Vibro-Impact Response Analysis of Collision with Clearance: A Tutorial
A collision with clearance causes obvious nonlinearity in structures, and dynamic response analysis plays an important role in predicting the mechanical performance of the structure. The general form of the nonlinear dynamic equation of a structure and the clearance modeling method are introduced, a...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-09-01
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| Series: | Machines |
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| Online Access: | https://www.mdpi.com/2075-1702/10/9/814 |
| _version_ | 1827659358405656576 |
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| author | Yongjie Xu Yu Tian Qiyu Li Yanbin Li Dahai Zhang Dong Jiang |
| author_facet | Yongjie Xu Yu Tian Qiyu Li Yanbin Li Dahai Zhang Dong Jiang |
| author_sort | Yongjie Xu |
| collection | DOAJ |
| description | A collision with clearance causes obvious nonlinearity in structures, and dynamic response analysis plays an important role in predicting the mechanical performance of the structure. The general form of the nonlinear dynamic equation of a structure and the clearance modeling method are introduced, and the clearance-caused nonlinear term is expressed by nonlinear impact forces. Different clearance collision models of local nonlinear structures are presented. The relationships between different impact forces and clearances are analyzed by two rigid sphere models. The solution methods of the nonlinear dynamic equation are compared by a vibro-impact response, such as the Newmark-β method combined with the Newton–Raphson method, generalized α method and precise integration method. The single degree of freedom model is adopted to compare the efficiency of the different numerical integration algorithms. Taking the beam structure model as a case study, the accurate nonlinear collision model with clearance is established by using the impact force model with high accuracy, and the accuracy of the model is verified by comparing the reference model with the numerical model. |
| first_indexed | 2024-03-09T23:20:20Z |
| format | Article |
| id | doaj.art-3bca0785d2c74185b43706ded067ee3e |
| institution | Directory Open Access Journal |
| issn | 2075-1702 |
| language | English |
| last_indexed | 2024-03-09T23:20:20Z |
| publishDate | 2022-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Machines |
| spelling | doaj.art-3bca0785d2c74185b43706ded067ee3e2023-11-23T17:27:21ZengMDPI AGMachines2075-17022022-09-0110981410.3390/machines10090814Vibro-Impact Response Analysis of Collision with Clearance: A TutorialYongjie Xu0Yu Tian1Qiyu Li2Yanbin Li3Dahai Zhang4Dong Jiang5School of Mechanical and Electronic Engineering, Nanjing Forestry University, Nanjing 210037, ChinaSchool of Mechanical and Electronic Engineering, Nanjing Forestry University, Nanjing 210037, ChinaSchool of Mechanical and Electronic Engineering, Nanjing Forestry University, Nanjing 210037, ChinaInstitute of Aerospace Machinery and Dynamics, Southeast University, Nanjing 211189, ChinaInstitute of Aerospace Machinery and Dynamics, Southeast University, Nanjing 211189, ChinaSchool of Mechanical and Electronic Engineering, Nanjing Forestry University, Nanjing 210037, ChinaA collision with clearance causes obvious nonlinearity in structures, and dynamic response analysis plays an important role in predicting the mechanical performance of the structure. The general form of the nonlinear dynamic equation of a structure and the clearance modeling method are introduced, and the clearance-caused nonlinear term is expressed by nonlinear impact forces. Different clearance collision models of local nonlinear structures are presented. The relationships between different impact forces and clearances are analyzed by two rigid sphere models. The solution methods of the nonlinear dynamic equation are compared by a vibro-impact response, such as the Newmark-β method combined with the Newton–Raphson method, generalized α method and precise integration method. The single degree of freedom model is adopted to compare the efficiency of the different numerical integration algorithms. Taking the beam structure model as a case study, the accurate nonlinear collision model with clearance is established by using the impact force model with high accuracy, and the accuracy of the model is verified by comparing the reference model with the numerical model.https://www.mdpi.com/2075-1702/10/9/814clearanceimpact forcevibro-impact responsenonlinear dynamic equation |
| spellingShingle | Yongjie Xu Yu Tian Qiyu Li Yanbin Li Dahai Zhang Dong Jiang Vibro-Impact Response Analysis of Collision with Clearance: A Tutorial Machines clearance impact force vibro-impact response nonlinear dynamic equation |
| title | Vibro-Impact Response Analysis of Collision with Clearance: A Tutorial |
| title_full | Vibro-Impact Response Analysis of Collision with Clearance: A Tutorial |
| title_fullStr | Vibro-Impact Response Analysis of Collision with Clearance: A Tutorial |
| title_full_unstemmed | Vibro-Impact Response Analysis of Collision with Clearance: A Tutorial |
| title_short | Vibro-Impact Response Analysis of Collision with Clearance: A Tutorial |
| title_sort | vibro impact response analysis of collision with clearance a tutorial |
| topic | clearance impact force vibro-impact response nonlinear dynamic equation |
| url | https://www.mdpi.com/2075-1702/10/9/814 |
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