Initial-Sensitive Dynamical Behaviors of a Class of Geometrically Nonlinear Oscillators
The vibrating system of a class of linkage-slider structure is considered, and its initial-sensitive dynamical behaviors such as safe jump, locking instability, and chaos are studied. First, static bifurcation of the dynamical system is discussed. Then, via analyzing the effect of the external excit...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2022/6472678 |
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| _version_ | 1832554616068243456 |
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| author | Bo Qin Huilin Shang Huimin Jiang |
| author_facet | Bo Qin Huilin Shang Huimin Jiang |
| author_sort | Bo Qin |
| collection | DOAJ |
| description | The vibrating system of a class of linkage-slider structure is considered, and its initial-sensitive dynamical behaviors such as safe jump, locking instability, and chaos are studied. First, static bifurcation of the dynamical system is discussed. Then, via analyzing the effect of the external excitation on the periodic solutions under primary resonance, it is found that the change of the excitation frequency may lead to bistability and safe jump. Furthermore, it follows from the investigation of the heteroclinic bifurcation that the increase of the external excitation amplitude may lead to locking instability, chaos, and static locking. The results have some potential values in the design of geometrically nonlinear oscillators. |
| format | Article |
| id | doaj-art-18dc90ee2730472891336aa10116da58 |
| institution | Kabale University |
| issn | 1875-9203 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-18dc90ee2730472891336aa10116da582025-02-03T05:51:01ZengWileyShock and Vibration1875-92032022-01-01202210.1155/2022/6472678Initial-Sensitive Dynamical Behaviors of a Class of Geometrically Nonlinear OscillatorsBo Qin0Huilin Shang1Huimin Jiang2School of Mechanical EngineeringSchool of Mechanical EngineeringSchool of Mechanical EngineeringThe vibrating system of a class of linkage-slider structure is considered, and its initial-sensitive dynamical behaviors such as safe jump, locking instability, and chaos are studied. First, static bifurcation of the dynamical system is discussed. Then, via analyzing the effect of the external excitation on the periodic solutions under primary resonance, it is found that the change of the excitation frequency may lead to bistability and safe jump. Furthermore, it follows from the investigation of the heteroclinic bifurcation that the increase of the external excitation amplitude may lead to locking instability, chaos, and static locking. The results have some potential values in the design of geometrically nonlinear oscillators.http://dx.doi.org/10.1155/2022/6472678 |
| spellingShingle | Bo Qin Huilin Shang Huimin Jiang Initial-Sensitive Dynamical Behaviors of a Class of Geometrically Nonlinear Oscillators Shock and Vibration |
| title | Initial-Sensitive Dynamical Behaviors of a Class of Geometrically Nonlinear Oscillators |
| title_full | Initial-Sensitive Dynamical Behaviors of a Class of Geometrically Nonlinear Oscillators |
| title_fullStr | Initial-Sensitive Dynamical Behaviors of a Class of Geometrically Nonlinear Oscillators |
| title_full_unstemmed | Initial-Sensitive Dynamical Behaviors of a Class of Geometrically Nonlinear Oscillators |
| title_short | Initial-Sensitive Dynamical Behaviors of a Class of Geometrically Nonlinear Oscillators |
| title_sort | initial sensitive dynamical behaviors of a class of geometrically nonlinear oscillators |
| url | http://dx.doi.org/10.1155/2022/6472678 |
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