LOW-FREQUENCY DYNAMIC CHARACTERISTICS OF A MECHANICAL VIBRATION SYSTEM UNDER BILATERAL NONLINEAR RESTRAINTS (MT)
A type of two-degree-of-freedom vibration system with bilateral nonlinear constraints is established. Through the fourth-order Runge-Kutta numerical algorithm, the dynamic characteristics of the p/1 periodic motion of the system under low frequency excitation, the law of mutual transition and the co...
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Editorial Office of Journal of Mechanical Strength
2023-01-01
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| Series: | Jixie qiangdu |
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| Online Access: | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2023.03.007 |
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| _version_ | 1841534313117515776 |
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| author | WEN ZhiHua ZHU XiFeng WANG JianFeng |
| author_facet | WEN ZhiHua ZHU XiFeng WANG JianFeng |
| author_sort | WEN ZhiHua |
| collection | DOAJ |
| description | A type of two-degree-of-freedom vibration system with bilateral nonlinear constraints is established. Through the fourth-order Runge-Kutta numerical algorithm, the dynamic characteristics of the p/1 periodic motion of the system under low frequency excitation, the law of mutual transition and the corresponding law of the coexistence zone of gap and period are analyzed. The cell mapping method is used to study the distribution law of different attractors and attracting domains in the coexistence area of periodic motion. The results show that the periodic motions of the system are mainly transferred through Grazing bifurcation and Saddle-node bifurcation. Due to the irreversible transition process, there is a coexistence zone of periodic motion between adjacent motions. As the gap increases, the range of the coexistence zone of periodic motion of the system gradually decreases. |
| format | Article |
| id | doaj-art-399bd8e181df400b8031b0503a608985 |
| institution | Kabale University |
| issn | 1001-9669 |
| language | zho |
| publishDate | 2023-01-01 |
| publisher | Editorial Office of Journal of Mechanical Strength |
| record_format | Article |
| series | Jixie qiangdu |
| spelling | doaj-art-399bd8e181df400b8031b0503a6089852025-01-15T02:40:39ZzhoEditorial Office of Journal of Mechanical StrengthJixie qiangdu1001-96692023-01-0155556140373466LOW-FREQUENCY DYNAMIC CHARACTERISTICS OF A MECHANICAL VIBRATION SYSTEM UNDER BILATERAL NONLINEAR RESTRAINTS (MT)WEN ZhiHuaZHU XiFengWANG JianFengA type of two-degree-of-freedom vibration system with bilateral nonlinear constraints is established. Through the fourth-order Runge-Kutta numerical algorithm, the dynamic characteristics of the p/1 periodic motion of the system under low frequency excitation, the law of mutual transition and the corresponding law of the coexistence zone of gap and period are analyzed. The cell mapping method is used to study the distribution law of different attractors and attracting domains in the coexistence area of periodic motion. The results show that the periodic motions of the system are mainly transferred through Grazing bifurcation and Saddle-node bifurcation. Due to the irreversible transition process, there is a coexistence zone of periodic motion between adjacent motions. As the gap increases, the range of the coexistence zone of periodic motion of the system gradually decreases.http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2023.03.007Chattering-impact motionNon-linear constraintsBifurcationAttractors coexistence |
| spellingShingle | WEN ZhiHua ZHU XiFeng WANG JianFeng LOW-FREQUENCY DYNAMIC CHARACTERISTICS OF A MECHANICAL VIBRATION SYSTEM UNDER BILATERAL NONLINEAR RESTRAINTS (MT) Jixie qiangdu Chattering-impact motion Non-linear constraints Bifurcation Attractors coexistence |
| title | LOW-FREQUENCY DYNAMIC CHARACTERISTICS OF A MECHANICAL VIBRATION SYSTEM UNDER BILATERAL NONLINEAR RESTRAINTS (MT) |
| title_full | LOW-FREQUENCY DYNAMIC CHARACTERISTICS OF A MECHANICAL VIBRATION SYSTEM UNDER BILATERAL NONLINEAR RESTRAINTS (MT) |
| title_fullStr | LOW-FREQUENCY DYNAMIC CHARACTERISTICS OF A MECHANICAL VIBRATION SYSTEM UNDER BILATERAL NONLINEAR RESTRAINTS (MT) |
| title_full_unstemmed | LOW-FREQUENCY DYNAMIC CHARACTERISTICS OF A MECHANICAL VIBRATION SYSTEM UNDER BILATERAL NONLINEAR RESTRAINTS (MT) |
| title_short | LOW-FREQUENCY DYNAMIC CHARACTERISTICS OF A MECHANICAL VIBRATION SYSTEM UNDER BILATERAL NONLINEAR RESTRAINTS (MT) |
| title_sort | low frequency dynamic characteristics of a mechanical vibration system under bilateral nonlinear restraints mt |
| topic | Chattering-impact motion Non-linear constraints Bifurcation Attractors coexistence |
| url | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2023.03.007 |
| work_keys_str_mv | AT wenzhihua lowfrequencydynamiccharacteristicsofamechanicalvibrationsystemunderbilateralnonlinearrestraintsmt AT zhuxifeng lowfrequencydynamiccharacteristicsofamechanicalvibrationsystemunderbilateralnonlinearrestraintsmt AT wangjianfeng lowfrequencydynamiccharacteristicsofamechanicalvibrationsystemunderbilateralnonlinearrestraintsmt |