Digital repository of Slovenian research organisations

Show document
A+ | A- | Help | SLO | ENG

Title:Vpliv orientacije robnih pogojev na velikost uklonskih sil homogenih elastičnih stebrov
Authors:ID Kočman, Peter (Author)
Files:.pdf PDF - Presentation file, download (2,09 MB)
MD5: 5883441973A0CE7171D76278DF16BB8C
 
URL URL - Source URL, visit https://gradbenivestnik.zveza-dgits.si/prispevek/2026_02-63-71
 
Language:Slovenian
Typology:1.01 - Original Scientific Article
Organization:Logo ZDGITS - Union of associations of Slovenian civil engineers and technicians
Abstract:V članku je predstavljen analitični postopek za določitev velikosti uklonskih sil homogenih elastičnih stebrov. Novost predstavljenega postopka je v tem, da omogoča uklonsko analizo tudi za stebre, ki niso podprti v smereh glavnih vztrajnostnih osi prečnega prereza. Simo-Reissnerjev model prostorskega nosilca je uporabljen kot matematični model stebra. Tako je za določitev velikosti uklonskih sil stebrov poleg upogibnih deformacij upoštevan tudi vpliv osnih in strižnih deformacij. Postopek za določitev velikosti uklonskih sil stebrov pa je zasnovan na izsledkih Kellerja. Ta je dognal, da so kritične točke nelinearnega sistema navadnih diferencialnih enačb identične kritičnim točkam pripadajočega lineariziranega sistema diferencialnih enačb. Ker pa predstavljajo kritične točke Simo-Reissnerjevega matematičnega modela stebra uklonske sile stebra, so s predstavljenim analitičnim postopkom velikosti uklonskih sil elastičnih stebrov točno določene. Uporabnost predstavljenega postopka je v članku predstavljena s parametrično študijo vpliva orientacije robnih pogojev na velikosti uklonskih sil elastičnih homogenih stebrov. Ugotovljeno je bilo, da orientacija robnih pogojev bistveno vpliva na velikosti uklonskih sil stebrov. So pa te vedno večje od dobro znanih Eulerjevih uklonskih sil stebrov.
Keywords:uklon stebrov, Simo-Reissnerjev model prostorskih nosilcev, elastičnost
Publication status:Published
Publication version:Version of Record
Year of publishing:2026
Number of pages:str. 63-71
Numbering:Letn. 75, št. 2
PID:20.500.12556/DiRROS-31108 New window
UDC:519.673:539.3
ISSN on article:0017-2774
COBISS.SI-ID:282375939 New window
Publication date in DiRROS:13.07.2026
Views:40
Downloads:20
Metadata:XML DC-XML DC-RDF
:
Copy citation
  
Share:Bookmark and Share


Hover the mouse pointer over a document title to show the abstract or click on the title to get all document metadata.

Record is a part of a journal

Title:Gradbeni vestnik : glasilo Zveze društev gradbenih inženirjev in tehnikov Slovenije
Shortened title:Gradb. vestn.
Publisher:Zveza društev gradbenih inženirjev in tehnikov Slovenije
ISSN:0017-2774
COBISS.SI-ID:859140 New window

Document is financed by a project

Funder:ARIS - Slovenian Research and Innovation Agency
Funding programme:Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije

Licences

License:CC BY-SA 4.0, Creative Commons Attribution-ShareAlike 4.0 International
Link:http://creativecommons.org/licenses/by-sa/4.0/
Description:This Creative Commons license is very similar to the regular Attribution license, but requires the release of all derivative works under this same license.

Secondary language

Language:English
Title:Influence of the end-supports orientation on magnitude of the buckling load of homogeneous elastic columns
Abstract:This article presents an analytical procedure for determining the magnitudes of the buckling loads of homogeneous elastic columns. The novelty of the proposed procedure lies in its ability to perform buckling analysis also for columns with supports not aligned with the principal axes of inertia of the cross-section. The Simo–Reissner spatial beam model is used as the mathematical model of the column. In addition to bending deformations, the influence of axial and shear deformations is therefore also taken into account when determining the buckling loads of the columns. The procedure for determining the buckling loads is based on Keller’s findings, which state that the critical points of a nonlinear system of ordinary differential equations are identical those of the corresponding linearized system. Since the critical points of the Simo–Reissner mathematical model correspond to the buckling loads of the column, the presented analytical procedure enables the exact determination of the buckling loads of elastic columns. The applicability of the proposed procedure is demonstrated by a parametric study of how the orientation of boundary conditions affects the magnitudes of the buckling loads of homogeneous elastic columns. It was found that the orientation of the boundary conditions significantly affects the magnitudes of the column buckling loads. However, these loads are always greater than the well-known Euler buckling loads of columns.
Keywords:buckling, Simo–Reissner beam model, elasticity


Back