В пятом номере журнала Lobachevskii Journal of Mathematics за 2023 год опубликована статья «Identification of Elastic Boundary Conditions and Crack Depth», соавторами которой являются сотрудники Института механики им. Р.Р. Мавлютова УФИЦ РАН (к.ф.-м.н. У.О. Агишева и к.ф.-м.н. М.Н. Галимзянов).

Аннотация:
In this article it was shown for the first time that stiffness of the elastic fixing springs of both rod ends, as well as the crack depth, which is located between the ends, are determined by four natural frequencies of the rod longitudinal vibrations. Moreover, if the crack is located in the middle of the rod the springs stiffness is defined up to a displacement in the fastening at its ends, and the depth of the crack is determined explicitly. If the crack is not located in the middle of the rod, then the stiffness of the springs, as well as the depth of the crack, are determined explicitly.

DOI: 10.1134/S1995080223050402

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Mannapova T.M., Agisheva U.O. and Galimzyanov M.N. Identification of Elastic Boundary Conditions and Crack Depth // Lobachevskii Journal Mathematics. 2023. Vol. 44. No. 5. P. 1738-1743. DOI: 10.1134/S1995080223050402