UDC 517.95:519.86:539.3

Methods of pseudoinverse algebra in identification problems for the state of thick elastic plate

/ P.S. Knopov, T.V. Pepelyaeva, I.Yu. Demchenko / V.A. Stoyan, K.V. Dvirnychuk // Kibernetika i sistemnyi analiz. — 2016. — Vol. 52, N 4. — P. 65–75.

The authors solve problems of identifying the three-dimensional function of transverse displacements of points of a thick elastic plate of finite dimensions, whose dynamics is described by the linear differential model with discrete and continuous observations of the initial-boundary external–dynamic perturbations of the plate. The working criterion was selected as RMS criterion of matching the solution to the observations of the plate and methods of linear pseudo-inverse algebra. The conditions for the accuracy and uniqueness of the identification results are formulated. Figs: 0. Tabl.: 0. Refs: 16 titles.

Keywords:

linear dynamic systems, thick elastic plates, incorrect initial-boundary problems, identification, pseudo-inversion.


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Author(s):

Стоян Владимир Антонович, доктор физ.-мат. наук, профессор Киевского национального университета имени Тараса Шевченко,
e-mail: v_a_stoyan@ukr.net

Двирничук Константин Васильевич, кандидат физ.-мат. наук, ассистент Черновицкого национального университета имени Юрия Федьковича,
e-mail: k_v_dvirnychuk@ukr.net