DYNAMIC CHARACTERISTICS OF A COLLISION SYSTEM WITH DRY FRICTION AND NONLINEAR CONSTRAINTS (MT)
A type of single-degree-of-freedom mechanical impact vibration system with dry friction and nonlinear constraints is studied. Through the fourth-order variable step Runge-Kutta numerical algorithm, the dynamics of the mechanical vibration system generated by the low-frequency excitation of the p/1 p...
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| Format: | Article |
| Language: | zho |
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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.1001.9669.2023.05.008 |
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| _version_ | 1841534210493382656 |
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| author | MA Shuo ZHU XiFeng WANG JianFeng |
| author_facet | MA Shuo ZHU XiFeng WANG JianFeng |
| author_sort | MA Shuo |
| collection | DOAJ |
| description | A type of single-degree-of-freedom mechanical impact vibration system with dry friction and nonlinear constraints is studied. Through the fourth-order variable step Runge-Kutta numerical algorithm, the dynamics of the mechanical vibration system generated by the low-frequency excitation of the p/1 periodic motion are analyzed. The effect of system parameters on the dynamic characteristics of the vibration model is analyzed by the method of multi-parameter co-simulation, and the frequency hysteresis characteristics of Grazing bifurcation and Saddle-node in p/1 periodic motion are revealed. And the range of coexistence attractors. Finally, combined with the cell mapping method, the distribution of different attractors and attracting domains in the polymorphic coexistence area and their transition laws are studied. The research results show that the Grazing bifurcation with the decrease of the excitation frequency, the number of collisions of the p/1 periodic motion will gradually increase until the flutter motion occurs, and due to the irreversibility of adjacent periodic motion, changing different initial values in the hysteresis domain will result in different periodic motions coexisting. |
| format | Article |
| id | doaj-art-e60e9504afb44f4bb6821843cd364557 |
| 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-e60e9504afb44f4bb6821843cd3645572025-01-15T02:44:23ZzhoEditorial Office of Journal of Mechanical StrengthJixie qiangdu1001-96692023-01-011065107144026206DYNAMIC CHARACTERISTICS OF A COLLISION SYSTEM WITH DRY FRICTION AND NONLINEAR CONSTRAINTS (MT)MA ShuoZHU XiFengWANG JianFengA type of single-degree-of-freedom mechanical impact vibration system with dry friction and nonlinear constraints is studied. Through the fourth-order variable step Runge-Kutta numerical algorithm, the dynamics of the mechanical vibration system generated by the low-frequency excitation of the p/1 periodic motion are analyzed. The effect of system parameters on the dynamic characteristics of the vibration model is analyzed by the method of multi-parameter co-simulation, and the frequency hysteresis characteristics of Grazing bifurcation and Saddle-node in p/1 periodic motion are revealed. And the range of coexistence attractors. Finally, combined with the cell mapping method, the distribution of different attractors and attracting domains in the polymorphic coexistence area and their transition laws are studied. The research results show that the Grazing bifurcation with the decrease of the excitation frequency, the number of collisions of the p/1 periodic motion will gradually increase until the flutter motion occurs, and due to the irreversibility of adjacent periodic motion, changing different initial values in the hysteresis domain will result in different periodic motions coexisting.http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2023.05.008Chattering-impact motionNon-linear constraintsBifurcationAttractors coexistenceMulti-parameter coordination |
| spellingShingle | MA Shuo ZHU XiFeng WANG JianFeng DYNAMIC CHARACTERISTICS OF A COLLISION SYSTEM WITH DRY FRICTION AND NONLINEAR CONSTRAINTS (MT) Jixie qiangdu Chattering-impact motion Non-linear constraints Bifurcation Attractors coexistence Multi-parameter coordination |
| title | DYNAMIC CHARACTERISTICS OF A COLLISION SYSTEM WITH DRY FRICTION AND NONLINEAR CONSTRAINTS (MT) |
| title_full | DYNAMIC CHARACTERISTICS OF A COLLISION SYSTEM WITH DRY FRICTION AND NONLINEAR CONSTRAINTS (MT) |
| title_fullStr | DYNAMIC CHARACTERISTICS OF A COLLISION SYSTEM WITH DRY FRICTION AND NONLINEAR CONSTRAINTS (MT) |
| title_full_unstemmed | DYNAMIC CHARACTERISTICS OF A COLLISION SYSTEM WITH DRY FRICTION AND NONLINEAR CONSTRAINTS (MT) |
| title_short | DYNAMIC CHARACTERISTICS OF A COLLISION SYSTEM WITH DRY FRICTION AND NONLINEAR CONSTRAINTS (MT) |
| title_sort | dynamic characteristics of a collision system with dry friction and nonlinear constraints mt |
| topic | Chattering-impact motion Non-linear constraints Bifurcation Attractors coexistence Multi-parameter coordination |
| url | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2023.05.008 |
| work_keys_str_mv | AT mashuo dynamiccharacteristicsofacollisionsystemwithdryfrictionandnonlinearconstraintsmt AT zhuxifeng dynamiccharacteristicsofacollisionsystemwithdryfrictionandnonlinearconstraintsmt AT wangjianfeng dynamiccharacteristicsofacollisionsystemwithdryfrictionandnonlinearconstraintsmt |