Analiza 3D konstrukcij z metodo končnih elementov

Senčič, Jan (author), Čepon, Gregor (mentor), Boltežar, Miha (co-mentor)

V nalogi je prikazana analiza prostorskih konstrukcij po metodi končnih elementov. Uporabljeni so eno dimenzionalni končni elementi, ki so izpeljani na osnovi Euler – Bernoullijeve teorije. Prikazan je postopek določitve togostne in masne matrike konstrukcije. Predstavljeni so različni možni robni pogoji in pogoji konsistentnega prehoda. Izračunane so notranje sile in momenti ter lastne frekvence konstrukcije. Pravilnost izračunov je izvedena preko primerjave rezultatov dobljenih na osnovi komercialnega programskega paketa Ansys.

• Language: Slovenian
• Keywords: metoda končnih elementov, palice, nosilci, torzija, togostne matrike, masne matrike, lastne frekvence
• Work type: Final paper
• Typology: 2.11 - Undergraduate Thesis
• Organization: FS - Faculty of Mechanical Engineering
• Place of publishing: Ljubljana
• Publisher: [J. Senčič]
• Year: 2019
• Number of pages: XIV, 25 f.
• PID: 20.500.12556/RUL-110513
• UDC: 519.61:624.074(043.2)
• COBISS.SI-ID: 16950043
• Publication date in RUL: 15.09.2019

Secondary language

• Language: English
• Title: Analysis of 3D structures using finite element method

Abstract

The diploma presents the analysis of spatial constructions by the finite elements method. One dimensional finite elements are used, which are derived from Euler - Bernoulli theory. The procedure for determining the stiffness and mass matrix of the structure is shown. Different possible boundary conditions and consistent transition conditions are presented. The internal forces, moments and natural frequencies of the structure are calculated. The verification of the calculations is performed by comparing the results obtained on the basis of the commercial Ansys software package.

• Keywords: finite element method, trusses, beams, torsion, stiffness matrices, mass matrices, natural frequencies