Optimization of high-speed heating (cooling) an elastic body
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In this work, the author combines the problem of the threshold stress state of an elastic homogeneous isotropic body and the high-speed action of the technological process of heating or cooling. Special attention is given to the problem of optimizing high-speed heating (cooling) on the basis of the parameter of the time-dependent temperature of the environment. The control item is the stress intensity, and the criterion of the threshold state is the Huber-Mises strength criterion. To solve the problem, the standard equations of the thermoelastic state are presented in generalized variables. This excludes several parameters of the problem including the required ones. Direct uncoupled boundary problems of thermal conductivity and elasticity are solved in the dimensionless form by the selected method. The return from generalized variables through the perimetry complexes to the initial variables determines the required values of the parameters of control of heat exchange of the elastic body.
KeywordsThermal Conductivity Stress Intensity Generalize Variable Heat Exchange Boundary Problem
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- 1.Ya. I. Burak, V. M. Vigak, Yu. D. Zozulyak, et al., “Optimization of Mechanical Systems. Index of Domestic and Foreign Literature for 1970–1982 [in Russian], Publishing House of the L'vov Scientific Library, Academy of Sciences of the Ukraine SSR, L'vov (1986).Google Scholar
- 2.A. D. Kovalenko, Fundamentals of Thermoelasticity [in Russian], Naukova Dumka, Kiev (1970).Google Scholar
- 3.V. M. Vizgak, Control of Thermal Stresses and Displacements [in Russian], Naukova Dumka, Kiev (1988).Google Scholar
- 4.S. P. Timoshenko, Lectures in Elasticity Theory [in Russian], Naukova Dumka, Kiev (1972).Google Scholar
- 5.G. P. Gromovoi, “A solution of the axisymmetric problem of thermoelasticity by the component splitting method,” Prikl. Mekh.,27, No. 1, 31–40 (1991).Google Scholar
- 6.A. V. Lykov, Thermal Conductivity Theory [in Russian], Vysshaya Shkola, Moscow (1967).Google Scholar