Application of the Variational Method of Homogeneous Solutions for the Optimal Control of the Axisymmetric Thermoelastic State of a Cylinder
| Autor: | V. F. Chekurin, L. I. Postolaki |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Statistics and Probability
Applied Mathematics General Mathematics 010102 general mathematics Mathematical analysis Rotational symmetry Elasticity (physics) Optimal control 01 natural sciences 010305 fluids & plasmas Physics::Fluid Dynamics Variational method Thermoelastic damping Distribution (mathematics) 0103 physical sciences Thermal Cylinder 0101 mathematics Mathematics |
| Zdroj: | Journal of Mathematical Sciences. 243:128-144 |
| ISSN: | 1573-8795 1072-3374 |
| Popis: | We propose a variational approach to the solution of the problem of optimization of a stationary axisymmetric thermal stressed state of a finite solid cylinder by controlling the distribution of volumetric heat sources. The proposed approach is based on the variational method of homogeneous solutions developed earlier for the solution of axisymmetric problems of the theory of elasticity for a cylinder. We study the influence of the height-to-radius ratio of the cylinder on the optimal values of the objective functional and the stressed state. |
| Databáze: | OpenAIRE |
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