Stability analysis of nonlinear vibration system

2019 ◽  
Vol 1 (1) ◽  
pp. 8-15
Author(s):  
Li Fei ◽  
Wen Minxia
Keyword(s):  
Stability Analysis ◽  
Nonlinear Vibration ◽  
Vibration System ◽  
Nonlinear Vibration System

Synchronization Analysis of the Double Exciting Motors in Nonlinear Vibration System Based on Reaching Law

2011 ◽  
Vol 295-297 ◽  
pp. 2197-2200
Author(s):  
Xiao Hao Li ◽  
Jie Liu
Keyword(s):  
State Space ◽  
Nonlinear Vibration ◽  
Dynamic Model ◽  
Phase Difference ◽  
Sliding Mode ◽  
Design Feature ◽  
Vibration System ◽  
Reaching Law ◽  
Speed Difference ◽  
Nonlinear Vibration System

Based on the dynamic model of the nonlinear vibration system which driven by double exciting motors, the rotate speed difference and phase difference state space equations have been deduced. According to the design feature of the nonlinear vibration system and the vibration synchronization requirement of double exciting motors, the approach control synchronization strategy has been deduced with sliding mode reaching law. The practical examples and tests shows that the reaching law synchronization controller can effectively control the double exciting motors to realize the synchronization movement, and the synchronization controller has stronger robustness. The analysis result can provide the theoretical and test basis for the further exploitation of synchronization vibrating machine.

scholarly journals Self-synchronization characteristics of a class of nonlinear vibration system with asymmetrical hysteresis

2019 ◽  
Vol 39 (1) ◽  
pp. 114-128
Author(s):  
Nan Zhang
Keyword(s):  
Nonlinear Vibration ◽  
Power Supply ◽  
The Self ◽  
Vibration System ◽  
Nonlinear Dynamic Model ◽  
Synchronous System ◽  
Vibrating System ◽  
Synchronous Operation ◽  
Hysteretic Characteristics ◽  
Nonlinear Vibration System

The self-synchronization characteristics of the two excited motors for the nonlinear vibration system with the asymmetrical hysteresis have been proposed in the exceptional circumstances of cutting off the power supply of one of the two excited motors. From the point of view of the hysteretic characteristics with the asymmetry, a class of nonlinear dynamic model of the self-synchronous vibrating system is presented for the analysis of the hysteretic characteristics of the soil, which is induced by the relation between the stress and the strain in the soil. The periodic solutions for the self-synchronous system with the asymmetrical hysteresis are investigated using nonlinear asymptotic method. The synchronization condition for the self-synchronous vibrating pile system with the asymmetrical hysteresis is theoretical analyzed using the rotor–rotation equations of the two excited motors. The synchronization stability condition also is theoretical analyzed using Jacobi matrix of the phase difference equation of the two excited motors. Using Matlab/Simlink, the synchronous operation of the two excited motors and the synchronous stability operation of the self-synchronous system with the asymmetrical hysteresis are analyzed through the selected parameters. Various synchronous phenomena are obtained through the difference rates of the two excited motors, including the different initial phase and the different initial angular velocity, and so on. Especially, when there is a certain difference in the two excited motors, the synchronous operation of the two excited motors and the synchronous stability operation of the self-synchronous vibrating system with the asymmetrical hysteresis can still be achieved after the power supply of one of the two excited motors has been disconnected. It has been shown that the research results can provide a theoretical basis for the research of the vibration synchronization theory.

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