Abstract
The form and parameters of boundary conditions are identified for the boundary-value problem of string vibrations. It is shown that, to identify both the form and parameters of boundary conditions, two natural frequencies are sufficient. The correctness set of the given problem is determined, and its well-posedness according to Tikhonov is proved. Based on the proven theorem, a method of finding approximate solutions is proposed.
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Original Russian Text © A.M. Akhtyamov, I.M. Utyashev, 2015, published in Akusticheskii Zhurnal, 2015, Vol. 61, No. 6, pp. 647–655.
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Akhtyamov, A.M., Utyashev, I.M. Identification of boundary conditions at both ends of a string from the natural vibration frequencies. Acoust. Phys. 61, 615–622 (2015). https://doi.org/10.1134/S1063771015050012
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DOI: https://doi.org/10.1134/S1063771015050012