Novel static calculation approach for reciprocal structures assembled by Archimedes paving curved rods
In order to more efficiently solve the internal forces and deformations of the curved rod reciprocal structures transformed from the Archimedes paving, the reference point is defined on the curved rod element in this paper. On the basic of the static equilibrium relationship between the forces at th...
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| Format: | Article |
| Language: | zho |
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EDP Sciences
2024-12-01
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| Series: | Xibei Gongye Daxue Xuebao |
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| Online Access: | https://www.jnwpu.org/articles/jnwpu/full_html/2024/06/jnwpu2024426p1119/jnwpu2024426p1119.html |
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| author | XIA Yongqiang XU Yimin NI Keyi XIAO Nan FAN Lei SONG Fangyuan JIN Hui |
| author_facet | XIA Yongqiang XU Yimin NI Keyi XIAO Nan FAN Lei SONG Fangyuan JIN Hui |
| author_sort | XIA Yongqiang |
| collection | DOAJ |
| description | In order to more efficiently solve the internal forces and deformations of the curved rod reciprocal structures transformed from the Archimedes paving, the reference point is defined on the curved rod element in this paper. On the basic of the static equilibrium relationship between the forces at the reciprocal articulated joints and the generalized nodal loads at the reference point, the static equilibrium equation of the curved rod reciprocal structure is established. By solving the equilibrium equation, the nodal forces of the curved rod reciprocal structure can be obtained. Furthermore, the internal forces and deformations of the reciprocal curved rod in the cylindrical coordinate system are derived by coordinate transformations. Finally, a quadrilateral curved rod reciprocal frame and a curved rod reciprocal structure transformed from the 63 type of Archimedes paving are studied respectively by proposed method and finite element method with ANSYS software. Results shows that the error rate of the nodal forces and nodal displacements between the numerical simulation and the theoretical calculation is less than 5%. The proposed method is not only reliable in static forces calculation, but also simplicity and efficiency in solution process. |
| format | Article |
| id | doaj-art-b2ab0a737dbb492ab43ef76e45f1e39e |
| institution | Kabale University |
| issn | 1000-2758 2609-7125 |
| language | zho |
| publishDate | 2024-12-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | Xibei Gongye Daxue Xuebao |
| spelling | doaj-art-b2ab0a737dbb492ab43ef76e45f1e39e2025-02-07T08:23:13ZzhoEDP SciencesXibei Gongye Daxue Xuebao1000-27582609-71252024-12-014261119112510.1051/jnwpu/20244261119jnwpu2024426p1119Novel static calculation approach for reciprocal structures assembled by Archimedes paving curved rodsXIA Yongqiang0XU Yimin1NI Keyi2XIAO Nan3FAN Lei4SONG Fangyuan5JIN Hui6School of Civil Engineering and Architecture, Zhejiang University of Science and TechnologySchool of Management, Zhejiang University of TechnologyFaculty of Social Science and Law, University of BristolCollege of Civil Engineering and Architecture, Zhejiang UniversitySchool of Civil Engineering and Architecture, Zhejiang University of Science and TechnologySchool of Civil Engineering and Architecture, Zhejiang University of Science and TechnologySchool of Civil Engineering and Architecture, Zhejiang University of Science and TechnologyIn order to more efficiently solve the internal forces and deformations of the curved rod reciprocal structures transformed from the Archimedes paving, the reference point is defined on the curved rod element in this paper. On the basic of the static equilibrium relationship between the forces at the reciprocal articulated joints and the generalized nodal loads at the reference point, the static equilibrium equation of the curved rod reciprocal structure is established. By solving the equilibrium equation, the nodal forces of the curved rod reciprocal structure can be obtained. Furthermore, the internal forces and deformations of the reciprocal curved rod in the cylindrical coordinate system are derived by coordinate transformations. Finally, a quadrilateral curved rod reciprocal frame and a curved rod reciprocal structure transformed from the 63 type of Archimedes paving are studied respectively by proposed method and finite element method with ANSYS software. Results shows that the error rate of the nodal forces and nodal displacements between the numerical simulation and the theoretical calculation is less than 5%. The proposed method is not only reliable in static forces calculation, but also simplicity and efficiency in solution process.https://www.jnwpu.org/articles/jnwpu/full_html/2024/06/jnwpu2024426p1119/jnwpu2024426p1119.htmlcurved rod reciprocal structurearchimedes pavingstatic calculationcylindrical coordinate systemfinite element analysis(fea) |
| spellingShingle | XIA Yongqiang XU Yimin NI Keyi XIAO Nan FAN Lei SONG Fangyuan JIN Hui Novel static calculation approach for reciprocal structures assembled by Archimedes paving curved rods Xibei Gongye Daxue Xuebao curved rod reciprocal structure archimedes paving static calculation cylindrical coordinate system finite element analysis(fea) |
| title | Novel static calculation approach for reciprocal structures assembled by Archimedes paving curved rods |
| title_full | Novel static calculation approach for reciprocal structures assembled by Archimedes paving curved rods |
| title_fullStr | Novel static calculation approach for reciprocal structures assembled by Archimedes paving curved rods |
| title_full_unstemmed | Novel static calculation approach for reciprocal structures assembled by Archimedes paving curved rods |
| title_short | Novel static calculation approach for reciprocal structures assembled by Archimedes paving curved rods |
| title_sort | novel static calculation approach for reciprocal structures assembled by archimedes paving curved rods |
| topic | curved rod reciprocal structure archimedes paving static calculation cylindrical coordinate system finite element analysis(fea) |
| url | https://www.jnwpu.org/articles/jnwpu/full_html/2024/06/jnwpu2024426p1119/jnwpu2024426p1119.html |
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