On Finite Deformations of Spatially Curved Bisymmetric Thin-Walled Rods
Deriving the formulas for strain components, we are assuming, that cross-section of a rod being rotated in space during deformation does not need to be perpendicular to deformed centroid line. This not a quite intuitive assumption allows for more compact and easier formulas for strain tensor or equi...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Polish Academy of Sciences
2016-03-01
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| Series: | Archives of Civil Engineering |
| Subjects: | |
| Online Access: | http://www.degruyter.com/view/j/ace.2016.62.issue-1/ace-2015-0049/ace-2015-0049.xml?format=INT |
| _version_ | 1811256024397512704 |
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| author | Bijak R. Kołodziej G. |
| author_facet | Bijak R. Kołodziej G. |
| author_sort | Bijak R. |
| collection | DOAJ |
| description | Deriving the formulas for strain components, we are assuming, that cross-section of a rod being rotated in space during deformation does not need to be perpendicular to deformed centroid line. This not a quite intuitive assumption allows for more compact and easier formulas for strain tensor or equilibrium equations. Derived transformations between actual and initial coordinate system, components of strain tensor and virtual works principle for investigated spatially curved beams of bisymmetric cross-section are shown in this paper. Conformity with other models from referenced literature is also shown. |
| first_indexed | 2024-04-12T17:33:52Z |
| format | Article |
| id | doaj.art-6febc41b7d8847abba442180468995cf |
| institution | Directory Open Access Journal |
| issn | 1230-2945 |
| language | English |
| last_indexed | 2024-04-12T17:33:52Z |
| publishDate | 2016-03-01 |
| publisher | Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Civil Engineering |
| spelling | doaj.art-6febc41b7d8847abba442180468995cf2022-12-22T03:23:02ZengPolish Academy of SciencesArchives of Civil Engineering1230-29452016-03-01621253610.1515/ace-2015-0049ace-2015-0049On Finite Deformations of Spatially Curved Bisymmetric Thin-Walled RodsBijak R.0Kołodziej G.1DSc., Kielce University of Technology, Faculty of Civil Engineering and Architecture, Al. 1000-lecia PP 7, 25-314 Kielce, PolandMSc., Kyotec Group, Batalionu Platerówek 3, 03-308 Warsaw. PolandDeriving the formulas for strain components, we are assuming, that cross-section of a rod being rotated in space during deformation does not need to be perpendicular to deformed centroid line. This not a quite intuitive assumption allows for more compact and easier formulas for strain tensor or equilibrium equations. Derived transformations between actual and initial coordinate system, components of strain tensor and virtual works principle for investigated spatially curved beams of bisymmetric cross-section are shown in this paper. Conformity with other models from referenced literature is also shown.http://www.degruyter.com/view/j/ace.2016.62.issue-1/ace-2015-0049/ace-2015-0049.xml?format=INTspace-curved thin-walled rodsbisymmetric cross-sectionsfinite deformationssecond-order approximations of finite rotationsReissner modelBernoulli hypothesis |
| spellingShingle | Bijak R. Kołodziej G. On Finite Deformations of Spatially Curved Bisymmetric Thin-Walled Rods Archives of Civil Engineering space-curved thin-walled rods bisymmetric cross-sections finite deformations second-order approximations of finite rotations Reissner model Bernoulli hypothesis |
| title | On Finite Deformations of Spatially Curved Bisymmetric Thin-Walled Rods |
| title_full | On Finite Deformations of Spatially Curved Bisymmetric Thin-Walled Rods |
| title_fullStr | On Finite Deformations of Spatially Curved Bisymmetric Thin-Walled Rods |
| title_full_unstemmed | On Finite Deformations of Spatially Curved Bisymmetric Thin-Walled Rods |
| title_short | On Finite Deformations of Spatially Curved Bisymmetric Thin-Walled Rods |
| title_sort | on finite deformations of spatially curved bisymmetric thin walled rods |
| topic | space-curved thin-walled rods bisymmetric cross-sections finite deformations second-order approximations of finite rotations Reissner model Bernoulli hypothesis |
| url | http://www.degruyter.com/view/j/ace.2016.62.issue-1/ace-2015-0049/ace-2015-0049.xml?format=INT |
| work_keys_str_mv | AT bijakr onfinitedeformationsofspatiallycurvedbisymmetricthinwalledrods AT kołodziejg onfinitedeformationsofspatiallycurvedbisymmetricthinwalledrods |