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Dynamics characteristic of a class of single-degree-of-freedom collision system under nonlinear constraint
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Cheng MA1, Xifeng ZHU1, 2, Dong ZHENG1, Wenbin FU1
Journal of Mechanical Strength | 2025, 47(3) : 82 - 89
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Journal of Mechanical Strength | 2025, 47(3): 82-89
• ·Vibration·Noise·Monitoring·Diagnosis· •
Dynamics characteristic of a class of single-degree-of-freedom collision system under nonlinear constraint
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Cheng MA1, Xifeng ZHU1, 2, Dong ZHENG1, Wenbin FU1
Affiliations
  • 1.School of Mechanical Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China
  • 2.Key Laboratory of System Dynamics and Reliability of Rail Transport Equipment of Gansu Province, Lanzhou 730070, China
Published: 2025-03-15 doi: 10.16579/j.issn.1001.9669.2025.03.010
Outline
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A single-degree-of-freedom mechanical collision vibration system model with nonlinear terms and unilateral new nonlinear constraints was studied.The dynamics characteristics of the p/1 periodic motion of the system under low-frequency excitation were analyzed by using the variable-step fourth-order Runge-Kutta numerical algorithm and multi-parameter co-simulation.And the frequency hysteresis characteristics of the grazing bifurcation and saddle-node bifurcation in the p/1 periodic motion were analyzed.It was found that two different motions will exist at the same time，revealing the irreversibility of the transition between adjacent periodic motions.Finally, the influence of the change of the gap on the multi-state coexistence region of the system was studied.As the gap increases, the coexistence region of partial periodic motion decreases and transits to the low-frequency region.

Nonlinear constraint  /  Bifurcation  /  Multi-parameter coordination  /  Attractors coexistence
Cheng MA, Xifeng ZHU, Dong ZHENG, Wenbin FU. Dynamics characteristic of a class of single-degree-of-freedom collision system under nonlinear constraint[J]. Journal of Mechanical Strength, 2025 , 47 (3) : 82 -89 . DOI: 10.16579/j.issn.1001.9669.2025.03.010
Funding
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  • Science and Technology Plan of Gansu Province(20JR5RA424)
Appendix
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Year 2025 volume 47 Issue 3
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Article Info
doi: 10.16579/j.issn.1001.9669.2025.03.010
  • Receive Date：2023-07-03
  • Online Date：2026-03-17
  • Published：2025-03-15
Article Data
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History
  • Received：2023-07-03
  • Revised：2023-07-18
Funding
Science and Technology Plan of Gansu Province(20JR5RA424)
Affiliations
    1.School of Mechanical Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China
    2.Key Laboratory of System Dynamics and Reliability of Rail Transport Equipment of Gansu Province, Lanzhou 730070, China

Corresponding:

ZHU Xifeng, E-mail：
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表12种不同金属材料的力学参数
科
Family		 属数
Number of
genus		 种数
Number of
species		 占总种数比例
Percentage of
total species (%)		 属
Genus		 种数
Number of
species		 占总种数比例
Percentage of total
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鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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