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Analiza 3D konstrukcij z metodo končnih elementov
ID
Senčič, Jan
(
Author
),
ID
Čepon, Gregor
(
Mentor
)
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,
ID
Boltežar, Miha
(
Comentor
)
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Abstract
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
Views:
3644
Downloads:
415
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SENČIČ, Jan, 2019,
Analiza 3D konstrukcij z metodo končnih elementov
[online]. Bachelor’s thesis. Ljubljana : J. Senčič. [Accessed 14 July 2025]. Retrieved from: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=eng&id=110513
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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
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