Influence of Systematic Coupling Stiffness Parameter on Coupling Duffing System Lag Self-synchronization Characteristic

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Authors

  • Zhao-Hui Ren School of Mechanical Engineering and Automation, Northeastern University, Shenyang, 110004, China Author
  • Yu-Hang Xu School of Mechanical Engineering and Automation, Northeastern University, Shenyang, 110004, China Author
  • Yan-Long Han Department of Mechanical Engineering, Chengde Petroleum College, Chengde 067000, China Author
  • Nan Zhang School of Mechanical Engineering and Automation, Northeastern University, Shenyang, 110004, China Author
  • Bang-Chun Wen School of Mechanical Engineering and Automation, Northeastern University, Shenyang, 110004, China Author

DOI:

https://doi.org/10.5890/JAND.2015.09.003

Abstract

Self-synchronization, compound synchronization and intelligent control synchronization widely exist in the mechanical system engineering, while lag self-synchronization movement is a special form of cooperation movement. Based on coupling Duffing system, this paper studies lag self-synchronization problem, analyses general change law of the system co-rotating synchronization frequency, antisynchronization frequency and lag phase angle by analytic analysis and numerical quantitative analysis, studies coupling parameter influences on systematic lag self-synchronization, and analyses the cause of lag self-synchronization. The results show that the root cause of lag self-synchronization is systematic stiffness namely systematic natural characteristic; that co-rotating synchronization vibration frequency and phase difference depend on coupling stiffness parameter; and that frequency and phase difference of anti-synchronization vibration are independent of coupling stiffness parameter; and when coupling stiffness parameter is larger, phase difference of two oscillators in the two kinds of synchronization is nonzero constant value.

References

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PublishedSeptember 2015

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History Published

Issue

Vol. 4 No. 3 (2015): Regular Issue

Section

Research Articles

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Unless an article landing page states a Creative Commons or other article-specific license, the article is published by L&H Scientific Publishing, LLC and all rights are reserved. The article-level license and copyright notice govern access and reuse.

How to Cite

Ren, Z.-H., Xu, Y.-H., Han, Y.-L., Zhang, N., & Wen, B.-C. (2026). Influence of Systematic Coupling Stiffness Parameter on Coupling Duffing System Lag Self-synchronization Characteristic. Journal of Applied Nonlinear Dynamics, 4(3), 229-237. https://doi.org/10.5890/JAND.2015.09.003

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