Deformation Performance Analysis of a Truss Structure Based on the Deformation Decomposition Method
Trusses are among the basic components of large-span bridges and large-space structures. A method is proposed to conduct a comprehensive deformation analysis of a truss in terms of the basic rigid body displacements and the tension and compression deformation based on complete mathematical orthogona...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-02-01
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| Series: | Buildings |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2075-5309/12/3/258 |
| _version_ | 1827649735164428288 |
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| author | Dongwei Wang Mengfei Shang Panxu Sun |
| author_facet | Dongwei Wang Mengfei Shang Panxu Sun |
| author_sort | Dongwei Wang |
| collection | DOAJ |
| description | Trusses are among the basic components of large-span bridges and large-space structures. A method is proposed to conduct a comprehensive deformation analysis of a truss in terms of the basic rigid body displacements and the tension and compression deformation based on complete mathematical orthogonality and mechanical equilibrium. The correctness of the proposed method is verified by comparison with a traditional strain analysis. Furthermore, a relative deformation decomposition of the mode shape is proposed to analyse in detail its relative displacement and deformation. The correctness and superiority of the proposed method are verified by comparison with the modal mass participation coefficient method and the animation from observation method. Additionally, the relative deformation decomposition of a plane truss structure is realized under any load conditions based on the superposition of mode shapes. The quantitative analysis of the basic deformation performance of a plane truss structure can also be conducted by countable mode shapes, which do not involve load conditions. Finally, the number of mode shapes that must be considered differs when using the maximum displacement and the tension and compression deformation analysis indicators. |
| first_indexed | 2024-03-09T20:02:49Z |
| format | Article |
| id | doaj.art-59a2fd458e7747bdbffe1919cb1f6fe3 |
| institution | Directory Open Access Journal |
| issn | 2075-5309 |
| language | English |
| last_indexed | 2024-03-09T20:02:49Z |
| publishDate | 2022-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Buildings |
| spelling | doaj.art-59a2fd458e7747bdbffe1919cb1f6fe32023-11-24T00:38:33ZengMDPI AGBuildings2075-53092022-02-0112325810.3390/buildings12030258Deformation Performance Analysis of a Truss Structure Based on the Deformation Decomposition MethodDongwei Wang0Mengfei Shang1Panxu Sun2School of Civil Engineering, Zhengzhou University, Zhengzhou 450001, ChinaSchool of Civil Engineering, Zhengzhou University, Zhengzhou 450001, ChinaSchool of Civil Engineering, Zhengzhou University, Zhengzhou 450001, ChinaTrusses are among the basic components of large-span bridges and large-space structures. A method is proposed to conduct a comprehensive deformation analysis of a truss in terms of the basic rigid body displacements and the tension and compression deformation based on complete mathematical orthogonality and mechanical equilibrium. The correctness of the proposed method is verified by comparison with a traditional strain analysis. Furthermore, a relative deformation decomposition of the mode shape is proposed to analyse in detail its relative displacement and deformation. The correctness and superiority of the proposed method are verified by comparison with the modal mass participation coefficient method and the animation from observation method. Additionally, the relative deformation decomposition of a plane truss structure is realized under any load conditions based on the superposition of mode shapes. The quantitative analysis of the basic deformation performance of a plane truss structure can also be conducted by countable mode shapes, which do not involve load conditions. Finally, the number of mode shapes that must be considered differs when using the maximum displacement and the tension and compression deformation analysis indicators.https://www.mdpi.com/2075-5309/12/3/258plane truss structuredeformation decompositioncountable mode shapesquantitative analysistension and compression deformation |
| spellingShingle | Dongwei Wang Mengfei Shang Panxu Sun Deformation Performance Analysis of a Truss Structure Based on the Deformation Decomposition Method Buildings plane truss structure deformation decomposition countable mode shapes quantitative analysis tension and compression deformation |
| title | Deformation Performance Analysis of a Truss Structure Based on the Deformation Decomposition Method |
| title_full | Deformation Performance Analysis of a Truss Structure Based on the Deformation Decomposition Method |
| title_fullStr | Deformation Performance Analysis of a Truss Structure Based on the Deformation Decomposition Method |
| title_full_unstemmed | Deformation Performance Analysis of a Truss Structure Based on the Deformation Decomposition Method |
| title_short | Deformation Performance Analysis of a Truss Structure Based on the Deformation Decomposition Method |
| title_sort | deformation performance analysis of a truss structure based on the deformation decomposition method |
| topic | plane truss structure deformation decomposition countable mode shapes quantitative analysis tension and compression deformation |
| url | https://www.mdpi.com/2075-5309/12/3/258 |
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