Periodic Motion and Transition of a Vibro‐Impact System with Multilevel Elastic Constraints
In this paper, a single-degree-of-freedom vibroimpact system with multilevel elastic constraints is taken as the research object. By constructing the Poincaré map of the system and calculating the Lyapunov exponent spectrum of the system, the stability of the system is determined. Using the multipar...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2021/6687887 |
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| _version_ | 1832550920279293952 |
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| author | Jie Ding Chao Wang Wangcai Ding |
| author_facet | Jie Ding Chao Wang Wangcai Ding |
| author_sort | Jie Ding |
| collection | DOAJ |
| description | In this paper, a single-degree-of-freedom vibroimpact system with multilevel elastic constraints is taken as the research object. By constructing the Poincaré map of the system and calculating the Lyapunov exponent spectrum of the system, the stability of the system is determined. Using the multiparameter collaborative numerical simulation method, the parameter domains of various periodic motions are determined, and the diversity and transition characteristics of periodic motions are revealed. At the same time, combined with the cell mapping method, the coexistence of attractors induced due to grazing bifurcation, saddle-node bifurcation, and boundary crisis is studied. Finally, the influence of system parameters on periodic motion distribution is analyzed, which provides a scientific basis for system parameter optimization. |
| format | Article |
| id | doaj-art-8e5a96b15e8048269ecbb660ee9edd70 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-8e5a96b15e8048269ecbb660ee9edd702025-02-03T06:05:26ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2021-01-01202110.1155/2021/66878876687887Periodic Motion and Transition of a Vibro‐Impact System with Multilevel Elastic ConstraintsJie Ding0Chao Wang1Wangcai Ding2School of Mechatronic Engineering, Lanzhou Jiaotong University, Lanzhou 730070, ChinaSchool of Mechatronic Engineering, Lanzhou Jiaotong University, Lanzhou 730070, ChinaSchool of Mechatronic Engineering, Lanzhou Jiaotong University, Lanzhou 730070, ChinaIn this paper, a single-degree-of-freedom vibroimpact system with multilevel elastic constraints is taken as the research object. By constructing the Poincaré map of the system and calculating the Lyapunov exponent spectrum of the system, the stability of the system is determined. Using the multiparameter collaborative numerical simulation method, the parameter domains of various periodic motions are determined, and the diversity and transition characteristics of periodic motions are revealed. At the same time, combined with the cell mapping method, the coexistence of attractors induced due to grazing bifurcation, saddle-node bifurcation, and boundary crisis is studied. Finally, the influence of system parameters on periodic motion distribution is analyzed, which provides a scientific basis for system parameter optimization.http://dx.doi.org/10.1155/2021/6687887 |
| spellingShingle | Jie Ding Chao Wang Wangcai Ding Periodic Motion and Transition of a Vibro‐Impact System with Multilevel Elastic Constraints Discrete Dynamics in Nature and Society |
| title | Periodic Motion and Transition of a Vibro‐Impact System with Multilevel Elastic Constraints |
| title_full | Periodic Motion and Transition of a Vibro‐Impact System with Multilevel Elastic Constraints |
| title_fullStr | Periodic Motion and Transition of a Vibro‐Impact System with Multilevel Elastic Constraints |
| title_full_unstemmed | Periodic Motion and Transition of a Vibro‐Impact System with Multilevel Elastic Constraints |
| title_short | Periodic Motion and Transition of a Vibro‐Impact System with Multilevel Elastic Constraints |
| title_sort | periodic motion and transition of a vibro impact system with multilevel elastic constraints |
| url | http://dx.doi.org/10.1155/2021/6687887 |
| work_keys_str_mv | AT jieding periodicmotionandtransitionofavibroimpactsystemwithmultilevelelasticconstraints AT chaowang periodicmotionandtransitionofavibroimpactsystemwithmultilevelelasticconstraints AT wangcaiding periodicmotionandtransitionofavibroimpactsystemwithmultilevelelasticconstraints |