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Published on: April 13, 2016
Multi-phase composite synchronization of three vibrators in a space far-resonant vibration system
Shuangquan Shi1, Pan Fang2, Yongjun Hou1
1School of Mechanical Engineering, Southwest Petroleum University, Chengdu 610500, China; Oil and Gas Equipment Technology Sharing and Service Platform of Sichuan Province, Southwest Petroleum University, Chengdu 610500, China.
This study introduces a novel multi-phase composite synchronization scheme for vibration systems, enhancing control and self-synchronization. The research identifies specific phase differences to avoid chaotic behaviors and ensure stable operation.
Area of Science:
- Mechanical Engineering
- Control Systems Theory
- Vibration Analysis
Background:
- Self-synchronization and control synchronization in vibration systems face limitations due to inherent characteristics and cost.
- Existing methods often struggle to balance performance with economic viability.
Purpose of the Study:
- To propose a multi-phase composite synchronization scheme for space far-resonant vibration systems with three vibrators.
- To overcome the restrictions of individual synchronization methods by combining their strengths.
Main Methods:
- Developed a mathematical model and applied a sliding mode control (SMC) algorithm for multi-phase control synchronization.
- Analyzed the self-synchronization mechanism of two vibrators using the small parameter average method and Routh-Hurwitz criterion.
- Conducted simulations to validate multi-phase composite synchronization states.
Main Results:
- Multi-phase composite synchronization is achievable in stable operational regions for the three-vibrator system.
- Severe mass asymmetry in eccentric rotors (ERs) can induce chaotic behaviors at specific phase differences (PDs).
- Controlled PDs between -1.99 to -1.67 and 1.63 to 2.1 radians should be avoided to prevent chaos.
Conclusions:
- The proposed scheme enables stable multi-phase composite synchronization under specific conditions.
- Avoiding controlled PDs around -0.4 radians is crucial for robust synchronization ability.
- Careful management of phase differences and rotor asymmetry is essential for reliable vibration system operation.
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