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<p>This study focuses on the dynamic stability of the marine rotating machinery with airbag system under the implicated motion. Firstly, considering the coupling between vertical and angular vibrations, a mathematical model of the rotating machinery system having two-degree-of freedom is developed based on the Lagrange’s equation. Then, both the multi-scale method and the damped newton method are applied to analyze the amplitude frequency-response characteristics of system in the 1:1 internal resonance case. By using the numerical method, the dynamic behavior of the system is studied under different rotating speeds. The results show that the vibration response of the system exhibits the combination parametric frequencies of fractional frequency and combination parametric frequencies of harmonic and subtractive type. The stability of the rotor system is able to be enhanced by changing the heaving amplitude and the position of the rotating point when the 1:1 internal resonance of the system occurs.</p>

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Dynamic stability of the marine rotating machinery with airbag system under the implicated motion

  • 期刊论文

  • 发表日期：

    2026年4月9日

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  • Weihua Zuo,
  • Ming Li,
  • Xinke Liu,
  • Zhenhua Li

摘要

This study focuses on the dynamic stability of the marine rotating machinery with airbag system under the implicated motion. Firstly, considering the coupling between vertical and angular vibrations, a mathematical model of the rotating machinery system having two-degree-of freedom is developed based on the Lagrange’s equation. Then, both the multi-scale method and the damped newton method are applied to analyze the amplitude frequency-response characteristics of system in the 1:1 internal resonance case. By using the numerical method, the dynamic behavior of the system is studied under different rotating speeds. The results show that the vibration response of the system exhibits the combination parametric frequencies of fractional frequency and combination parametric frequencies of harmonic and subtractive type. The stability of the rotor system is able to be enhanced by changing the heaving amplitude and the position of the rotating point when the 1:1 internal resonance of the system occurs.