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master's thesis
Optimizacija forme elastične ljuske
Zagreb: University of Zagreb, Faculty of Science, 2019. urn:nbn:hr:217:880512
Lukačić, Ana
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Lukačić, A. (2019). Optimizacija forme elastične ljuske (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:880512

Lukačić, Ana. "Optimizacija forme elastične ljuske." Master's thesis, University of Zagreb, Faculty of Science, 2019. https://urn.nsk.hr/urn:nbn:hr:217:880512

Lukačić, Ana. "Optimizacija forme elastične ljuske." Master's thesis, University of Zagreb, Faculty of Science, 2019. https://urn.nsk.hr/urn:nbn:hr:217:880512

Lukačić, A. (2019). 'Optimizacija forme elastične ljuske', Master's thesis, University of Zagreb, Faculty of Science, accessed 03 November 2024, https://urn.nsk.hr/urn:nbn:hr:217:880512

Lukačić A. Optimizacija forme elastične ljuske [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2019 [cited 2024 November 03] Available at: https://urn.nsk.hr/urn:nbn:hr:217:880512

A. Lukačić, "Optimizacija forme elastične ljuske", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2019. Available at: https://urn.nsk.hr/urn:nbn:hr:217:880512

Metadata
TitleOptimizacija forme elastične ljuske
AuthorAna Lukačić
MentorJosip Tambača (mentor)
Committee memberJosip Tambača (predsjednik povjerenstva)
Committee memberBoris Muha (član povjerenstva)
Committee memberMarko Vrdoljak (član povjerenstva)
Committee memberIvica Nakić (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2019-04-29, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovome radu promatrali smo problem optimizacije forme elastične ljuske koji je opisan u [3]. Za model ljuske uzeli smo model Naghdijeva tipa koji dopušta membranske i fleksijske efekte te smicanje, a opisan je u [1], [2]. Glavni rezultat u teorijskom dijelu rada je što smo pokazali da naš problem minimizacije ima rješenje. Pronalazak minimalne vrijednosti dane funkcije cilja oslanja se na svojstva neprekidne i diferencijabilne ovisnosti rješenja Naghdijeva modela ljuske o promjeni geometrije. U numeričkom dijelu rada implementirane numeričke metode testirali smo na primjerima i pokazali numeričke aproksimacije rješenja u kojima dane funkcije cilja postižu minimum. Primjeri se temelje na različitim geometrijama ljuske i silama koje djeluju na njih.
Abstract (english)
In this thesis we deal with shape optimization problem of elastic shell model described in [3]. For elastic shell model we used a Naghdi’s type shell model that captures membrane, bending effects and shear deformation and it is described in [1], [2]. The main result in theoretical part of paper is showing that our minimization problem has solution. Finding the minimum value of given object function relies on the continuity and differentiability properties of the solution of elastic shell model of Naghdi’s type with respect to geometry. In numerical part of the thesis we tested implemented numerical methods on examples and showed numerical aproximation of solutions in which given object function has minimum value. Examples are based on different geometry of shell and forces acting on them.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:880512
Study programmeTitle: Applied Mathematics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2019-08-29 11:19:27