Optimum design of thin-walled i-beam subjected to stress constraint
Abstract
This paper deals with the problem of optimization of a thin-walled open section I-beam loaded in a complex way, subjected to the bending, torsion and constrained torsion. A general case of bending moments about two centroidal axes, the torsion and the bimoment acting simultaneously, is derived and then some particular loading cases are considered. The problem is reduced to the determination of minimum mass, i.e. minimum cross-sectional area of structural thin-walled beam elements of the chosen shape for the given complex loads, material and geometrical characteristics. The optimization parameters have been determined by Lagrange's multipliers method. The area of the cross-section has been selected as the objective function. The stress constraint is introduced and used as the constraint function. The obtained results are used for numerical calculation.
Keywords:
thin-walled beams / optimization / optimal dimensionsSource:
Journal of Theoretical and Applied Mechanics, 2012, 50, 4, 987-999Publisher:
- Polish Society of Theoretical and Allied Mechanics
Funding / projects:
- Pressure equipment integrity under simultaneous effect of fatigue loading and temperature (RS-MESTD-Technological Development (TD or TR)-35011)
- Developed new methods for diagnosis and examination mechanical structures (RS-MESTD-Technological Development (TD or TR)-35040)
Collections
Institution/Community
Mašinski fakultetTY - JOUR AU - Anđelić, Nina AU - Milošević-Mitić, Vesna PY - 2012 UR - https://machinery.mas.bg.ac.rs/handle/123456789/1539 AB - This paper deals with the problem of optimization of a thin-walled open section I-beam loaded in a complex way, subjected to the bending, torsion and constrained torsion. A general case of bending moments about two centroidal axes, the torsion and the bimoment acting simultaneously, is derived and then some particular loading cases are considered. The problem is reduced to the determination of minimum mass, i.e. minimum cross-sectional area of structural thin-walled beam elements of the chosen shape for the given complex loads, material and geometrical characteristics. The optimization parameters have been determined by Lagrange's multipliers method. The area of the cross-section has been selected as the objective function. The stress constraint is introduced and used as the constraint function. The obtained results are used for numerical calculation. PB - Polish Society of Theoretical and Allied Mechanics T2 - Journal of Theoretical and Applied Mechanics T1 - Optimum design of thin-walled i-beam subjected to stress constraint EP - 999 IS - 4 SP - 987 VL - 50 UR - https://hdl.handle.net/21.15107/rcub_machinery_1539 ER -
@article{ author = "Anđelić, Nina and Milošević-Mitić, Vesna", year = "2012", abstract = "This paper deals with the problem of optimization of a thin-walled open section I-beam loaded in a complex way, subjected to the bending, torsion and constrained torsion. A general case of bending moments about two centroidal axes, the torsion and the bimoment acting simultaneously, is derived and then some particular loading cases are considered. The problem is reduced to the determination of minimum mass, i.e. minimum cross-sectional area of structural thin-walled beam elements of the chosen shape for the given complex loads, material and geometrical characteristics. The optimization parameters have been determined by Lagrange's multipliers method. The area of the cross-section has been selected as the objective function. The stress constraint is introduced and used as the constraint function. The obtained results are used for numerical calculation.", publisher = "Polish Society of Theoretical and Allied Mechanics", journal = "Journal of Theoretical and Applied Mechanics", title = "Optimum design of thin-walled i-beam subjected to stress constraint", pages = "999-987", number = "4", volume = "50", url = "https://hdl.handle.net/21.15107/rcub_machinery_1539" }
Anđelić, N.,& Milošević-Mitić, V.. (2012). Optimum design of thin-walled i-beam subjected to stress constraint. in Journal of Theoretical and Applied Mechanics Polish Society of Theoretical and Allied Mechanics., 50(4), 987-999. https://hdl.handle.net/21.15107/rcub_machinery_1539
Anđelić N, Milošević-Mitić V. Optimum design of thin-walled i-beam subjected to stress constraint. in Journal of Theoretical and Applied Mechanics. 2012;50(4):987-999. https://hdl.handle.net/21.15107/rcub_machinery_1539 .
Anđelić, Nina, Milošević-Mitić, Vesna, "Optimum design of thin-walled i-beam subjected to stress constraint" in Journal of Theoretical and Applied Mechanics, 50, no. 4 (2012):987-999, https://hdl.handle.net/21.15107/rcub_machinery_1539 .