A Study of Chaotic Motion on Non-Linear Vibration-Isolation System

Author(s):  
Qing Ouyang ◽  
Shi-Jian Zhu ◽  
Yin Shi

Abstract This paper deals with the vibration isolation efficiency of non-linear vibration-isolation system in a desired chaotic state. Numerical calculation shows that the response of a non-linear vibration system might have broad frequency band characterization, even though the excitation is a harmonic one if some physical parameters of the system is in certain value regimes, hence the force transferred to the supporting foundation from the isolated body will be a broad frequency band one. The practical experimental set was designed. In order to control the system in a desired chaotic state, the isolator must be a non-linear one with variable stiffness and damping. The chaotic motion of the system was identified through phase space reconstruction and spectral analysis based on the measured test data. The result shows that it is feasible to decrease the single line spectrum component significantly in the response by means of controlling chaotic vibration.

Author(s):  
Jingjun Lou ◽  
Shijian Zhu

The application of chaos method in line spectrum reduction is numerically studied. The nonlinear dynamics and the power flow transmissibility of a two-degree-of-freedom vibration isolation system with nonlinear spring are analyzed. The dynamic behavior distribution chart of the system is obtained. Cascades of bifurcation of the system with different excitation amplitude are also gained. The isolation effectiveness is analyzed from the point of view of energy. The numerical results show that the reduction of the line spectrum in chaotic state is much greater than that in non-chaotic state.


Author(s):  
Shuyong Liu ◽  
Shijian Zhu ◽  
Xiang Yu ◽  
Jingjing Wang

The nonlinear vibration isolation system works in a chaotic state when its parameters are in chaotic range. Under single frequency harmonic excitation, the output of this system is broad spectrum response, and thus the chaotic vibration isolation system is applied to control line spectra of the warship water-born noise. The passive vibration isolation system, however, cannot change the parameters when the work condition of isolated equipments is varied, and it is difficult to ensure that the system is in chaotic state. In order to adjust the system parameter on line, the magnetorheological damper can be used to control chaos in nonlinear vibration isolation systems. The system model with magnetorheological damper is presented in this paper, and then the simulation is carried out. Results show that the magnetorheological damper can be used to reduce the amplitude of the chaotic vibration when voltage is applied to the MR. When the voltage is increased, the system can exhibit period behaviour. This is a new method for chaos control.


2021 ◽  
pp. 107754632110005
Author(s):  
Yonglei Zhang ◽  
Guo Wei ◽  
Hao Wen ◽  
Dongping Jin ◽  
Haiyan Hu

The vibration isolation system using a pair of oblique springs or a spring-rod mechanism as a negative stiffness mechanism exhibits a high-static low-dynamic stiffness characteristic and a nonlinear jump phenomenon when the system damping is light and the excitation amplitude is large. It is possible to remove the jump via adjusting the end trajectories of the above springs or rods. To realize this idea, the article presents a vibration isolation system with a cam–roller–spring–rod mechanism and gives the detailed numerical and experimental studies on the effects of the above mechanism on the vibration isolation performance. The comparative studies demonstrate that the vibration isolation system proposed works well and outperforms some other vibration isolation systems.


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