Modelling a Cracked Beam Structure Using the Finite Element Displacement Method
A new model is presented for studying the effects of crack parameters on the dynamics of a cracked beam structure. The model is established by the finite element displacement method. In particular, the stiffness matrix of the cracked beam element is firstly derived by the displacement method, which...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2019/7302057 |
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| _version_ | 1832559481540575232 |
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| author | Hui Long Yilun Liu Changzheng Huang Weihui Wu Zhaojun Li |
| author_facet | Hui Long Yilun Liu Changzheng Huang Weihui Wu Zhaojun Li |
| author_sort | Hui Long |
| collection | DOAJ |
| description | A new model is presented for studying the effects of crack parameters on the dynamics of a cracked beam structure. The model is established by the finite element displacement method. In particular, the stiffness matrix of the cracked beam element is firstly derived by the displacement method, which does not need the flexibility matrix inversion calculation compared with the previous local flexibility approaches based on the force method. Starting with a finite element model of cracked beam element, the equation of strain energy of a cracked beam element is formed by the displacement method combined with the linear fracture mechanics. Then, based on the finite element method, the dynamic model of the cracked beam structure is obtained. The results show that the dynamic model discovers the internal relation between the dynamic characteristics of cracked beam structure and structural parameters, material parameters, and crack parameters. Finally, an example is presented to validate the proposed dynamic model. |
| format | Article |
| id | doaj-art-3d11cc42522745038e4096d1a120c6f8 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-3d11cc42522745038e4096d1a120c6f82025-02-03T01:29:54ZengWileyShock and Vibration1070-96221875-92032019-01-01201910.1155/2019/73020577302057Modelling a Cracked Beam Structure Using the Finite Element Displacement MethodHui Long0Yilun Liu1Changzheng Huang2Weihui Wu3Zhaojun Li4College of Mechanical and Electrical Engineering, Central South University, Changsha, ChinaCollege of Mechanical and Electrical Engineering, Central South University, Changsha, ChinaSchool of Physics and Mechanical & Electrical Engineering, Shaoguan University, Shaoguan, ChinaSchool of Physics and Mechanical & Electrical Engineering, Shaoguan University, Shaoguan, ChinaCollege of Mechanical Engineering, Guangxi University, Nanning, ChinaA new model is presented for studying the effects of crack parameters on the dynamics of a cracked beam structure. The model is established by the finite element displacement method. In particular, the stiffness matrix of the cracked beam element is firstly derived by the displacement method, which does not need the flexibility matrix inversion calculation compared with the previous local flexibility approaches based on the force method. Starting with a finite element model of cracked beam element, the equation of strain energy of a cracked beam element is formed by the displacement method combined with the linear fracture mechanics. Then, based on the finite element method, the dynamic model of the cracked beam structure is obtained. The results show that the dynamic model discovers the internal relation between the dynamic characteristics of cracked beam structure and structural parameters, material parameters, and crack parameters. Finally, an example is presented to validate the proposed dynamic model.http://dx.doi.org/10.1155/2019/7302057 |
| spellingShingle | Hui Long Yilun Liu Changzheng Huang Weihui Wu Zhaojun Li Modelling a Cracked Beam Structure Using the Finite Element Displacement Method Shock and Vibration |
| title | Modelling a Cracked Beam Structure Using the Finite Element Displacement Method |
| title_full | Modelling a Cracked Beam Structure Using the Finite Element Displacement Method |
| title_fullStr | Modelling a Cracked Beam Structure Using the Finite Element Displacement Method |
| title_full_unstemmed | Modelling a Cracked Beam Structure Using the Finite Element Displacement Method |
| title_short | Modelling a Cracked Beam Structure Using the Finite Element Displacement Method |
| title_sort | modelling a cracked beam structure using the finite element displacement method |
| url | http://dx.doi.org/10.1155/2019/7302057 |
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