Složeno opterećeni tankozidi nosač I-profila - optimizacija pri naponskom ograničenju
Thin walled I-beam under complex loads: Optimization according to stress constraint
dc.creator | Anđelić, Nina | |
dc.date.accessioned | 2022-09-19T15:36:50Z | |
dc.date.available | 2022-09-19T15:36:50Z | |
dc.date.issued | 2003 | |
dc.identifier.issn | 1451-2092 | |
dc.identifier.uri | https://machinery.mas.bg.ac.rs/handle/123456789/344 | |
dc.description.abstract | Razmatrana je optimizacija složeno opterećenih tankozidih nosača poprečnih preseka oblika I- profila izloženih savijanju i ograničenoj torziji. Iz opšteg slučaja, kada momenti savijanja deluju oko obe glavne težišne ose istovremeno sa bimomentom, izdvojeni su neki posebni slučajevi koji se razmatraju u zavisnosti od slučaja opterećenja. Problem je redukovan na određivanje minimalne mase, t.j. minimalne površine predloženog oblika poprečnog preseka tankozidog nosača, za data složena opterećenja, materijal i geometrijske karakteristike. Zbog toga je površina poprečnog preseka izabrana za funkciju cilja. Pretpostavlja se da odnos debljine i širine pojedinih delova poprečnog preseka nije konstantan. Uvedeno je naponsko ograničenje. Pri formiranju osnovnog matematičkog modela pošlo se od pretpostavki teorije tankozidih štapova sa jedne strane i osnovnih pretpostavki problema optimalnog projektovanja sa druge. Korišćena je metoda Lagranžovog množitelja. Rezultati analitički dobijenih jednačina za matematički model, numerička rešenja, kao i ušteda mase, izračunati su za tri slučaja opterećenja. | sr |
dc.description.abstract | Optimization of a thin-walled open section I-beam loaded in a complex way subjected to the bending and to the constrained torsion, is considered. From the general case when bending moments about both principal axes appear simultaneously with the bimoment, some particular cases can be considered depending on the loading case. The problem is reduced to the determination of minimum mass i.e. minimum cross sectional area of structural thin-walled beam elements of proposed shape, for given complex loads, material and geometrical characteristics. That is why the area of the cross section is taken as the objective function. The ratios of thickness and length of the parts of the cross section are assumed to be non constant. The stress constraint is introduced. 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. The Lagrange multiplier method is used. Solutions of analitically obtained expressions for the mathematical model, numerical solutions, as well as the saved mass, are calculated for three loading cases. | en |
dc.publisher | Univerzitet u Beogradu - Mašinski fakultet, Beograd | |
dc.rights | openAccess | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | FME Transactions | |
dc.subject | thin-walled beam | en |
dc.subject | stress constraint | en |
dc.subject | savedmass | en |
dc.subject | optimization | en |
dc.subject | optimal dimensions | en |
dc.title | Složeno opterećeni tankozidi nosač I-profila - optimizacija pri naponskom ograničenju | sr |
dc.title | Thin walled I-beam under complex loads: Optimization according to stress constraint | en |
dc.type | article | |
dc.rights.license | BY | |
dc.citation.epage | 60 | |
dc.citation.issue | 2 | |
dc.citation.other | 31(2): 55-60 | |
dc.citation.spage | 55 | |
dc.citation.volume | 31 | |
dc.identifier.fulltext | http://machinery.mas.bg.ac.rs/bitstream/id/2029/341.pdf | |
dc.identifier.rcub | https://hdl.handle.net/21.15107/rcub_machinery_344 | |
dc.type.version | publishedVersion |