Modal analysis of damaged structures by the modified finite element method
The classical 3D beam element has been modified and developed as a new finite element for vibration analysis of frame structures with flexible connections and cracked members. The mass and stiffness matrices of the modified elements are established basing on a new form of shape functions, which are...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Publishing House for Science and Technology
1998-03-01
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| Series: | Vietnam Journal of Mechanics |
| Online Access: | https://vjs.ac.vn/index.php/vjmech/article/view/10010 |
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| _version_ | 1850044009430384640 |
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| author | Nguyen Cao Menh Nguyen Tien Khiem Dao Nhu Mai Nguyen Viet Khoa |
| author_facet | Nguyen Cao Menh Nguyen Tien Khiem Dao Nhu Mai Nguyen Viet Khoa |
| author_sort | Nguyen Cao Menh |
| collection | DOAJ |
| description |
The classical 3D beam element has been modified and developed as a new finite element for vibration analysis of frame structures with flexible connections and cracked members. The mass and stiffness matrices of the modified elements are established basing on a new form of shape functions, which are obtained in investigating a beam with flexible supports and crack modeled through equivalent springs. These shape functions remain the cubic polynomial form and contain flexible connection (or crack) parameters. They do not change standard procedure of the finite element method (FEM). Therefore, the presented method is easy for engineers in application and allows to analyze Eigen-parameters of structures as functions of the connection (or crack) parameters. The proposed approach has been applied to calculate natural frequencies and mode shape of typical frame structures in presented examples.
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| format | Article |
| id | doaj-art-609ac14d8ba64cbf8ba23e5adff871f9 |
| institution | DOAJ |
| issn | 0866-7136 2815-5882 |
| language | English |
| publishDate | 1998-03-01 |
| publisher | Publishing House for Science and Technology |
| record_format | Article |
| series | Vietnam Journal of Mechanics |
| spelling | doaj-art-609ac14d8ba64cbf8ba23e5adff871f92025-08-20T02:55:05ZengPublishing House for Science and TechnologyVietnam Journal of Mechanics0866-71362815-58821998-03-0120110.15625/0866-7136/10010Modal analysis of damaged structures by the modified finite element methodNguyen Cao MenhNguyen Tien KhiemDao Nhu MaiNguyen Viet Khoa The classical 3D beam element has been modified and developed as a new finite element for vibration analysis of frame structures with flexible connections and cracked members. The mass and stiffness matrices of the modified elements are established basing on a new form of shape functions, which are obtained in investigating a beam with flexible supports and crack modeled through equivalent springs. These shape functions remain the cubic polynomial form and contain flexible connection (or crack) parameters. They do not change standard procedure of the finite element method (FEM). Therefore, the presented method is easy for engineers in application and allows to analyze Eigen-parameters of structures as functions of the connection (or crack) parameters. The proposed approach has been applied to calculate natural frequencies and mode shape of typical frame structures in presented examples. https://vjs.ac.vn/index.php/vjmech/article/view/10010 |
| spellingShingle | Nguyen Cao Menh Nguyen Tien Khiem Dao Nhu Mai Nguyen Viet Khoa Modal analysis of damaged structures by the modified finite element method Vietnam Journal of Mechanics |
| title | Modal analysis of damaged structures by the modified finite element method |
| title_full | Modal analysis of damaged structures by the modified finite element method |
| title_fullStr | Modal analysis of damaged structures by the modified finite element method |
| title_full_unstemmed | Modal analysis of damaged structures by the modified finite element method |
| title_short | Modal analysis of damaged structures by the modified finite element method |
| title_sort | modal analysis of damaged structures by the modified finite element method |
| url | https://vjs.ac.vn/index.php/vjmech/article/view/10010 |
| work_keys_str_mv | AT nguyencaomenh modalanalysisofdamagedstructuresbythemodifiedfiniteelementmethod AT nguyentienkhiem modalanalysisofdamagedstructuresbythemodifiedfiniteelementmethod AT daonhumai modalanalysisofdamagedstructuresbythemodifiedfiniteelementmethod AT nguyenvietkhoa modalanalysisofdamagedstructuresbythemodifiedfiniteelementmethod |