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Equivalent circuit simulation of a two-degree-of-freedom elastic collision vibration system with gaps
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Xifeng ZHU1, 2, Wenbin FU1, Shuo MA1, Dong ZHENG1
Journal of Mechanical Strength | 2025, 47(1) : 31 - 41
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Journal of Mechanical Strength | 2025, 47(1): 31-41
• Vibration·Noise·Monitoring·Diagnosis •
Equivalent circuit simulation of a two-degree-of-freedom elastic collision vibration system with gaps
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Xifeng ZHU1, 2, Wenbin FU1, Shuo MA1, Dong ZHENG1
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: 2025-01-15 doi: 10.16579/j.issn.1001.9669.2025.01.004
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A two-degree-of-freedom collision system with gap and elastic constraint was used as the research object, and the regional distribution and transitions of the periodic motion of the system under low frequency conditions were studied by numerical simulation. It was obtained that with the decrease of excitation frequency, the p/1 periodic motion occurs with grazing bifurcation transitions to（p+1）/1 periodic motion. When the number of collisions was large enough, the Chatteringimpact characteristics were presented. Then a circuit model that was completely equivalent to the collision system was established and simulation experiments were carried out. The results show that the results generated by establishing the equivalent circuit are consistent with those generated by numerical simulations, and the equivalent circuit is more efficient in simulation experiments, which can realize fast modal transitions and parameter adjustments，making it more convenient and providing a research method for the study of nonlinear dynamics.

Vibration system  /  Modal conversion  /  Numerical simulation  /  Chattering-impact motion  /  Equivalent circuit
Xifeng ZHU, Wenbin FU, Shuo MA, Dong ZHENG. Equivalent circuit simulation of a two-degree-of-freedom elastic collision vibration system with gaps[J]. Journal of Mechanical Strength, 2025 , 47 (1) : 31 -41 . DOI: 10.16579/j.issn.1001.9669.2025.01.004
Funding
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  • Science and Technology Plan of Gansu Province(20JR5RA424)
Appendix
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Year 2025 volume 47 Issue 1
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Article Info
doi: 10.16579/j.issn.1001.9669.2025.01.004
  • Receive Date：2023-06-02
  • Online Date：2026-03-18
  • Published：2025-01-15
Article Data
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History
  • Received：2023-06-02
  • Revised：2023-07-06
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

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ZHU Xifeng, E-mail：
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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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