On the uniqueness and non-uniqueness of the solution of acoustic boundary-contact problems. (Russian. English summary) Zbl 0533.73034

Belinskij, B. P.

Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 128, 21-32 (1983).

Summary: The infinite acoustic waveguide with an elastic partition and rigid sides and the waveguide with elastic sides and rigid partition are considered. The existence of the eigenfunction of the boundary problem in the first case and uniqueness of the solution of the boundary problem in the second case are determined. A plate being in a medium and supported by a rigid rib is considered. The case of periodical set of ribs is also discussed. The uniqueness of the solution is determined in both cases.

MSC:

74J99	Waves in solid mechanics
74A55	Theories of friction (tribology)
74M15	Contact in solid mechanics

Keywords:

existence of eigenfunction; uniqueness of solution; plate supported by rigid rib; infinite acoustic waveguide; elastic partition; rigid sides; elastic sides; rigid partition; periodical set of ribs