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IssuesArchive of Issues2010-5pp.701-711

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Total articles in the database: 9179
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N.V. Banichuk, A.A. Barsuk, S.Yu. Ivanova, and E.V. Makeev, "Optimization of Flexible Beams," Mech. Solids. 45 (5), 701-711 (2010)
Year 2010 Volume 45 Number 5 Pages 701-711
DOI 10.3103/S0025654410050055
Title Optimization of Flexible Beams
Author(s) N.V. Banichuk (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str.1, Moscow, 119526 Russia, banichuk@ipmnet.ru)
A.A. Barsuk (Moldova State University, A.Mateevici 60, Kishinev, MD-2009 Moldova, barsuk@usm.md)
S.Yu. Ivanova (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str.1, Moscow, 119526 Russia, ivanova@ipmnet.ru)
E.V. Makeev (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str.1, Moscow, 119526 Russia, makeev@ipmnet.ru)
Abstract We consider the optimal design problem for cantilever beams of variable rigidity loaded at the free end by an arbitrary transverse force. The value of the cantilever free end vertical displacement serves as the optimality criterion, and the distribution of the cantilever thicknesses (cross-sections) is usually used as the design variable. We present results of an asymptotic analysis and a numerical solution of the optimization problem and discuss specific features of the formation of optimal solutions under nonlinear bending.
Keywords optimal design, nonlinear bending of beams
References
1.  N. V. Banichuk, Shape Optimization for Elastic Bodies (Nauka, Moscow, 1980) [in Russian].
2.  E. J. Haug and J. S. Arora, Applied Optimal Design (Wiley, New York, 1979; Mir, Moscow, 1983).
3.  V. A. Troitskii and L. V. Petukhov, Shape Optimization for Elastic Bodies (Nauka, Moscow, 1982) [in Russian].
4.  N. V. Banichuk, Introduction to Optimization of Structures (Nauka, Moscow, 1986) [in Russian].
5.  Yu. B. Goldstein and M. A. Solomeshch, Variational Problems of Statics of Optimal Rod Systems (Izd-vo LGU, Leningrad, 1980) [in Russian].
6.  S. P. Timoshenko and J. Gere, Mechanics of Materials (Van Nostrand, New York, 1972; Mir, Moscow, 1976).
7.  L. V. Kantorovich and G. P. Akilov, Functional Analysis (Nauka, Moscow, 1984) [in Russian].
8.  K. Washizu, Variational Methods in Elasticity and Plasticity (Pergamon Press, New York, 1972; Mir, Moscow, 1987).
Received 31 March 2009
Link to Fulltext http://www.springerlink.com/content/a5v873403025518u/
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