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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 1999, Volume 40, Issue 1, Pages 207–211 (Mi pmtf3047)  
Design of a transversely layered rod of minimum weight with stability constraint

V. V. Alekhin, L. V. Baev

Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090
Full-text PDF (548 kB)
Abstract: We consider a problem of synthesis of a transversely layered, axially compressed straight rod of minimum weight from a finite set of elastic homogeneous materials with specified constraint imposed on the critical buckling load. To describe the bending of the rod, we use the classical theory of beams based on the hypothesis of plane cross sections. The necessary optimality conditions are obtained, a computational algorithm is developed, and an example of calculation of the optimal rod is given.
Received: 04.06.1997
English version:
Journal of Applied Mechanics and Technical Physics, 1999, Volume 40, Issue 1, Pages 179–182
DOI: https://doi.org/10.1007/BF02467989
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: V. V. Alekhin, L. V. Baev, “Design of a transversely layered rod of minimum weight with stability constraint”, Prikl. Mekh. Tekh. Fiz., 40:1 (1999), 207–211; J. Appl. Mech. Tech. Phys., 40:1 (1999), 179–182
Citation in format AMSBIB
\Bibitem{AleBae99}
\by V.~V.~Alekhin, L.~V.~Baev
\paper Design of a transversely layered rod of minimum weight with stability constraint
\jour Prikl. Mekh. Tekh. Fiz.
\yr 1999
\vol 40
\issue 1
\pages 207--211
\mathnet{http://mi.mathnet.ru/pmtf3047}
\elib{https://elibrary.ru/item.asp?id=35308632}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 1999
\vol 40
\issue 1
\pages 179--182
\crossref{https://doi.org/10.1007/BF02467989}
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