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master's thesis
Deformacije objekta metodom konačnih elemenata
Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing, 2019. urn:nbn:hr:168:070142
Sito, Josip
University of Zagreb
Faculty of Electrical Engineering and Computing

Institutional repository: FER Repository

Cite this document

Sito, J. (2019). Deformacije objekta metodom konačnih elemenata (Master's thesis). Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing. Retrieved from https://urn.nsk.hr/urn:nbn:hr:168:070142

Sito, Josip. "Deformacije objekta metodom konačnih elemenata." Master's thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, 2019. https://urn.nsk.hr/urn:nbn:hr:168:070142

Sito, Josip. "Deformacije objekta metodom konačnih elemenata." Master's thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, 2019. https://urn.nsk.hr/urn:nbn:hr:168:070142

Sito, J. (2019). 'Deformacije objekta metodom konačnih elemenata', Master's thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, accessed 03 November 2024, https://urn.nsk.hr/urn:nbn:hr:168:070142

Sito J. Deformacije objekta metodom konačnih elemenata [Master's thesis]. Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing; 2019 [cited 2024 November 03] Available at: https://urn.nsk.hr/urn:nbn:hr:168:070142

J. Sito, "Deformacije objekta metodom konačnih elemenata", Master's thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, Zagreb, 2019. Available at: https://urn.nsk.hr/urn:nbn:hr:168:070142

Metadata
TitleDeformacije objekta metodom konačnih elemenata
Title (english)Object deformation based on the finite element method
AuthorJosip Sito
MentorŽeljka Mihajlović (mentor)
Committee memberŽeljka Mihajlović (predsjednik povjerenstva)
Committee memberVlado Glavinić (član povjerenstva)
Committee memberDejan Škvorc (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Electrical Engineering and Computing
Zagreb
Defense date and country2019-09-13, Croatia
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Computing
Abstract
U ovom radu izložene su metode za deformiranjem objekata, a posebice su proučene metode koje se temelje na konačnim elementima. Proučene su metode koje se koriste za diskretizaciju objekta na konačne elemente pri čemu je istaknuta Delaunayeva triangulacija i Varijacijska triangulacija. Objašnjen je fizički model deformabilnog objekta, a od metoda za izračun deformacija opisan je sustav masa i opruga i metoda konačnih elemenata. Proučene su različite metode vremenske integracije. Implementirana je 2D simulacija deformacije u stvarnom vremenu u Unity grafičkom alatu i C\# programskom jeziku. U aplikaciji je deformacija ostvarena pomoću metoda konačnih elemenata koji su generirani preko Delaunayeve triangulacije i Varijacijske metode, a za vremensku integraciju je korišten semi-implicitni Euler. Također, implementirana je jednostavna detekcija kolizije. Prikazani su rezultati simulacije za određene vrijednosti parametara te je objašnjeno na koji način neki parametri utječu na stabilnost.
Abstract (english)
This paper present methods for object deformation, especially methods based on finite elements. Methods used to discretize the object to finite elements were studied, highlighting Delaunay's triangulation and Variation triangulation. The physical model for a deformable object is explained, and from the methods for calculating the deformation, the mass and spring system and the finite element method is presented. Different methods for time integration have been studied. A 2D real-time deformation simulation was implemented in Unity and C\# programming language. In the application, deformation was accomplished by the finite element method that was generated through Delaunay triangulation and variational method. Semi-implicit Euler was used for time integration. Also, a simple collision detection has been implemented. The simulation results for certain parameters values are shown and it is explained how some parameters affect stability.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:168:070142
Study programmeTitle: Computing
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra inženjer/inženjerka računarstva (magistar/magistra inženjer/inženjerka računarstva)
Type of resourceText
File originBorn digital
Access conditionsClosed access
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Created on2020-01-07 22:01:58