One View on the Optimization of Thin-walled Cantilever Channel and Z-section Beams
Апстракт
An approach to the optimization of the thin-walled cantilever open section beams subjected
to thе bending and to the constrained torsion, whose consequencesis are particularly evident in the
case of thin-walled profiles, is considered. The problem is reduced to the determination of
minimum mass i.e. minimum cross-sectional area of structural thin-walled channel-section and Z section beam elements for given loads, material and geometrical characteristics. The area of the
cross-section is assumed to be the objective function. The stress constraints are introduced. A
general case when bending moments about two centroidal axes and the bimoment are acting
simultaneously is derived, and then some particular loading cases are considered. A method of
solving the optimal relation of the parts of the considered cross-section is described. Applying the
Lagrange multiplier method, the equations, whose solutions represent the optimal values of the
ratios of the parts of the chosen... cross-section, are derived. The obtained results are used for
numerical calculation
Кључне речи:
optimization / thin-walled beams / objective function / stress constraintsИзвор:
Proceedings of the 8th International Congress of Serbian Society of Mechanics, Kragujevac, Serbia, 2021, 240-241Финансирање / пројекти:
- Интегритет опреме под притиском при истовременом деловању замарајућег оптерећења и температуре (RS-MESTD-Technological Development (TD or TR)-35011)
- Развој савремених метода дијагностике и испитивања машинских структура (RS-MESTD-Technological Development (TD or TR)-35040)
Колекције
Институција/група
Mašinski fakultetTY - CONF AU - Anđelić, Nina AU - Milošević-Mitić, Vesna AU - Petrović, Ana AU - Đurđević, Đorđe PY - 2021 UR - https://machinery.mas.bg.ac.rs/handle/123456789/6127 AB - An approach to the optimization of the thin-walled cantilever open section beams subjected to thе bending and to the constrained torsion, whose consequencesis are particularly evident in the case of thin-walled profiles, is considered. The problem is reduced to the determination of minimum mass i.e. minimum cross-sectional area of structural thin-walled channel-section and Z section beam elements for given loads, material and geometrical characteristics. The area of the cross-section is assumed to be the objective function. The stress constraints are introduced. A general case when bending moments about two centroidal axes and the bimoment are acting simultaneously is derived, and then some particular loading cases are considered. A method of solving the optimal relation of the parts of the considered cross-section is described. Applying the Lagrange multiplier method, the equations, whose solutions represent the optimal values of the ratios of the parts of the chosen cross-section, are derived. The obtained results are used for numerical calculation C3 - Proceedings of the 8th International Congress of Serbian Society of Mechanics, Kragujevac, Serbia T1 - One View on the Optimization of Thin-walled Cantilever Channel and Z-section Beams EP - 241 SP - 240 UR - https://hdl.handle.net/21.15107/rcub_machinery_6127 ER -
@conference{ author = "Anđelić, Nina and Milošević-Mitić, Vesna and Petrović, Ana and Đurđević, Đorđe", year = "2021", abstract = "An approach to the optimization of the thin-walled cantilever open section beams subjected to thе bending and to the constrained torsion, whose consequencesis are particularly evident in the case of thin-walled profiles, is considered. The problem is reduced to the determination of minimum mass i.e. minimum cross-sectional area of structural thin-walled channel-section and Z section beam elements for given loads, material and geometrical characteristics. The area of the cross-section is assumed to be the objective function. The stress constraints are introduced. A general case when bending moments about two centroidal axes and the bimoment are acting simultaneously is derived, and then some particular loading cases are considered. A method of solving the optimal relation of the parts of the considered cross-section is described. Applying the Lagrange multiplier method, the equations, whose solutions represent the optimal values of the ratios of the parts of the chosen cross-section, are derived. The obtained results are used for numerical calculation", journal = "Proceedings of the 8th International Congress of Serbian Society of Mechanics, Kragujevac, Serbia", title = "One View on the Optimization of Thin-walled Cantilever Channel and Z-section Beams", pages = "241-240", url = "https://hdl.handle.net/21.15107/rcub_machinery_6127" }
Anđelić, N., Milošević-Mitić, V., Petrović, A.,& Đurđević, Đ.. (2021). One View on the Optimization of Thin-walled Cantilever Channel and Z-section Beams. in Proceedings of the 8th International Congress of Serbian Society of Mechanics, Kragujevac, Serbia, 240-241. https://hdl.handle.net/21.15107/rcub_machinery_6127
Anđelić N, Milošević-Mitić V, Petrović A, Đurđević Đ. One View on the Optimization of Thin-walled Cantilever Channel and Z-section Beams. in Proceedings of the 8th International Congress of Serbian Society of Mechanics, Kragujevac, Serbia. 2021;:240-241. https://hdl.handle.net/21.15107/rcub_machinery_6127 .
Anđelić, Nina, Milošević-Mitić, Vesna, Petrović, Ana, Đurđević, Đorđe, "One View on the Optimization of Thin-walled Cantilever Channel and Z-section Beams" in Proceedings of the 8th International Congress of Serbian Society of Mechanics, Kragujevac, Serbia (2021):240-241, https://hdl.handle.net/21.15107/rcub_machinery_6127 .