The optimization problem of the elastic foundation beams

Authors

  • А. А. Дисковский Национальная металлургическая академия Украины Пр. Гагарина 4, г. Днепропетровск, Украина, 49600, Ukraine
  • Л. П. Кагадий Национальная металлургическая академия Украины Пр. Гагарина 4, г. Днепропетровск, Украина, 49600, Ukraine
  • И. В. Пасечник Национальная металлургическая академия Украины Пр. Гагарина 4, г. Днепропетровск, Украина, 49600, Ukraine

DOI:

https://doi.org/10.15587/1729-4061.2009.5981

Abstract

The bending of a beam on an elastic foundation variable along the beam stiffness is considered. As an objective function in the optimization problem is chosen the change stiffness norm. Dual problems are solved with constraints on the compliance of the beam and on the overall stiffness of the base. Optimality conditions are obtained. The singular optimization problems are solved. Numerical examples are given

Author Biographies

А. А. Дисковский, Национальная металлургическая академия Украины Пр. Гагарина 4, г. Днепропетровск, Украина, 49600

Кандидат технических наук, доцент

Кафедра высшей  математики

Л. П. Кагадий, Национальная металлургическая академия Украины Пр. Гагарина 4, г. Днепропетровск, Украина, 49600

Кандидат физико-математических наук, профессор

Кафедра высшей  математики

И. В. Пасечник, Национальная металлургическая академия Украины Пр. Гагарина 4, г. Днепропетровск, Украина, 49600

Кандидат технических наук, доцент

Кафедра высшей  математики

References

  1. Andrianov I.V., Awrejcewicz I., Diskovsky A.A. Optimal design of ring-stiffened shells. Fakta Universitatis. Series: Mechanics, 2007, vol. 6, (1), 75-80.
  2. Andrianov I.V., Awrejcewicz I., Diskovsky A.A. Homogenization of quasipeodic structures. Trans. ASME I. Vibr. Acounstics, 2006, vol. 128 (4), 532-534.
  3. Bunichuk N.V. Introduction to Optimization of Structures. Springer-Verlag, New Yourk, 1990.

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Published

2009-04-01

How to Cite

Дисковский, А. А., Кагадий, Л. П., & Пасечник, И. В. (2009). The optimization problem of the elastic foundation beams. Eastern-European Journal of Enterprise Technologies, 2(5(38), 47–50. https://doi.org/10.15587/1729-4061.2009.5981

Issue

Vol. 2 No. 5(38) (2009): Applied physics and materials science

Section

Applied mechanics

License

Copyright (c) 2014 А. А. Дисковский, Л. П. Кагадий, И. В. Пасечник

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