Bifurcation Analysis of a Rigid Impact Oscillator with Bilinear Damping
This paper studies a rigid impact oscillator with bilinear damping developed as the mechanical model of an impulsive switched system. The stability and the bifurcation of periodic orbits in the impact oscillator are determined by using the mapping methods. One-parameter bifurcation analyses under va...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2018/1617650 |
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| _version_ | 1850170861588316160 |
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| author | Liping Zhang Haibo Jiang Yang Liu |
| author_facet | Liping Zhang Haibo Jiang Yang Liu |
| author_sort | Liping Zhang |
| collection | DOAJ |
| description | This paper studies a rigid impact oscillator with bilinear damping developed as the mechanical model of an impulsive switched system. The stability and the bifurcation of periodic orbits in the impact oscillator are determined by using the mapping methods. One-parameter bifurcation analyses under variation of forcing frequency and amplitude of external excitation are carried out. Coexisting attractors and various types of bifurcations, such as grazing, period-doubling, and saddle-node, are observed, which show the complex phenomena inhered in this impact oscillator. |
| format | Article |
| id | doaj-art-ac29986dfb2f49d2832e9dac3ba85042 |
| institution | OA Journals |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-ac29986dfb2f49d2832e9dac3ba850422025-08-20T02:20:23ZengWileyShock and Vibration1070-96221875-92032018-01-01201810.1155/2018/16176501617650Bifurcation Analysis of a Rigid Impact Oscillator with Bilinear DampingLiping Zhang0Haibo Jiang1Yang Liu2School of Mathematics and Statistics, Yancheng Teachers University, Yancheng 224002, ChinaSchool of Mathematics and Statistics, Yancheng Teachers University, Yancheng 224002, ChinaCollege of Engineering, Mathematics and Physical Sciences, University of Exeter, Rennes Drive, Exeter, EX4 4RN, UKThis paper studies a rigid impact oscillator with bilinear damping developed as the mechanical model of an impulsive switched system. The stability and the bifurcation of periodic orbits in the impact oscillator are determined by using the mapping methods. One-parameter bifurcation analyses under variation of forcing frequency and amplitude of external excitation are carried out. Coexisting attractors and various types of bifurcations, such as grazing, period-doubling, and saddle-node, are observed, which show the complex phenomena inhered in this impact oscillator.http://dx.doi.org/10.1155/2018/1617650 |
| spellingShingle | Liping Zhang Haibo Jiang Yang Liu Bifurcation Analysis of a Rigid Impact Oscillator with Bilinear Damping Shock and Vibration |
| title | Bifurcation Analysis of a Rigid Impact Oscillator with Bilinear Damping |
| title_full | Bifurcation Analysis of a Rigid Impact Oscillator with Bilinear Damping |
| title_fullStr | Bifurcation Analysis of a Rigid Impact Oscillator with Bilinear Damping |
| title_full_unstemmed | Bifurcation Analysis of a Rigid Impact Oscillator with Bilinear Damping |
| title_short | Bifurcation Analysis of a Rigid Impact Oscillator with Bilinear Damping |
| title_sort | bifurcation analysis of a rigid impact oscillator with bilinear damping |
| url | http://dx.doi.org/10.1155/2018/1617650 |
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