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The problem of finding boundary conditions for fastening of a ring membrane,which are inaccessible for direct observation from the natural frequencies ofits flexural oscillations, is considered. Two theorems on the uniqueness ofthis problem are proved, and a method for establishing the unknown conditionsfor fastening of the membrane to the walls is indicated. An approximate formulafor determining the unknown conditions is obtained, using first three naturalfrequencies. The method of approximate calculation of unknown boundaryconditions, is explained with the help of an example. Keywords: Boundaryconditions, inverse spectral problem, membrane, natural frequencies, Pluckercoordinates, Plucker relation.

Identification of Boundary Conditions Using Natural Frequencies in Case of a Ring Membrane