An Approach to the Optimization of a Thin-walled Z-beam
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2009
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One approach to the optimization of a thin-walled open section Z-beam subjected to bending and to the constrained torsion is considered. For given loads, material and geometrical characteristics the problem is reduced to the determination of minimum mass i.e. minimum cross-sectional area of a structural thin-walled beam of a chosen shape. 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 formed. The obtained results are used for numerical calculation.
Ključne reči:
thin-walled beams / stress constraints / saved mass / optimization / optimal dimensionsIzvor:
Strojniski Vestnik/Journal of Mechanical Engineering, 2009, 55, 12, 742-748Institucija/grupa
Inovacioni centarTY - JOUR AU - Anđelić, Nina AU - Milošević-Mitić, Vesna AU - Maneski, Taško PY - 2009 UR - https://machinery.mas.bg.ac.rs/handle/123456789/878 AB - One approach to the optimization of a thin-walled open section Z-beam subjected to bending and to the constrained torsion is considered. For given loads, material and geometrical characteristics the problem is reduced to the determination of minimum mass i.e. minimum cross-sectional area of a structural thin-walled beam of a chosen shape. 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 formed. The obtained results are used for numerical calculation. T2 - Strojniski Vestnik/Journal of Mechanical Engineering T1 - An Approach to the Optimization of a Thin-walled Z-beam EP - 748 IS - 12 SP - 742 VL - 55 UR - https://hdl.handle.net/21.15107/rcub_machinery_878 ER -
@article{ author = "Anđelić, Nina and Milošević-Mitić, Vesna and Maneski, Taško", year = "2009", abstract = "One approach to the optimization of a thin-walled open section Z-beam subjected to bending and to the constrained torsion is considered. For given loads, material and geometrical characteristics the problem is reduced to the determination of minimum mass i.e. minimum cross-sectional area of a structural thin-walled beam of a chosen shape. 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 formed. The obtained results are used for numerical calculation.", journal = "Strojniski Vestnik/Journal of Mechanical Engineering", title = "An Approach to the Optimization of a Thin-walled Z-beam", pages = "748-742", number = "12", volume = "55", url = "https://hdl.handle.net/21.15107/rcub_machinery_878" }
Anđelić, N., Milošević-Mitić, V.,& Maneski, T.. (2009). An Approach to the Optimization of a Thin-walled Z-beam. in Strojniski Vestnik/Journal of Mechanical Engineering, 55(12), 742-748. https://hdl.handle.net/21.15107/rcub_machinery_878
Anđelić N, Milošević-Mitić V, Maneski T. An Approach to the Optimization of a Thin-walled Z-beam. in Strojniski Vestnik/Journal of Mechanical Engineering. 2009;55(12):742-748. https://hdl.handle.net/21.15107/rcub_machinery_878 .
Anđelić, Nina, Milošević-Mitić, Vesna, Maneski, Taško, "An Approach to the Optimization of a Thin-walled Z-beam" in Strojniski Vestnik/Journal of Mechanical Engineering, 55, no. 12 (2009):742-748, https://hdl.handle.net/21.15107/rcub_machinery_878 .