding to these numbers is discussed. An equation is constructed for finding the frequencies of the propagation of waveguide waves, and formulae are derived for the approximate search for these frequencies. The related problem of constructing a wave scattering matrix in adjoined waveguide, one of the semi-infinite parts of which is covered by an elastic plate, while the surface of the other part is free, is considered
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