Abstract
The paper considers the solution of the problem of determining the topology of the heated load-bearing structure and the size of the load-carrying elements that provide minimum compliance within a given mass using the criteria method of evolutionary optimization. The test cases are solved.
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References
Michell, A.G.M., The Limits of Economy of Material in Frame-Structures, Philosophical Magazine, 1904, vol. 8, no. 47, pp. 589–597.
Komarov, A.A., Osnovy proektirovaniya silovykh konstruktsii (Foundations of Designing Load-Bearing Structures), Kuibyshev: Kuibyshevskoe Knizhnoe Izdatel’stvo, 1965.
Optimal Design. Theory and Applications to Materials and Structures, Vasiliev, V.V. and Gurdal, Z., Eds., Lancaster: Technomic Publishing Co., 1999.
Komarov, V.A., Design of Load-Carrying Schemes for Aircraft Structures, in Aktual’nye problemy aviatsionnoi nauki i tekhniki (Urgent Problems of Aircraft Science and Engineering), Moscow: Mashinostoenie, 1984, pp. 114–129.
Boldyrev, A.V. and Komarov, V.A., Structural Optimization of Lifting Surfaces with Regard to Static Aeroelasticity, Izv. Vuz. Av. Tekhnika, 2008, vol. 51, no. 2, pp. 3–6 [Russian Aeronautics (Engl. Transl.), vol. 51, no. 2, pp. 109–113].
Perel’muter, A.V., Synthesis Problems in the Theory of Structures (a Brief Historical Review), Vestnik TGASU, 2016, no. 2, pp. 70–106.
Bendsoe, M.P. and Kikuchi N., Generating Optimal Topologies in Structural Design Using a Homogenization Method, Computer Methods in Applied Mechanics and Engineering, 1988, vol. 71, no. 2, pp. 197–224.
Bendsoe, M.P., Optimal Shape Design as a Material Distribution Problem, Structural and Multidisciplinary Optimization, 1989, vol. 1, no. 4, pp. 193–202.
Rozvany, G.I.N., Zhou, M., and Birker, T., Generalized Shape Optimization without Homogenization, Structural and Multidisciplinary Optimization, 1992, vol. 4, nos. 3–4, pp. 250–254.
Sigmund, O., A 99 Line Topology Optimization Code Written in MATLAB, Structural and Multidisciplinary Optimization, 2001, vol. 21, no. 2, pp. 120–127.
Liu Kai and Tovar, A., An Efficient 3D Topology Optimization Code Written in MATLAB, Structural and Multidisciplinary Optimization, 2014, vol. 50, no. 6, pp. 1175–1196.
Kretov, A.S., Problem of Designing Heated Load-Bearing Structures, Izv. Vuz. Av. Tekhnika, 1998, vol. 41, no. 3, pp. 9–15 [Russian Aeronautics (Engl. Transl.), vol. 41. no. 3, pp. 7–13].
Kretov, A.S., Design of Thermal Load-Carrying Structures by Strength Conditions, Izv. Vuz. Av. Tekhnika, 1999, vol. 42, no. 1, pp. 7–11 [Russian Aeronautics (Engl. Transl.), vol. 42. no. 1, pp. 7–13].
Rodrigues, H. and Fernandes, P., A Material Based Model for Topology Optimization of Thermoelastic Structures, Numerical Methods in Engineering, 1995, vol. 38, no. 12, pp. 1951–1965.
Jun Yan, Geng-dong Cheng, and Ling Liu, A Uniform Optimum Material Based Model for Concurrent Optimization of Thermoelastic Structures and Materials, International Journal for Simulation and Multidisciplinary Design Optimization, 2008, vol. 2, no. 4, pp. 259–266.
Wang, Z.J., Kretov, A.S., and Shataev, P.A., Strength Design Model for Thin-Walled Structures, Izv. Vuz. Av. Tekhnika, 2019, vol. 62, no. 1, pp. 7–14 [Russian Aeronautics (Engl. Transl.), vol. 62, no. 1, pp. 5–13].
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Russian Text © The Author(s), 2019, published in Izvestiya Vysshikh Uchebnykh Zavedenii, Aviatsionnaya Tekhnika, 2019, No. 4, pp. 27–35.
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Kretov, A.S., Shataev, P.A. Structural Optimization of Load-Bearing Heated Structures. Russ. Aeronaut. 62, 555–563 (2019). https://doi.org/10.3103/S1068799819040044
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DOI: https://doi.org/10.3103/S1068799819040044