 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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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 |
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