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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2025 Number 5, Pages 69–72 (Mi vmumm4723)

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Compensation of plate deflection by a system of concentrated forces

O. A. Kilikovskayaa, N. V. Ovchinnikovab, V. N. Dyadechkoc

a Lomonosov Moscow State University, Institute of Mechanics
b Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
c Lomonosov Moscow State University, Faculty of Cosmic Research

Abstract: We consider the inverse problem of bending an elastic circular plate when it is necessary to determine the values of the forces, acting at some points and causing a given approximately values of deflection at that points.

Key words: inverse problem, bending of circular plate, Tikhonov regularization.

UDC: 539.3

Received: 13.11.2024

DOI: 10.55959/MSU0579-9368-1-66-5-12


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2025, 80:5, 211–216


© Steklov Math. Inst. of RAS, 2026