magistrsko delo magistrskega študijskega programa II. stopnje Strojništvo
Miha Jevnikar (Author), Miroslav Halilovič (Mentor)

Abstract

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.

Keywords

magistrske naloge;majhne deformacije;metoda končnih elementov;nelinearna analiza;veliki pomiki;velike rotacije;

Data

Language: Slovenian
Year of publishing:
Typology: 2.09 - Master's Thesis
Organization: UL FS - Faculty of Mechanical Engineering
Publisher: [M. Jevnikar]
UDC: 531.01:519.61:517.9(043.2)
COBISS: 58912515 Link will open in a new window
Views: 350
Downloads: 104
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Other data

Secondary language: English
Secondary title: A finite element formulation based on finite strain theory
Secondary abstract: 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.
Secondary keywords: master thesis;small strain;finite element method;nonlinear analysis;large displacement;large rotation;
Type (COBISS): Master's thesis/paper
Study programme: 0
Embargo end date (OpenAIRE): 1970-01-01
Thesis comment: Univ. Ljubljana, Fak. za strojništvo
Pages: XXII, 86 str.
ID: 12708620