Solution of one-dimensional boundary value inverse problems for a homogeneous layer
Mathematics. Physics. Mechanics
Аuthors
1*, 2**1. ,
2. Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia
*e-mail: kaf311@mai.ru
**e-mail: azemskov1975@mail.ru
Abstract
A problem of obtaining of physical-mechanical properties of a media using boundary measurements of displacements and thermal fields is considered. The problem is solved in a periodicstatement. An equation binding unknown values to the boundary displacements field is constructed. The field geometry and boundary conditions allow to reduce the problem to an one-dimensional thermoelasticity problem. Resolving equations from which desired values can be obtained are constructed using a finite Fourier's transform of a spatial variable. These equations represent a systme of non-linear algebraic equiations and are solved using numeric methods.Keywords:
thermoelasticity, inverse problem, quotients problem, non-correct problemsDownload