PERFORMANCE ANALYSIS AND STABILITY STUDY OF DIFFERENT TYPES OF NONLINEAR VIBRATION ABSORBERS WITH COMBINED STIFFNESS OF HORIZONTAL SPRINGS

被引：0
|
作者：
Chen Y. [1 ]
Du J. [1 ]
Cui H. [2 ]
Zhao Y. [1 ]
Liu Y. [1 ]
机构：
[1] College of Power and Energy Engineering, Harbin Engineering University, Harbin
[2] Wuhan Second Ship Design & Research Institute, Wuhan
来源：
Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics | 2023年 / 55卷 / 01期
关键词：
combined stiffness; horizontal spring; installation form; nonlinear vibration absorber; stability;
D O I：
10.6052/0459-1879-22-413
中图分类号：
学科分类号：
摘要：
As a kind of vibration control unit, dynamic vibration absorber is widely used in various engineering situations, but the traditional linear vibration absorber can only achieve narrow band vibration control. On the basis of the linear vibration absorber, this paper introduces symmetrical horizontal springs to build a combined stiffness nonlinear vibration absorber with linear stiffness and nonlinear stiffness to improve the vibration absorption performance of the absorber. Considering the possible installation modes in actual projects, the combined stiffness nonlinear vibration absorber models of horizontal spring with grounding and without grounding are established respectively. The dynamic response is solved analytically by the harmonic balance method combined with the arc length continuation method, and the results are mutually verified with the numerical results, which proves the accuracy of the solution results. Then, the vibration absorption performance between two kinds of combined stiffness nonlinear vibration absorbers, the linear vibration absorber, and the nonlinear energy sink is analyzed and compared. It is found that the combined stiffness nonlinear vibration absorbers with horizontal spring grounding installation type not only retain the advantages of the linear vibration absorber, but also improve the shortcomings of its narrow vibration absorption frequency band. In addition, the combined stiffness nonlinear vibration absorber of horizontal springs grounding installation type has better vibration absorption performance in a wider frequency band near the main resonance frequency than the nonlinear energy sink. On this basis, the effects of horizontal spring parameters and absorber damping on the amplitude-frequency response and stability of the main structure are discussed. Finally, the complex dynamic behavior in the unstable region of the amplitude-frequency response curve of the main structure is observed and analyzed. The research results show that the appropriate design parameters can make the vibration peak value of the main structure low, and the unstable movement area of the frequency response curve is also small. © 2023 Chinese Journal of Theoretical and Applied Mechanics Press. All rights reserved.
引用
收藏
页码：192 / 202
页数：10
相关论文
共 33 条
  • [1] Wu Chongjian, Luo Dongping, Yang Shuzi, Et al., Design and application of multiple tuned mass damper for ships, Journal of Vibration Engineering, 12, 4, pp. 584-589, (1999)
  • [2] Jiang Shengpeng, Huang Zixiang, Xie Xiling, Et al., Multi-frequency optimization of distributed dynamic vibration absorbers for propeller-shaft-stern coupling systems, Noise and Vibration Control, 41, 4, pp. 210-214, (2021)
  • [3] Li Jianfeng, Gong Xinglong, Zhang Xianzhou, Et al., Study of adaptive tuned vibration absorber and its dynamic properties, Journal of Experimental Mechanics, 20, 4, pp. 507-514, (2005)
  • [4] Fu Tao, ShangGuan Wenbin, Ding Yi, Et al., Design of a proportional electromagnetic active dynamic vibration absorber, Journal of Mechanical Engineering, 57, 19, pp. 147-154, (2021)
  • [5] Brennan MJ., Some recent developments in adaptive tuned vibration absorbers/neutralizers, Shock and Vibration, 13, pp. 531-543, (2006)
  • [6] Arnold FR., Steady-state behavior of systems provided with nonlinear dynamic vibration, Journal of Applied Mechanics, 22, 4, pp. 487-492, (1955)
  • [7] Vakakis AF., Inducing passive nonlinear energy sinks in vibrating systems, ASME Journal of Vibration and Acoustics, 123, 3, pp. 324-332, (2001)
  • [8] Gendelman OV, Gorlov D, Manevitch L, Et al., Dynamics of coupled linear and essentially nonlinear oscillators with substantially different masses, Journal of Sound and Vibration, 286, 1-2, pp. 1-19, (2005)
  • [9] Ding H, Chen LQ., Designs, analysis, and applications of nonlinear energy sinks, Nonlinear Dynamics, 100, pp. 3061-3107, (2020)
  • [10] Zhang Wenyong, Niu Muqing, Chen Liqun, Vibration absorption effect of whole satellite system with series nonlinear energy sink, Journal of Vibration and Shock, 39, 21, pp. 151-155, (2020)
1234