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Application of the Variational Method of Homogeneous Solutions for the Optimal Control of the Axisymmetric Thermoelastic State of a Cylinder

  • V. F. Chekurin
  • L. I. Postolaki
Article

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.

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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  • V. F. Chekurin
    • 1
  • L. I. Postolaki
    • 1
  1. 1.Pidstryhach Institute for Applied Problems in Mechanics and MathematicsUkrainian National Academy of SciencesLvivUkraine

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