Journal of engineering physics

, Volume 53, Issue 2, pp 959–964 | Cite as

Finite-difference solution of the optimization problem in high-speed heating of a body of simple shape by internal heat sources

  • A. V. Kostenko
  • M. B. Viter
Article
  • 19 Downloads

Abstract

A method is proposed for construction of optimal fast-response control of body heating under constraints on the control (internal heat sources) and the temperature field or stress-strain parameters.

Keywords

Statistical Physic Heat Source Temperature Field Internal Heat Simple Shape 

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Literature cited

  1. 1.
    Ya. S. Podstrigach, Ya. I. Burak, A. R. Gachkevich, and L. V. Chernyavskaya, Thermoelasticity of Electrically Conductive Bodies [in Russian], Kiev (1977).Google Scholar
  2. 2.
    V. A. Maiorov, L. L. Vasil'ev, and V. M. Polyaev, Inzh.-Fiz. Zh.,47, No. 3, 499–514 (1984).Google Scholar
  3. 3.
    M. T. Dzhenaliev, Numerical Methods of Solving Problems of Mathematical Physics and Optimization [in Russian], Alma-Ata (1983), pp. 44–47.Google Scholar
  4. 4.
    Ya. S. Podstrigach and R. N. Shvets, Thermoelasticity of Thin Shells [in Russian], Kiev (1978).Google Scholar
  5. 5.
    I. N. Golub', Avtom. Telemekh.,28, No. 12, 76–78 (1967).Google Scholar
  6. 6.
    V. M. Vigak, Optimal Control of Nonstationary Temperature Regimes [in Russian], Kiev (1979).Google Scholar
  7. 7.
    V. M. Vigak and A. V. Kostenko, Vychisl. Prikl. Mat., No. 45, 3–13, Kiev (1981).Google Scholar
  8. 8.
    A. V. Kostenko and M. B. Viter, Control of Distributed Systems with Moving Action [in Russian], Kuibyshev (1983).Google Scholar
  9. 9.
    I. Babushka, É. Vitasek, and M. Prager, Numerical Processes of the Solution of Differential Equations [in Russian], Moscow (1969).Google Scholar
  10. 10.
    A. A. Samarskii and E. S. Nikolaev, Methods of Solving Network Equations [in Russian], Moscow (1978).Google Scholar

Copyright information

© Plenum Publishing Corporation 1988

Authors and Affiliations

  • A. V. Kostenko
    • 1
  • M. B. Viter
    • 1
  1. 1.Institute of Applied Problems of Mechanics and MathematicsAcademy of Sciences of the Ukrainian SSRLvov

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