An approach to solving the inverse problem of thermoelasticity based on the influence function method is proposed. Using influence functions makes it possible to represent thermal stress and temperature as functions of the desired vector. Numerical results of thermal load identification are presented, characterized by a random variable distributed according to the normal law, measured with an error in thermal stress. The approach under consideration is applied to solving problems of the thermal stress state of drones under the condition of insufficient information about the thermal load on the surface. In the case when the time behavior of the temperature and radial displacements of the surface is known, inverse problems of thermoelasticity are formulated based on the method proposed in the article. Thermoelastic deformations due to temperature are numerically presented and determined. The study of problems of integral equations for the bodies under consideration showed that they are practically Abel-type integral equations. Functional spaces for which the problems are correctly posed are determined. Based on the analytical results, it is possible to draw a conclusion about the fulfillment of the conditions of equality of the values of the given temperature, radial displacements and pressures at a certain point in time. The model is based on the direct problem of determining the parameters of a nonlinear system according to the theory of thin-walled elements using a combination of the boundary element method and the variational identification method. In turn, this ensures a minimum value of the functional reflecting the change in the indicators of the stress-strain state from those calculated on the basis of values obtained as a result of observations.
Task Solving Organization of the Inverse Thermoelasticity Problem For a Rectangular Plate
22.10.2024
313191 byte
Aufsatz (Konferenz)
Elektronische Ressource
Englisch
TASK SOLVING ORGANIZATION OF INVERSE PROBLEMS OF THERMOELASTICITY FOR A THIN RING
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