prikaz prve stranice dokumenta Configuration-dependent interpolation in non-linear higher-order 2D beam finite elements
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doctoral thesis
Configuration-dependent interpolation in non-linear higher-order 2D beam finite elements
doctoral thesis
2013. urn:nbn:hr:188:301501
Papa Dukić, Edita
University of Rijeka
Faculty of Civil Engineering

Cite this document

Papa Dukić, E. (2013). Configuration-dependent interpolation in non-linear higher-order 2D beam finite elements : doctoral thesis (Doctoral thesis). Rijeka: University of Rijeka, Faculty of Civil Engineering. Retrieved from https://urn.nsk.hr/urn:nbn:hr:188:301501

Papa Dukić, Edita. "Configuration-dependent interpolation in non-linear higher-order 2D beam finite elements : doctoral thesis." Doctoral thesis, University of Rijeka, Faculty of Civil Engineering, 2013. https://urn.nsk.hr/urn:nbn:hr:188:301501

Papa Dukić, Edita. "Configuration-dependent interpolation in non-linear higher-order 2D beam finite elements : doctoral thesis." Doctoral thesis, University of Rijeka, Faculty of Civil Engineering, 2013. https://urn.nsk.hr/urn:nbn:hr:188:301501

Papa Dukić, E. (2013). 'Configuration-dependent interpolation in non-linear higher-order 2D beam finite elements : doctoral thesis', Doctoral thesis, University of Rijeka, Faculty of Civil Engineering, accessed 07 May 2024, https://urn.nsk.hr/urn:nbn:hr:188:301501

Papa Dukić E. Configuration-dependent interpolation in non-linear higher-order 2D beam finite elements : doctoral thesis [Doctoral thesis]. Rijeka: University of Rijeka, Faculty of Civil Engineering; 2013 [cited 2024 May 07] Available at: https://urn.nsk.hr/urn:nbn:hr:188:301501

E. Papa Dukić, "Configuration-dependent interpolation in non-linear higher-order 2D beam finite elements : doctoral thesis", Doctoral thesis, University of Rijeka, Faculty of Civil Engineering, Rijeka, 2013. Available at: https://urn.nsk.hr/urn:nbn:hr:188:301501

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Metadata
TitleConfiguration-dependent interpolation in non-linear higher-order 2D beam finite elements : doctoral thesis
AuthorEdita Papa Dukić
MentorGordan Jelenić (mentor)
Committee memberNenad Bićanić (predsjednik povjerenstva)
Committee memberIvica Kožar (član povjerenstva)
Committee memberDejan Zupan (član povjerenstva)
VIAF: 305606640
GranterUniversity of Rijeka
Faculty of Civil Engineering
Rijeka
Defense date and country2013-01-01, Croatia
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Civil Engineering
Universal decimal classification
(UDC)		624/625 - Civil and structural engineering. Civil engineering of land transport. Railway engineering. Highway engineering
Abstract
In this thesis two topics of the beam theory are considered. The rst of them is concerned with the linear Timoshenko beam theory and within it a new interpolation called the linked interpolation has been proposed. This interpolation is derived from the exact solutions of the Timoshenko beam dierential equations and therefore results in the nite element giving the exact solutions in linear analysis. The second topic is concerned with the non{linear geometrically exact beam theory of Reissner and Simo. Within this theory another interpolation is proposed; the non{linear conguration{ dependent interpolation. In this work a particular form of the conguration{dependent interpolation is derived which coincides with the linked interpolation in case when displacements and rotations become small, or in other words, in linear analysis. Both of these proposed interpolations are given in a general form for an arbitrary number of nodes per element. In order to conduct the numerical analysis, a new non{linear 2D beam nite{element computer code has been created. The proposed interpolation is free of shear{locking thus having the potential to be used in various problems in material non-linearity where higher{order quadrature may be needed.
Abstract (croatian)
U ovoj disertaciji obrađena su dva poglavlja gredne teorije. Jedno poglavlje se tiče linearne Timosenkove gredne teorije u okviru koje je predložena nova interpolacija koja polazi od točnih rješenja diferencijalnih jednadžbi problema te samim time rezultira konačnim elementima s točnim rješenjima u linearnoj analizi. Vezana interpolacija je u radu predstavljena na dva načina. Prva formulacija predstavlja interpolaciju ovisnu o materijalnim karakteristikama nosaca (nazvana problem-dependent interpolacija) koja slijedi iz diferencijalnih jednadžbi uz uvođenje svih rubnih uvjeta. Druga formulacija predstavlja interpolaciju neovisnu o materijalnim karakteristikama, stoga je nazvana problem-independent interpolacija. Za obje formulacije je pokazano da daju točnu matricu krutosti koja je poznata i dana u literaturi. Drugo poglavlje obuhvaća nelinearnu grednu teoriju u okviru koje je obrađena Reissnerova gredna teorija velikih pomaka i velikih rotacija te je predložena nova interpolacija koja je nazvana interpolacija ovisna o konfiguraciji. U ovome radu poseban oblik interpolacije ovisne o konfiguraciji je izveden, kojem je granični slučaj u linearnoj teoriji upravo vezana interpolacija. Predložene interpolacije su dane u generaliziranom obliku za proizvoljan broj čvorova grednog konačnog elementa. Za potrebe analiza koje su se provele u numeričkom dijelu ovog rada sastavljen je algoritam za nelinearni proračun konstrukcija sastavljenih od ravninskih konačnih grednih elemenata u programskom paketu Wolfram Mathematica te je on u potpunosti autorsko djelo doktoranta. Predložena interpolacija je otporna na shear-locking efekt te ima potencijala za korištenje u različitim problemima povezanim s materijalnom nelinearnošću gdje je potrebna integracija višeg reda.
Keywords
Keywords (croatian)
Languageenglish
URN:NBNurn:nbn:hr:188:301501
Study programmeTitle: Civil Engineering; specializations in: Hydrotechnics and geotechnics, Mechanics
Course: Hydrotechnics and geotechnics
Study programme type: university
Study level: postgraduate
Academic / professional title: doktor/doktorica znanosti, područje tehničkih znanosti (doktor/doktorica znanosti, područje tehničkih znanosti)
Catalog URLhttps://libraries.uniri.hr/cgi-bin/unilib.cgi?form=D1130402026
Type of resourceText
Extent101 str; 30 cm
File originBorn digital
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Created on2017-01-19 19:33:21