Volume 97,   №5

INVERSE PROBLEM OF THERMAL DIAGNOSTICS OF MULTIPLY CONNECTED STRUCTURES WITH HETEROGENEOUS MATERIALS



A study has been made of the inverse problem on determining the thermophysical characteristics of multiply connected structures with heterogeneous materials, that are taken as the sign of their diagnostics. The procedure of diagnostics is based on solution of the inverse problem on determining the thermophysical characteristics of objects in a variational formulation. The quality functional for this formulation is new, not used before in the theory of inverse problems and diagnostics. The theorem of singe-valued solvability of the inverse problem in question has been proved, the iterative algorithm of its solution has been presented, and the extreme properties of the quality functional have been established. The proposed procedure is based on observations beyond an object and allows diagnostics in a nondestructive noncontact regime. Initial data with an error and the infl uence of the standard on solution are discussed.
A study has been made of the inverse problem on determining the thermophysical characteristics of multiply connected structures with heterogeneous materials, that are taken as the sign of their diagnostics. The procedure of diagnostics is based on solution of the inverse problem on determining the thermophysical characteristics of objects in a variational formulation. The quality functional for this formulation is new, not used before in the theory of inverse problems and diagnostics. The theorem of singe-valued solvability of the inverse problem in question has been proved, the iterative algorithm of its solution has been presented, and the extreme properties of the quality functional have been established. The proposed procedure is based on observations beyond an object and allows diagnostics in a nondestructive noncontact regime. Initial data with an error and the infl uence of the standard on solution are discussed.

Author:  A. M. Pashaev, A. D. Iskenderov, M. A. Musaeva
Keywords:  variational method, inverse problem, solvability, thermal diagnostics, thermophysical characteristics.
Page:  1121

A. M. Pashaev, A. D. Iskenderov, M. A. Musaeva.  INVERSE PROBLEM OF THERMAL DIAGNOSTICS OF MULTIPLY CONNECTED STRUCTURES WITH HETEROGENEOUS MATERIALS //Journal of engineering physics and thermophysics. . Volume 97, №5. P. 1121.


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