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Purpose <p>A dynamic model of the cam with flat-faced follower system incorporating nonlinear terms such as guideway impact clearance, non-linear Hertzian contact and friction between cam and follower is established. The diversity of the dynamic response of the follower impact guide and the effect of two types of nonlinear factors of the cam-follower system on its guide impact are investigated to provide a reference for the system’s big data diagnosis and collaborative optimization.</p> Methods <p>The impact dynamics of the follower and guideway are analyzed based on the multi-mode period motion target and multi-parameter co-simulation, and three different Poincaré mappings are established to determine the period and type of impact of the follower motion. Bifurcation diagrams, phase diagrams, coexisting attractor evolution diagrams, penetration depth distribution diagrams and mapping diagrams are used to analyze the dynamic characteristics of the system.</p> Results <p>The type of impact of the follower with the rail is primarily an <i>n</i>-0-<i>q</i> pattern, where the follower impacts only one side of the guideway and no impact occurs on the other side. The greater the cam rotation speed, the more likely the system will fail. The contact state of the follower and the guideway is related to the preload and contact stiffness, and is independent of the friction between them.</p> Conclusion <p>The follower did not completely disengage from the cam, and the system did not reach a state of damage or failure with the system parameters selected in this paper. The greater the preload, the greater the intrusion depth, but the greater the contact stiffness, the smaller the intrusion depth. The irreversibility and discontinuity of the neighboring periodic motion transitions within the 1-0-<i>q</i> group triggers the lingual transition domain and the hysteresis transition domain, respectively. The lingual transition domain demonstrates the diversity and complexity of the system’s periodic motions when translating. The coexistence of periodic motions within the hysteresis transitions domain provides a basis for optimization and selection of ideal motion patterns.</p>

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Analysis of Low-Frequency Vibration Characteristics of Cam with Flat-Faced Follower Mechanisms

  • 期刊论文

  • 发表日期：

    2025年2月12日

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  • Xiaorong Zhang,
  • Guanwei Luo,
  • Zheng Wang,
  • Xinlei An

摘要

Purpose

A dynamic model of the cam with flat-faced follower system incorporating nonlinear terms such as guideway impact clearance, non-linear Hertzian contact and friction between cam and follower is established. The diversity of the dynamic response of the follower impact guide and the effect of two types of nonlinear factors of the cam-follower system on its guide impact are investigated to provide a reference for the system’s big data diagnosis and collaborative optimization.

Methods

The impact dynamics of the follower and guideway are analyzed based on the multi-mode period motion target and multi-parameter co-simulation, and three different Poincaré mappings are established to determine the period and type of impact of the follower motion. Bifurcation diagrams, phase diagrams, coexisting attractor evolution diagrams, penetration depth distribution diagrams and mapping diagrams are used to analyze the dynamic characteristics of the system.

Results

The type of impact of the follower with the rail is primarily an n-0-q pattern, where the follower impacts only one side of the guideway and no impact occurs on the other side. The greater the cam rotation speed, the more likely the system will fail. The contact state of the follower and the guideway is related to the preload and contact stiffness, and is independent of the friction between them.

Conclusion

The follower did not completely disengage from the cam, and the system did not reach a state of damage or failure with the system parameters selected in this paper. The greater the preload, the greater the intrusion depth, but the greater the contact stiffness, the smaller the intrusion depth. The irreversibility and discontinuity of the neighboring periodic motion transitions within the 1-0-q group triggers the lingual transition domain and the hysteresis transition domain, respectively. The lingual transition domain demonstrates the diversity and complexity of the system’s periodic motions when translating. The coexistence of periodic motions within the hysteresis transitions domain provides a basis for optimization and selection of ideal motion patterns.