Optimization and the Dimensional Analysis in Structural Engineering Problems

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Abstract:

this paper considers the possibility of applying the ideas of dimensional analysis in optimization problems of building structures. The mathematical formalism for this opportunity are encouraged to use the method of geometric programming. Demonstration considered optimization problem reinforced concrete slab, which is solved with the help of the program developed by the author. The possibility of obtaining as a result of optimization of analytical expressions for the economic criteria of similarity best options. Also shows the possibility of obtaining optimal solutions in analytical form for those variables in the original problem are not uniquely defined. The very ambiguity of the definition of the variables of the original problem may not be obvious, and it appears in the process of optimizing, which is one of its results.

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Periodical:

Advanced Materials Research (Volumes 945-949)

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1236-1241

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June 2014

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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[1] A.M. Kalyakin, E.V. Chesnokova. Addition to the method of dimensional analysis in hydraulic problems (rus). Magazine of Civil Engineering, No. 2(37), 2013, pp.41-47.

DOI: 10.5862/mce.37.6

Google Scholar

[2] R.J. Duffin; E.L. Peterson, C. Zener Geometric Programming. John Wiley and Sons. p.278. ISBN 0-471-22370-0, (1967).

Google Scholar

[3] S. Boyd, S-J Kim, D. Patil, M. Horowitz Digital circuit optimization via geometric programming. Operations Research, 53(6): 899-932, (2005).

DOI: 10.1287/opre.1050.0254

Google Scholar

[4] A.K. Ojha and K.K. Biswal. Posynomial Geometric Programming Problems with Multiple Parameters JOURNAL OF COMPUTING, VOLUME 2, ISSUE 1, JANUARY 2010, ISSN 2151-9617. Available from https: /sites. google. com/site/journalofcomputing.

Google Scholar

[5] A. Mutapcic, K. Koh, S-J Kim, S. Boyd GGPLAB: A matlab toolbox for geometric programming, 2006. Available from www. stanford. edu/~boyd/ggplab.

Google Scholar

[6] GGPLAB: A Simple Matlab Toolbox for Geometric Programming. Available from http: /www. stanford. edu/~boyd/ggplab.

Google Scholar

[7] Program for solving minimization problems with constraints by geometric programming. Available from http: /www. eceko. com/a3_GP/Zaiavka. pdf.

Google Scholar

[8] V.P. Il'in, V.V. Karpov, A.M. Maslennikov. Numerical methods for solving problems of structural mechanics.М.: Publishing houseАСВ; St. Petersburg, 2005, pp.319-322.

Google Scholar