National Repository of Dissertations in Serbia
    • English
    • Српски
    • Српски (Serbia)
  • English 
    • English
    • Serbian (Cyrilic)
    • Serbian (Latin)
  • Login
View Item 
  •   NaRDuS home
  • Универзитет у Новом Саду
  • Факултет техничких наука
  • View Item
  •   NaRDuS home
  • Универзитет у Новом Саду
  • Факултет техничких наука
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

O poslekritičnom ponašanju štapa na elastičnoj podlozi

On post-critical behavior of a beam on an elastic foundation

Thumbnail
2019
Disertacija.pdf (1.433Mb)
IzvestajKomisije.pdf (355.9Kb)
Author
Rehlicki-Lukešević, Lidija
Mentor
Novaković, Branislava
Janev, Marko
Committee members
Atanacković, Teodor
Šumarac, Dragoslav
Spasić, Dragan
Novaković, Branislava
Janev, Marko
Metadata
Show full item record
Abstract
U ovom radu, analizirana je nelinearna jednačina deformacije štapa koja odgovara dvoparametarskom bifurkacionom problemu koji proizilazi iz analize stabilnosti proste grede na elastičnoj podlozi Vinklerovog tipa uz tako pretpostavljene parametre sistema da imamo dva različita moda izvijanja za istu vrednost kritične sile. Koristeći LJapunov-Šmitovu redukciju, izvršena je bifurkaciona analiza nelinearnog problema, kojom je dobijen broj netrivijalnih rešenja. Takođe, izvršena je bifurkaciona analiza pomoću energijskog metoda i određena je energija za svako bifurkaciono rešenje. Rešenje sa najmanjom energijom je ono koje bi se javilo u poslekritičnom stanju. Za specifičan izbor parametara, bifurkaciono rešenje u formi drugog moda ima najmanju totalnu energiju. Na kraju su dati i numerički rezultati koji ilustruju data rešenja.
Subject of analisys in this paper is the nonlinear equilibrium equation corresponding to the two-parameter bifurcation problem arising in the stability analysis of an elastic simply supported beam on the Winkler type elastic foundation for the case when bimodal buckling occurs. We perform the bifurcation analysis of the nonlinear problem by using Lyapunov–Schmidt reduction, thus obtaining the number of the nontrivial solutions to the nonlinear problem and qualitatively characterizing the solution patterns. We also give the formulation of the problem and bifurcation analysis from the total energy viewpoint and determine the energy of each bifurcating solution. We assert that the solution with the smallest energy is the one that will be observed in the post-critical state. For specific choice of parameters, the bifurcating solution in the form of the second buckling mode has the smallest total energy. The numerical results illustrating the theory are also provided.
Faculty:
Универзитет у Новом Саду, Факултет техничких наука
Date:
30-09-2019
Keywords:
Prosta greda / Simply supported beam / Vinklerova podloga / Stabilnost / Dvoparametarski bifurkacioni problem / Postupak redukcije LJapunov-Šmita / Winkler foundation / Stability / Two-parametar bifurcation problem / Lyapunov-Schmidt reduction
[ Google Scholar ]
Handle
https://hdl.handle.net/21.15107/rcub_nardus_11956
URI
https://www.cris.uns.ac.rs/DownloadFileServlet/Disertacija156233015233210.pdf?controlNumber=(BISIS)110850&fileName=156233015233210.pdf&id=13086&source=NaRDuS&language=sr
https://nardus.mpn.gov.rs/handle/123456789/11956
https://www.cris.uns.ac.rs/record.jsf?recordId=110850&source=NaRDuS&language=sr
https://www.cris.uns.ac.rs/DownloadFileServlet/IzvestajKomisije156233016068512.pdf?controlNumber=(BISIS)110850&fileName=156233016068512.pdf&id=13087&source=NaRDuS&language=sr

DSpace software copyright © 2002-2015  DuraSpace
About NaRDus | Contact us

OpenAIRERCUBRODOSTEMPUS
 

 

Browse

All of DSpaceUniversities & FacultiesAuthorsMentorCommittee membersSubjectsThis CollectionAuthorsMentorCommittee membersSubjects

DSpace software copyright © 2002-2015  DuraSpace
About NaRDus | Contact us

OpenAIRERCUBRODOSTEMPUS