Research on the influence of excitation amplitude on global bifurcation characteristics of nonlinear energy sink system

被引：0
|
作者：
Li S. [1 ]
Lou J.-J. [2 ]
Chai K. [2 ]
Liu S.-Y. [1 ]
机构：
[1] College of Power Engineering, Naval University of Engineering, Wuhan
[2] College of Naval Architecture and Ocean, Naval University of Engineering, Wuhan
来源：
Chuan Bo Li Xue/Journal of Ship Mechanics | 2021年 / 25卷 / 04期
关键词：
Excitation force amplitude; Folded singularity; Global bifurcation; Nonlinear energy sink; Periodic attractor; Slow invariant manifold;
D O I：
10.3969/j.issn.1007-7294.2021.04.011
中图分类号：
学科分类号：
摘要：
Under the condition that the system mass ratio is small, the influence of harmonic excitation force amplitude on the global bifurcation characteristics of nonlinear energy sink (NES) system was investigated in this paper. Firstly, the dynamic model of single-degree-of freedom nonlinear energy sink vibration absorption system was established, after that the reduced slow flow equations of the system 1: 1: 1 primary resonance response was derived by complexification-averaging approach. Then, the multi-scale method was used to investigate the slow invariant manifold and global bifurcation characteristics of the system on slow and fast time scales separately. Finally, the evolution of equilibrium points with the amplitude of the harmonic excitation force was simulated by phase trajectory method. The results show that the nonlinear jumping phenomenon only exists in the system when the nonlinear energy sink damping ratio is less than 1/√3. With the increase of excitation force amplitude, the two kinds of equilibrium points of periodic attractor and folded singularities may coexist in the system. Besides, the system could exhibit complicated nonlinear dynamic behaviors, such as subcritical bifurcation and Hopf bifurcation. Also, the phase trajectories will change significantly. © 2021, Editorial Board of Journal of Ship Mechanics. All right reserved.
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页码：479 / 488
页数：9
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