20.500.12556/RUL-125645 Formulacija končnih elementov na osnovi teorije velikih pomikov A finite element formulation based on finite strain theory V magistrskem delu smo predstavili različne metode za obravnavo nelinearnih problemov v mehaniki. Na podlagi celotne Lagrangeove formulacije smo izpeljali nelinearni 1D končni element za obravnavo paličnih struktur in nelinearni 3D končni element, ki smo ga uporabili za analizo rotacije kocke in upogiba nosilca. Iz rezultatov numeričnih analiz smo ugotovili, da je uporaba 3D nelinearnih končnih elementov nujna v primeru velikih pomikov in velikih rotacij strukture. Ugotovili smo še, da je uporaba inkrementalnega reševanja nujno potrebna v nelinearnih primerih. In the master's thesis, we presented varous methods for solving nonlinear problems in mechanics. Based on the Total Lagrangian formulation, we derived a nonlinear 1D finite element for solving truss structures and a nonlinear 3D finite element that was used to analyse the rotation of the cube and bending of the beam. From the results of numerical analysis, we found that it is necessary to use 3D nonlinear finite elements in the case of large displacements and large rotations. We also found that the use of incremental formulation is essential in nonlinear cases. majhne deformacije metoda končnih elementov nelinearna analiza veliki pomiki velike rotacije small strain finite element method nonlinear analysis large displacement large rotation true false false [M. Jevnikar] Slovenski jezik Angleški jezik Magistrsko delo/naloga 2021-03-30 08:30:31 2021-03-30 08:30:35 2022-09-05 03:51:49 0000-00-00 00:00:00 2021 0 Ljubljana 0 XXII, 86 str. 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 531.01:519.61:517.9(043.2) 228356 58912515 6867.pdf 6867.pdf 1 5B9009998D29C4D540FA143E3EC7CA7D 5c9aadd986d772cc3ede84e012be311014b60dd4d4f05be35b36c3b57680cd11 c1d98d8c-a1bb-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=141464 Fakulteta za strojništvo 0 0 0