Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

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

  • 24 Accesses

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.

This is a preview of subscription content, log in to check access.

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).

  2. 2.

    V. A. Maiorov, L. L. Vasil'ev, and V. M. Polyaev, Inzh.-Fiz. Zh.,47, No. 3, 499–514 (1984).

  3. 3.

    M. T. Dzhenaliev, Numerical Methods of Solving Problems of Mathematical Physics and Optimization [in Russian], Alma-Ata (1983), pp. 44–47.

  4. 4.

    Ya. S. Podstrigach and R. N. Shvets, Thermoelasticity of Thin Shells [in Russian], Kiev (1978).

  5. 5.

    I. N. Golub', Avtom. Telemekh.,28, No. 12, 76–78 (1967).

  6. 6.

    V. M. Vigak, Optimal Control of Nonstationary Temperature Regimes [in Russian], Kiev (1979).

  7. 7.

    V. M. Vigak and A. V. Kostenko, Vychisl. Prikl. Mat., No. 45, 3–13, Kiev (1981).

  8. 8.

    A. V. Kostenko and M. B. Viter, Control of Distributed Systems with Moving Action [in Russian], Kuibyshev (1983).

  9. 9.

    I. Babushka, É. Vitasek, and M. Prager, Numerical Processes of the Solution of Differential Equations [in Russian], Moscow (1969).

  10. 10.

    A. A. Samarskii and E. S. Nikolaev, Methods of Solving Network Equations [in Russian], Moscow (1978).

Download references

Author information

Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 53, No. 2, pp. 296–301, August, 1987.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Kostenko, A.V., Viter, M.B. Finite-difference solution of the optimization problem in high-speed heating of a body of simple shape by internal heat sources. Journal of Engineering Physics 53, 959–964 (1987). https://doi.org/10.1007/BF00872426

Download citation

Keywords

  • Statistical Physic
  • Heat Source
  • Temperature Field
  • Internal Heat
  • Simple Shape