Identification of the parameters of the stress–strain problem for a multicomponent elastic body with an inclusion

Сергиенко, И. В.; Deineka, V. S.

doi:10.1007/s10778-010-0319-z

Cited by 3 publications

(1 citation statement)

References 7 publications

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“…This yields the explicit expressions for the gradients ¢ J u n for each step of the iterative process (19) of the identification of different (including several simultaneously) parameters of elliptic, parabolic, elliptic-parabolic, pseudoparabolic, hyperbolic, and pseudohyperbolic multicomponent distributed systems [21][22][23][24][25], identification of the parameters of compound rod systems, compound thin plates, multicomponent bodies of elastic, thermoelastic deformation [26,27].…”

Section: Parameter Identification In Multicomponent Distributed Systemsmentioning

confidence: 99%

Numerical systems analysis of multicomponent distributed systems

Сергиенко

Deineka

2013

Cybern Syst Anal

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The paper presents the results in the construction of high-accuracy computational algorithms for the classes of partial derivative problems with discontinuous solutions, including ill-posed and eigenvalue problems. The optimal control in complex distributed systems is investigated. On the basis of the optimal control theory, explicit expressions are obtained for gradients of residual functionals to identify different parameters of multicomponent distributed systems. The possibility of using pseudoinverse matrices to solve some linear inverse problems in a finite number of arithmetic operations is considered.

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Section: Parameter Identification In Multicomponent Distributed Systemsmentioning

confidence: 99%

Numerical systems analysis of multicomponent distributed systems

Сергиенко

Deineka

2013

Cybern Syst Anal

Self Cite

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Mathematical Modeling and Analysis of Complex Processes

Сергиенко

2014

Topical Directions of Informatics

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On Certain Problems of Identification of Thermal Density of the Temperature State of the Hollow Cylinder Shell

Aralova

2020

Cybernetics and Computer Technologies

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Introduction. In conditions of the active use of composite materials, as when accomplishing the tasks of extending the service life of existing structures, problems on recovering unknown parameters of their components under the known data on their surface arise. In [1-4], to solve the problems of identification ofparameters of a wide range, it is proposed to construct explicit expressions of the gradients of residual functionals by means of the corresponding conjugate problems obtained from the theory of optimal control of the states of multicomponent distributed systems, which is the development of the corresponding researches of Zh. Lyons. In [5-7], this technology is extended to the problem of thermoelastic deformation of multicomponent bodies. In this article some problems of optimal control of the temperature state of a cylindrical body with a cavity are considered. The purpose of the paper is to show the algorithm for identifying the parameters of a cylindrical hollow shell, based on the theory of optimal control and using the gradient methods of Alifanov. Results. Based on the theory of optimal control, the temperature control of a cylindrical shell is studied. To solve the problem of identifying the parameters of a hollow cylindrical shell, namely, finding the heat flux powers on its surfaces, based on [1,2,5-7], a direct and conjugate problem and gradients of non-viscous functionals are constructed. Discretization by the finite element method using piecewise quadratic functions is carried out and accuracy estimates for it are presented. The initial problem in the model examples presented is solved using gradient methods, where at each step of determining the (n + 1) the approximation of the solution, the direct and adjoint problems are solved using finite element method with the help piecewise quadratic functions by minimizing the corresponding energy functional. A number of model examples solved.

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Identification of the parameters of the stress–strain problem for a multicomponent elastic body with an inclusion

Cited by 3 publications

References 7 publications

Numerical systems analysis of multicomponent distributed systems

Numerical systems analysis of multicomponent distributed systems

Mathematical Modeling and Analysis of Complex Processes

On Certain Problems of Identification of Thermal Density of the Temperature State of the Hollow Cylinder Shell

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