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Designing Devices for Uniform Steady-State Heating with the Method of Evolutionary Structural Optimization

  • HEAT CONDUCTION AND HEAT TRANSFER IN TECHNOLOGICAL PROCESSES
  • Published:
Journal of Engineering Physics and Thermophysics Aims and scope

The problem of topology optimization of a heat-conducting object for the criterion of uniformity of the steady-state temperature field in an assigned domain was formulated for the first time. To solve the problem, the authors proposed a method of evolutionary topology optimization on the basis of solution of a system of linear equations with a fictitious vector of the right-hand side (heat load). The method is distinguished by the technique of formation of a vector whose components are considered as weight factors. The power distribution function of the weight coefficients was proposed. Selection of the objective function (temperature at the node, average temperature in an assigned domain, and uniformity of the temperature field) is controlled by the vector of the fictitious heat load. The method was tested on three problems: of minimization of the average temperature of a plate with a uniform heat generation, of minimization of the temperature difference in an assigned domain of a square plate, and of optimization of the structure of a mold for vulcanizing an industrial rubber article. The method has shown high efficiency and versatility.

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Authors and Affiliations

  1. Federal State Budgetary Educational Institution of Higher Education “Tambov State Technical University”, 106 Sovetskaya Str., Tambov, 392000, Russia

    A. O. Glebov, S. V. Karpushkin & E. N. Malygin

Authors
  1. A. O. Glebov
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  2. S. V. Karpushkin
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  3. E. N. Malygin
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Corresponding author

Correspondence to S. V. Karpushkin.

Additional information

E. N. Malygin is deceased.

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 95, No. 6, pp. 1419–1431, November–December 2022.

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Glebov, A.O., Karpushkin, S.V. & Malygin, E.N. Designing Devices for Uniform Steady-State Heating with the Method of Evolutionary Structural Optimization. J Eng Phys Thermophy 95, 1393–1405 (2022). https://doi.org/10.1007/s10891-022-02608-6

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  • DOI: https://doi.org/10.1007/s10891-022-02608-6

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