An application of the dynamic stiffness concept for vibration of three-dimensional cracked overhead crane
A simplified model is proposed for modal analysis of cracked 3D-framed overhead crane of H-form frame using the well-known dynamic stiffness method. First, the dynamic stiffness of a cracked beam is derived as the inverse of the frequency response function and used for establishing a model of the c...
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| Format: | Article |
| Language: | English |
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Publishing House for Science and Technology
2024-11-01
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| Series: | Vietnam Journal of Mechanics |
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| Online Access: | https://vjs.ac.vn/index.php/vjmech/article/view/21925 |
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| author | Dang Xuan Trong Nguyen Tien Khiem |
| author_facet | Dang Xuan Trong Nguyen Tien Khiem |
| author_sort | Dang Xuan Trong |
| collection | DOAJ |
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A simplified model is proposed for modal analysis of cracked 3D-framed overhead crane of H-form frame using the well-known dynamic stiffness method. First, the dynamic stiffness of a cracked beam is derived as the inverse of the frequency response function and used for establishing a model of the cracked beam called dynamic stiffness one. Then, the dynamic stiffness model of cracked beams is employed for representing two supporting beams in the H-form frame crane. So that a simplified model of the overhead crane is conducted as a beam with artificial elastic supports of stiffness obtained above for supporting beam. Finally, the free vibration problem of the simplified overhead crane is formulated and solved for the crane fundamental frequency analysis in dependence upon crack parameters and supporting positions. Numerical computation is accomplished for illustrating the proposed theory and providing some conclusions on the simplified model of 3D overhead cranes.
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| format | Article |
| id | doaj-art-9d1a3a8bb67d4432ad442b40070c52e9 |
| institution | DOAJ |
| issn | 0866-7136 2815-5882 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | Publishing House for Science and Technology |
| record_format | Article |
| series | Vietnam Journal of Mechanics |
| spelling | doaj-art-9d1a3a8bb67d4432ad442b40070c52e92025-08-20T02:55:12ZengPublishing House for Science and TechnologyVietnam Journal of Mechanics0866-71362815-58822024-11-0110.15625/0866-7136/21925An application of the dynamic stiffness concept for vibration of three-dimensional cracked overhead craneDang Xuan Trong0Nguyen Tien Khiem1https://orcid.org/0000-0001-5195-2704\(^1\) Occupational Safety and Health Inspection and Training Joint Stock Company, 733 Xo Viet Nghe Tinh street, Binh Thanh district, Ho Chi Minh City, Vietnam\(^2\) Institute of Mechanics, VAST, 264 Doi Can street, Ba Dinh district, Hanoi, Vietnam A simplified model is proposed for modal analysis of cracked 3D-framed overhead crane of H-form frame using the well-known dynamic stiffness method. First, the dynamic stiffness of a cracked beam is derived as the inverse of the frequency response function and used for establishing a model of the cracked beam called dynamic stiffness one. Then, the dynamic stiffness model of cracked beams is employed for representing two supporting beams in the H-form frame crane. So that a simplified model of the overhead crane is conducted as a beam with artificial elastic supports of stiffness obtained above for supporting beam. Finally, the free vibration problem of the simplified overhead crane is formulated and solved for the crane fundamental frequency analysis in dependence upon crack parameters and supporting positions. Numerical computation is accomplished for illustrating the proposed theory and providing some conclusions on the simplified model of 3D overhead cranes. https://vjs.ac.vn/index.php/vjmech/article/view/21925overhead cranecracked framedynamic stiffnessfree vibration |
| spellingShingle | Dang Xuan Trong Nguyen Tien Khiem An application of the dynamic stiffness concept for vibration of three-dimensional cracked overhead crane Vietnam Journal of Mechanics overhead crane cracked frame dynamic stiffness free vibration |
| title | An application of the dynamic stiffness concept for vibration of three-dimensional cracked overhead crane |
| title_full | An application of the dynamic stiffness concept for vibration of three-dimensional cracked overhead crane |
| title_fullStr | An application of the dynamic stiffness concept for vibration of three-dimensional cracked overhead crane |
| title_full_unstemmed | An application of the dynamic stiffness concept for vibration of three-dimensional cracked overhead crane |
| title_short | An application of the dynamic stiffness concept for vibration of three-dimensional cracked overhead crane |
| title_sort | application of the dynamic stiffness concept for vibration of three dimensional cracked overhead crane |
| topic | overhead crane cracked frame dynamic stiffness free vibration |
| url | https://vjs.ac.vn/index.php/vjmech/article/view/21925 |
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