METHOD OF INVERSE PROBLEMS FOR THERMAL DIAGNOSTICS OF THERMOELASTIC STRUCTURES

The application of inverse problems to thermal diagnostics of homogeneous structures is outlined, variational formulations of the problems under study are considered, their solvability is proven, and an iterative solution algorithm is described. The results are applied to the thermal diagnostics of thermoelastic structures, a theorem of existence and uniqueness of the solution to the problem of determining the inhomogeneous thermal characteristics of the medium, which is used to restore the physical and technical image of the diagnosed object, is proved, and the necessary condition for the extremum is formulated in the form of a variational inequality. An example of a numerical solution to the problem under consideration is given and an analysis of the calculation results on the application of the proposed diagnostic technique is given.
The application of inverse problems to thermal diagnostics of homogeneous structures is outlined, variational formulations of the problems under study are considered, their solvability is proven, and an iterative solution algorithm is described. The results are applied to the thermal diagnostics of thermoelastic structures, a theorem of existence and uniqueness of the solution to the problem of determining the inhomogeneous thermal characteristics of the medium, which is used to restore the physical and technical image of the diagnosed object, is proved, and the necessary condition for the extremum is formulated in the form of a variational inequality. An example of a numerical solution to the problem under consideration is given and an analysis of the calculation results on the application of the proposed diagnostic technique is given.
Author:  A.M. Pashaev, A. D. Iskenderov,M. A. Musaeva
Keywords:  thermal diagnostics, thermoelasticity, variational method, inverse problems, diagnostics of structures
Page:  1407