Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
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ISSN 0021-8928
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IssuesArchive of Issues2012-6pp.706-714

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M.D. Motok and J. Jovovic, "A procedure for optimizing laterally loaded stiffened panels (the "Bubnov in Monte Carlo" algorithm)," J. Appl. Math. Mech. 76 (6), 706-714 (2012)
Year 2012 Volume 76 Issue 6 Pages 706-714
Title A procedure for optimizing laterally loaded stiffened panels (the "Bubnov in Monte Carlo" algorithm)
Author(s) M.D. Motok (Belgrade, Serbia, mmotok@mas.bg.ac.rs)
J. Jovovic (Belgrade, Serbia)
Abstract The main objective of this paper is to develop a closed, programmable algorithm for optimizing laterally loaded stiffened panels. To overcome the main obstacle to using present-day sophisticated optimization software tools for that purpose, i.e., the lack of a general formulation of the relations between the load and the response parameters of such models, which are necessary to define programmable failure calculations, an attempt is made to use Bubnov's quasi-analytical formulae, developed for analysing ship hull plating grillages more than a century ago. They are incorporated in a Monte Carlo optimization algorithm, forming a "Bubnov in Monte Carlo" procedure for optimizing laterally loaded stiffened panels. The performance of the algorithm is tested on a number of examples, alternatively analysed using the finite element method. Although a comparison of the results is not entirely straightforward, due to the assumptions and simplifications made in Bubnov's method, the essential criterion of assessment - a general judgment on the occurrence of failures, is found to be satisfied.
Received 23 March 2010
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