| Title: | On the application of a mixed finite-element approach to beam-soil interaction |
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| 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) |
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| Files: |  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
 http://fgserver3.fg.um.si/journal-ags/2013-2/article-2.asp
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| Language: | English |
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| Work type: | Scientific work |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | FGPA - Faculty of Civil Engineering, Transportation Engineering and Architecture
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| 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. |
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| Keywords: | Bernoulli beam, Winkler soil, mixed finite-element method |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Year of publishing: | 2013 |
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| Number of pages: | str. 15-27 |
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| Numbering: | Letn. 10, št. 2 |
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| PID: | 20.500.12556/DKUM-70804  |
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| ISSN: | 1854-0171 |
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| UDC: | 624.131.53 |
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| ISSN on article: | 1854-0171 |
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| COBISS.SI-ID: | 277754112 |
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| NUK URN: | URN:SI:UM:DK:I8UTYTWZ |
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| Copyright: | Fakulteta za gradbeništvo, prometno inženirstvo in arhitekturo Univerze v Mariboru |
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| Publication date in DKUM: | 14.06.2018 |
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| Views: | 1592 |
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| Downloads: | 76 |
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| Metadata: |    |
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| Categories: | Misc.
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