Open AccessThe inverse non-stationary problem of identification of defects in an elastic rod
Author(s) -
G. V. Fedotenkov,
Dmitry I. Makarevskii,
Yana A. Vahterova,
Trah Quyet Thang
Publication year - 2021
Publication title -
incas buletin
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.282
H-Index - 10
eISSN - 2247-4528
pISSN - 2066-8201
DOI - 10.13111/2066-8201.2021.13.s.6
Subject(s) - identification (biology) , inverse problem , context (archaeology) , aerospace , computer science , engineering , mechanical engineering , structural engineering , mathematics , mathematical analysis , aerospace engineering , geology , paleontology , botany , biology
Non-stationary inverse problems of deformed solid mechanics are among the most underexplored due to, inter alia, increasing dimension of non-stationary problems per unit as compared with stationary and static problems, as well as necessity to consider the initial conditions. In the context of the continuing progress of the aviation and aerospace industries, the question arises about technical condition monitoring of aircraft for the purposes of their safe operation. A large proportion of an aircraft structure consists of beam and rod elements exposed to various man-made and natural effects which cause defects inaccessible for visual inspection and required to be identified well in advance. It is well known that defects (such as cracks, cavities, rigid and elastic inclusions) are concentrators of stresses and largely cause processes, which lead to the destruction of elastic bodies. Therefore, the problem of identification of such defects and their parameters, i.e. the problem of identification, represents a great practical interest. Mathematically, the problem of identification represents a non-linear inverse problem. The development of methods of solving such problems is currently a live fundamental research issue.