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<p>A novel nonlinear energy sink with a crank train inerter (CTI-NES) is proposed to increase the vibration reduction performance by introducing nonlinear inertance. The dynamic behavior of this device with dual nonlinearities of inertance and stiffness is complex, and its performance is still unknown. The aim of this paper is to investigate the nonlinear dynamic behavior of a CTI-NES and its vibration reduction performance. The complex dynamic behavior of CTI-NES is explored through bifurcation analysis, time history response, phase portraits, Poincaré maps, and power spectra, revealing that the system may undergo periodic, multi-periodic and chaotic motions. The amplitude-frequency response of the CTI-NES system is analysed via XPPAUT software, which contains one primary response curve and one or more detached resonance curves accompanied by limit points, branch points and torus bifurcations. These nonlinear features can be weakened by increasing the CTI-NES damping ratio and decreasing the excitation amplitude. Finally, the vibration reduction performance of the CTI-NES is investigated, which has a better vibration control effect and a smaller stroke requirement of the additional mass than the nonlinear energy sink (NES) and NES with an inerter (LI-NES). Furthermore, insufficient damping, mass, inertance or excessive stiffness should be avoided in CTI-NES design.</p>

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Chaos, bifurcation and performance of a system coupled to a nonlinear energy sink with a crank train inerter

  • 期刊论文

  • 发表日期：

    2025年9月30日

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  • Yu-ji Tai,
  • Dao-guang Liu,
  • Shi-long Wang,
  • Yong-jie Ma

摘要

A novel nonlinear energy sink with a crank train inerter (CTI-NES) is proposed to increase the vibration reduction performance by introducing nonlinear inertance. The dynamic behavior of this device with dual nonlinearities of inertance and stiffness is complex, and its performance is still unknown. The aim of this paper is to investigate the nonlinear dynamic behavior of a CTI-NES and its vibration reduction performance. The complex dynamic behavior of CTI-NES is explored through bifurcation analysis, time history response, phase portraits, Poincaré maps, and power spectra, revealing that the system may undergo periodic, multi-periodic and chaotic motions. The amplitude-frequency response of the CTI-NES system is analysed via XPPAUT software, which contains one primary response curve and one or more detached resonance curves accompanied by limit points, branch points and torus bifurcations. These nonlinear features can be weakened by increasing the CTI-NES damping ratio and decreasing the excitation amplitude. Finally, the vibration reduction performance of the CTI-NES is investigated, which has a better vibration control effect and a smaller stroke requirement of the additional mass than the nonlinear energy sink (NES) and NES with an inerter (LI-NES). Furthermore, insufficient damping, mass, inertance or excessive stiffness should be avoided in CTI-NES design.