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IssuesArchive of Issues2007-6pp.956-964

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Total articles in the database: 9179
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N. V. Banichuk, S. Yu. Ivanova, and E. V. Makeev, "Some problems of optimizing shell shape and thickness distribution on the basis of a genetic algorithm," Mech. Solids. 42 (6), 956-964 (2007)
Year 2007 Volume 42 Number 6 Pages 956-964
Title Some problems of optimizing shell shape and thickness distribution on the basis of a genetic algorithm
Author(s) N. V. Banichuk (Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526, Russia, banichuk@ipmnet.ru)
S. Yu. Ivanova (Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526, Russia, ivanova@ipmnet.ru)
E. V. Makeev (Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526, Russia, makeev@ipmnet.ru)
Abstract We consider problems related to designing axisymmetric shells of minimal weight (mass) and the development of efficient nonlocal optimization methods. The optimization problems under study consist in simultaneous search for the optimal geometry and the shell thickness optimal distribution from the minimal weight condition under strength constraints and additional geometric constraints imposed on the thickness function, the transverse cross-section radii distribution, and the volume enclosed by the shell. Using the method of penalty functions, we reduce the above optimal design problem to a nonconvex minimization problem for the extended Lagrange functional. To find the global optimum, we apply an efficient genetic algorithm. We present the results of numerical solution of the optimal design problem for dome-like shells of revolution under the action of gravity forces. We present some data characterizing the convergence of the method developed here.
References
1.  S. P. Timoshenko and S. Woinowsky-Krieger, Theory of Plates and Shells (McGraw-Hill, New York, 1959; Nauka, Moscow, 1966).
2.  W. Flugge, Stresses in Shells (Springer, Berlin, 1973).
3.  D. E. Goldberg, Genetic Algorithms in Search, Optimization, and Machine Learning (Addison-Westley, Reading, M.A., 1989).
4.  N. V. Banichuk, S. Yu. Ivanova, E. V. Makeev, and A. V. Sinitsin, "Optimal Shape Design of Axisymmetric Shells for Crack Initiation and Propagation under Cyclic Loading," Mech. Based Design. Struct. and Mach. 33 (2), 253-269 (2005).
5.  N. V. Banichuk, S. Yu. Ivanova, E. V. Makeev, and A. V. Sinitsin, "Several Problems of Optimal Design of Shells with Damage Accumulation Taken into Account," in Problems of Strength and Plasticity (Izd-vo NNGU, N. Novgorod, 2005), No. 67, pp. 46-59 [in Russian].
Received 12 December 2006
Link to Fulltext http://www.springerlink.com/content/c4x7056x18118723
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