Science – Future of Lithuania / Mokslas – Lietuvos Ateitis, Vol 5, No 5 (2013)

Optimization Of Elastic Bridge Trusses

Ignas Rimkus (Vilniaus Gedimino technikos universitetas, Lithuania)
Šarūnas Kisevičius (Vilniaus Gedimino technikos universitetas, Lithuania)
Stanislovas Kalanta (Vilniaus Gedimino technikos universitetas, Lithuania)

Abstract


The article analyzes the problems of optimizing elastic bridgetrusses, which is a tool for seeking the establishment of theminimum volume (mass) of construction and optimization of thecross-section area and height as well as the structure of the truss.It has been formulated as a nonlinear discrete mathematical programmingproblem. The upper band of the truss works not onlyfor compression but also for bending. The cross-sections of theelements are designed from rolled steel sections. Mathematicalmodels are prepared by using the finite element method and complyingwith requirements for the strength, stiffness and stabilityof the structure. The formulated problems are solved referringto an iterative process and applying the mathematical softwarepackage “MATLAB” along with routine “fmincon”. The ratio ofbuckling is corrected in every case of iteration. Requirementsfor cross-section assortment (discretion) are fulfilled employingthe branch and bound method.

Article in: Lithuanian

Article published: 2013-12-19

Keyword(s): elastic steel truss, finite elements, nonlinear optimization problem.

DOI: 10.3846/mla.2013.79

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Science – Future of Lithuania / Mokslas – Lietuvos Ateitis ISSN 2029-2341, eISSN 2029-2252
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