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Title:On the application of a mixed finite-element approach to beam-soil interaction
Authors:ID Jagodnik, Vedran (Author)
ID Jelenić, Gordan (Author)
ID Arbanas, Željko (Author)
ID Fakulteta za gradbeništvo, prometno inženirstvo in arhitekturo Univerze v Mariboru (Copyright holder)
Files:.pdf Acta_geotechnica_Slovenica_2013_Jagodnik,_Jelenic,_Arbanas_On_the_application_of_a_mixed_finite-element_approach_to_beam-soil_interactio.pdf (413,70 KB)
MD5: 4A700C5A654C5D525BD193F9F211327E
PID: 20.500.12556/dkum/242f3ac9-7dde-4249-a2a5-0266eada778a
 
URL http://fgserver3.fg.um.si/journal-ags/2013-2/article-2.asp
 
Language:English
Work type:Scientific work
Typology:1.01 - Original Scientific Article
Organization:FGPA - Faculty of Civil Engineering, Transportation Engineering and Architecture
Abstract:In this paper the deformation of a Bernoulli beam resting on Winkler's soil is reviewed in terms of the mixed finite-element methodology. While the stiffness matrix of the Bernoulli beam problem utilizing the standard displacement-based approach, in which only the displacement field is interpolated, may be alternatively obtained using a mixed-type approach to the absolutely shear-stiff second-order Timoshenko beam (in which the rotation and shear-stress resultant fields are additionally interpolated), the two approaches lead to different Winkler-type soil-stiffness contributions. Furthermore, extending the mixed-type formalism to both of these elements by additionally interpolating the distributed soil-reaction field, the soil-stiffness contributions also differ. In this way four different elements are obtained, with one, two, three or four independently interpolated fields, in which the beam-stifness matrix is equal, but the soil-stiffness matrices are different. It is demonstrated that the displacement-based one-field element is the least convergent, while the mixed-type element with four interpolated fields is the most convergent.
Keywords:Bernoulli beam, Winkler soil, mixed finite-element method
Publication status:Published
Publication version:Version of Record
Year of publishing:2013
Number of pages:str. 15-27
Numbering:Letn. 10, št. 2
PID:20.500.12556/DKUM-70804 New window
ISSN:1854-0171
UDC:624.131.53
ISSN on article:1854-0171
COBISS.SI-ID:277754112 New window
NUK URN:URN:SI:UM:DK:I8UTYTWZ
Copyright:Fakulteta za gradbeništvo, prometno inženirstvo in arhitekturo Univerze v Mariboru
Publication date in DKUM:14.06.2018
Views:1592
Downloads:77
Metadata:XML DC-XML DC-RDF
Categories:Misc.
:
JAGODNIK, Vedran, JELENIĆ, Gordan and ARBANAS, Željko, 2013, On the application of a mixed finite-element approach to beam-soil interaction. Acta geotechnica Slovenica [online]. 2013. Vol. 10, no. 2, p. 15–27. [Accessed 1 April 2025]. Retrieved from: https://dk.um.si/IzpisGradiva.php?lang=eng&id=70804
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Record is a part of a journal

Title:Acta geotechnica Slovenica
Shortened title:Acta geotech. Slov.
Publisher:Fakulteta za gradbeništvo, prometno inženirstvo in arhitekturo Univerze v Mariboru
ISSN:1854-0171
COBISS.SI-ID:215987712 New window

Secondary language

Language:Slovenian
Title:Uporabne mešane metode končnih elementov pri interakciji nosilec-tla
Abstract:Članek daje pregled deformacij Bernoullijevega nosilca na Winklerjevi zemljini z uporabo mešane metode končnih elementov. Togostno matriko Bernoullijevega nosilca lahko dobimo z uporabo standardnega pristopa, ki temelji na pomikih in pri katerem je interpolirano zgolj polje pomikov, pa tudi z mešanim pristopom, ki se uporablja pri Timoshenkovem nosilcu drugega reda s popolno strižno togostjo (pri katerem sta dodatno interpolirana rotacijsko polje in iz tega izhajajoče polje strižnih napetosti), vendar pa oba pristopa privedeta do različnih rezultatov togosti zemljine Winklerjevega tipa. Poleg tega se togost zemljine razlikuje tudi v primeru, ko mešano metodo razširimo na oba elementa z dodatnim interpoliranjem porazdeljenega polja reakcije zemljine. Na ta način dobimo štiri različne elemente z enim, dvema, tremi ali štirimi neodvisno interpoliranimi polji, v katerih je togostna matrika nosilca enaka, togostne matrike zemljine pa so različne. Članek pokaže, da je najmanj konvergenten element z enim poljem, ki temelji na pomikih, medtem ko je element mešanega tipa s štirimi interpoliranimi polji najbolj konvergenten.
Keywords:geomehanika, Bernoullijev nosilec, Winklerjeva zemljina, metoda končnih elementov, mešana metoda končnih elementov


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  1. Acta geotechnica Slovenica

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