Vibration Analysis of Structures with Rotation and Reflection Symmetry
The article applies group representation theory to the vibration analysis of structures with Cnv symmetry, and presents a new structural vibration analysis method. The eigenvalue problem of the whole structure is divided into much smaller subproblems by forming the mass and stiffness matrices of one...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1996-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.3233/SAV-1996-3409 |
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| _version_ | 1832558678710943744 |
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| author | Baojian Li Xiaozhong Zheng Jie Zhao |
| author_facet | Baojian Li Xiaozhong Zheng Jie Zhao |
| author_sort | Baojian Li |
| collection | DOAJ |
| description | The article applies group representation theory to the vibration analysis of structures with Cnv symmetry, and presents a new structural vibration analysis method. The eigenvalue problem of the whole structure is divided into much smaller subproblems by forming the mass and stiffness matrices of one substructure and than modifying them to form mass and stiffness matrices in each irreducible subspace, resulting in the saving of computer time and memory. The modal characteristics of structures with Cnv symmetry are derived from theoretical analysis. Computation and modal testing are used to verify the validity of the theoretical deductions. |
| format | Article |
| id | doaj-art-ad6f170718284e64b6a8187caef11110 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 1996-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-ad6f170718284e64b6a8187caef111102025-02-03T01:31:49ZengWileyShock and Vibration1070-96221875-92031996-01-013430331110.3233/SAV-1996-3409Vibration Analysis of Structures with Rotation and Reflection SymmetryBaojian Li0Xiaozhong Zheng1Jie Zhao2Department of Material Engineering, Shandong University of Technology, Jinan, Shandong, ChinaDepartment of Material Engineering, Shandong University of Technology, Jinan, Shandong, ChinaDepartment of Material Engineering, Shandong University of Technology, Jinan, Shandong, ChinaThe article applies group representation theory to the vibration analysis of structures with Cnv symmetry, and presents a new structural vibration analysis method. The eigenvalue problem of the whole structure is divided into much smaller subproblems by forming the mass and stiffness matrices of one substructure and than modifying them to form mass and stiffness matrices in each irreducible subspace, resulting in the saving of computer time and memory. The modal characteristics of structures with Cnv symmetry are derived from theoretical analysis. Computation and modal testing are used to verify the validity of the theoretical deductions.http://dx.doi.org/10.3233/SAV-1996-3409 |
| spellingShingle | Baojian Li Xiaozhong Zheng Jie Zhao Vibration Analysis of Structures with Rotation and Reflection Symmetry Shock and Vibration |
| title | Vibration Analysis of Structures with Rotation and Reflection Symmetry |
| title_full | Vibration Analysis of Structures with Rotation and Reflection Symmetry |
| title_fullStr | Vibration Analysis of Structures with Rotation and Reflection Symmetry |
| title_full_unstemmed | Vibration Analysis of Structures with Rotation and Reflection Symmetry |
| title_short | Vibration Analysis of Structures with Rotation and Reflection Symmetry |
| title_sort | vibration analysis of structures with rotation and reflection symmetry |
| url | http://dx.doi.org/10.3233/SAV-1996-3409 |
| work_keys_str_mv | AT baojianli vibrationanalysisofstructureswithrotationandreflectionsymmetry AT xiaozhongzheng vibrationanalysisofstructureswithrotationandreflectionsymmetry AT jiezhao vibrationanalysisofstructureswithrotationandreflectionsymmetry |