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undergraduate thesis
Ravnoteža žice
Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2024. urn:nbn:hr:126:733268
Balentović, Anja
Josip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics

Institutional repository: Repository of School of Applied Mathematics and Informatics

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Balentović, A. (2024). Ravnoteža žice (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:733268

Balentović, Anja. "Ravnoteža žice." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2024. https://urn.nsk.hr/urn:nbn:hr:126:733268

Balentović, Anja. "Ravnoteža žice." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2024. https://urn.nsk.hr/urn:nbn:hr:126:733268

Balentović, A. (2024). 'Ravnoteža žice', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, accessed 01 November 2024, https://urn.nsk.hr/urn:nbn:hr:126:733268

Balentović A. Ravnoteža žice [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics; 2024 [cited 2024 November 01] Available at: https://urn.nsk.hr/urn:nbn:hr:126:733268

A. Balentović, "Ravnoteža žice", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, Osijek, 2024. Available at: https://urn.nsk.hr/urn:nbn:hr:126:733268

Metadata
TitleRavnoteža žice
Title (english)Equilibrium of the Wire
AuthorAnja Balentović
MentorJelena Jankov Pavlović (mentor)
MentorKrešimir Burazin (komentor)
GranterJosip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics
Osijek
Defense date and country2024-09-19, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Applied Mathematics and Mathematical Modeling
Abstract
U ovom završnom radu analizirana je ravnoteža žice. Za napetu elastičnu žicu prikazan je izvod jednadžbe ravnoteže, koja je linearna diferencijalna jednadžba drugog reda. Analizirani su različiti rubni uvjeti kao što su Dirichletov, Neumannov i Robinov, koji definiraju progib i napetost žice u rubovima. Iskazan je princip superpozicije koji je bitan za postupak homogenizacije rubnih uvjeta i općenito kod određivanja ravnotežnog položaja. Dokazana je jedinstvenost rješenja za specifične slučajeve, te je na kraju samog rada obrađeno koncentrirano djelovanje i korištenje Greenove funkcije za rješavanje rubne zadaće.
Abstract (english)
This thesis analyzes the equilibrium of the wire. For a stretched elastic wire, the derivation of the equilibrium equation, which is a second-order linear differential equation, is presented. Various boundary conditions, such as Dirichlet, Neumann, and Robin, which define the deflection and tension of the wire at its ends, are analyzed. The principle of superposition, important for the homogenization of boundary conditions and the general determination of the equilibrium position, is discussed. The uniqueness of the solution in specific cases is proven, and finally, concentrated forces and the use of Green’s function to solve the boundary value problem are addressed.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:733268
Study programmeTitle: Bachelor of Mathematics and Computer Science
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike i računarstva (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike i računarstva)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2024-09-26 11:09:29