The optimization of a thin walled I-beam subjected to displacement constraint
Апстракт
One approach to the optimization of a thin walled cantilever I-beam subjected to constrained torsion is
considered. The aim of this paper is the determination of the minimum mass i.e. minimum cross sectional
area of structural thin-walled I-beam elements for given loads, material and geometrical characteristics.
That is why the area of the cross section is assumed to be the objective function. The displacement
constraints are introduced: allowable angle of twist and allowable angle of twist per unit length. The
starting points during the formulation of the basic mathematical model are the assumptions of the thin walled beam theory from one side and the basic assumptions of the optimum design from the other.
Applying the Lagrange multiplier method, the equation of the second order, which solutions represent the
optimal values of the ratios of the parts of the chosen cross section, is formed. The obtained results are used
for numerical calculation applying The Finite Elem...ent Method.
Кључне речи:
optimization / thin-walled beams / optimal dimensions / displacement constraintИзвор:
Proceedings of the 1th International Congress of Serbian Society of Mechanics, 2007, 2007, 359-366Колекције
Институција/група
Mašinski fakultetTY - CONF AU - Anđelić, Nina AU - Milošević-Mitić, Vesna PY - 2007 UR - https://machinery.mas.bg.ac.rs/handle/123456789/5935 AB - One approach to the optimization of a thin walled cantilever I-beam subjected to constrained torsion is considered. The aim of this paper is the determination of the minimum mass i.e. minimum cross sectional area of structural thin-walled I-beam elements for given loads, material and geometrical characteristics. That is why the area of the cross section is assumed to be the objective function. The displacement constraints are introduced: allowable angle of twist and allowable angle of twist per unit length. The starting points during the formulation of the basic mathematical model are the assumptions of the thin walled beam theory from one side and the basic assumptions of the optimum design from the other. Applying the Lagrange multiplier method, the equation of the second order, which solutions represent the optimal values of the ratios of the parts of the chosen cross section, is formed. The obtained results are used for numerical calculation applying The Finite Element Method. C3 - Proceedings of the 1th International Congress of Serbian Society of Mechanics, 2007 T1 - The optimization of a thin walled I-beam subjected to displacement constraint EP - 366 SP - 359 UR - https://hdl.handle.net/21.15107/rcub_machinery_5935 ER -
@conference{ author = "Anđelić, Nina and Milošević-Mitić, Vesna", year = "2007", abstract = "One approach to the optimization of a thin walled cantilever I-beam subjected to constrained torsion is considered. The aim of this paper is the determination of the minimum mass i.e. minimum cross sectional area of structural thin-walled I-beam elements for given loads, material and geometrical characteristics. That is why the area of the cross section is assumed to be the objective function. The displacement constraints are introduced: allowable angle of twist and allowable angle of twist per unit length. The starting points during the formulation of the basic mathematical model are the assumptions of the thin walled beam theory from one side and the basic assumptions of the optimum design from the other. Applying the Lagrange multiplier method, the equation of the second order, which solutions represent the optimal values of the ratios of the parts of the chosen cross section, is formed. The obtained results are used for numerical calculation applying The Finite Element Method.", journal = "Proceedings of the 1th International Congress of Serbian Society of Mechanics, 2007", title = "The optimization of a thin walled I-beam subjected to displacement constraint", pages = "366-359", url = "https://hdl.handle.net/21.15107/rcub_machinery_5935" }
Anđelić, N.,& Milošević-Mitić, V.. (2007). The optimization of a thin walled I-beam subjected to displacement constraint. in Proceedings of the 1th International Congress of Serbian Society of Mechanics, 2007, 359-366. https://hdl.handle.net/21.15107/rcub_machinery_5935
Anđelić N, Milošević-Mitić V. The optimization of a thin walled I-beam subjected to displacement constraint. in Proceedings of the 1th International Congress of Serbian Society of Mechanics, 2007. 2007;:359-366. https://hdl.handle.net/21.15107/rcub_machinery_5935 .
Anđelić, Nina, Milošević-Mitić, Vesna, "The optimization of a thin walled I-beam subjected to displacement constraint" in Proceedings of the 1th International Congress of Serbian Society of Mechanics, 2007 (2007):359-366, https://hdl.handle.net/21.15107/rcub_machinery_5935 .