 | | 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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| V. A. Postnov and G. A. Tumashik, "Stability optimization of a cantilever beam subjected to a non-conservative compressive force," Mech. Solids. 41 (2), 72-80 (2006) |
| Year |
2006 |
Volume |
41 |
Number |
2 |
Pages |
72-80 |
| Title |
Stability optimization of a cantilever beam subjected to a non-conservative compressive force |
| Author(s) |
V. A. Postnov (St. Petersburg)
G. A. Tumashik (St. Petersburg) |
| Abstract |
For a cantilever beam subjected to a retarded follower force, the increase
of the critical load by means of the material redistribution along the beam
length is considered. The influence of the time delay parameter
is studied in detail. It is shown that the optimization of a
non-conservatively loaded beam can result in substantial (up to
several times) increase in the critical load. For the optimized beams,
only the flutter instability is observed. As the system
non-conservativeness increases, the critical load multiplicity (i.e., the
number of coinciding local optima) for the optimal beam also
increases. |
| References |
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| 4. | H. Ziegler, Basic Principles of the Theory of Stability of
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| 16. | Q. H. Zuo and H. L. Schreyer, "Flutter and divergence instability
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| 17. | K. Vepa, "Generalization of an energetic optimality
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| 18. | F. Odeh, and I. Tadjbakhsh, "The shape of the strongest
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| 20. | M. Hanaoka and K. Washizu, "Optimal design of Beck's column,"
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| 21. | W. Gutkowski, O. Mahrenholz, and M. Pyrz, "Minimum weight
design of structures under nonconservative forces," in Optimization
of Large Structural Systems, pp. 1087-1100, Kluwer, Dortrecht, 1993. |
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| 23. | M. A. Langthjem and Y. Sugiyama, "Optimal design of
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isoperimetric inequalities for eigenvalues," Trans. ASME. Ser. E. J.
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| 25. | V. A. Postnov and G. A. Tumashik, "Optimization of a
cantilever prismatic beam with respect to the critical flutter
load," Probl. Prochnosti i Plastichnosti [in Russian], NNGU, Nizhnii
Novgorod, No. 63, pp. 104-111, 2001. |
|
| Received |
07 October 2005 |
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