Modeling and simulation of multi-disk auto-balancing rotor
Mathematical model of multi-disk auto-balancing rotor has been established by Lagrange equation. By simulation, it found that the ball was moved automatically to the opposite side of eccentric mass with balancing the eccentric mass automatically and reducing vibration when the tri-disk auto-balancing rotor reached above third order critical rotation speed; The ball was moved automatically to the same side of the eccentric mass, enlarging eccentric mass and increasing the vibration when below first order critical rotation speed; Regarding distributions on the same side with eccentric mass, vibration was reduced when they are between first order and second order critical rotation speeds; Regarding distributions on the same side with eccentric mass and on the asymmetric opposite side, vibration was reduced, when they are between second order and third order critical rotation speeds; Vibration was increased in other situations.
Keywords: rotor dynamics; auto-balancing; modeling; simulation; eccentric mass
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ABOUT THE AUTHORS
Yang Yi-Jiao
Associate Prof. YANG Yi-jiao , Address correspondence to YANG Yi-jiao at the State Key Laboratory of High Performance Complex Manufacturing, Central South University, Changsha, Hunan 410083, China;
Tan Qing
Prof. TAN Qing , Address correspondence to TAN Qing at the State Key Laboratory of High Performance Complex Manufacturing, Central South University, Changsha, Hunan 410083, China;
Yi Nian-En
YI Nian-en (Corresponding Author) is working on the rock breaking mechanics of TBM ( tunnel boring machine) cutters and design problems. To improve the cutting performance and prolong cutter life. Address correspondence to corresponding author at the School of Mechanical and Electrical Engineering, Central South University, Changsha, Hunan 410083, China;
Yang Jun-Zhe
School of Automotive and Mechanical Engineering, Changsha University of Science and Technology
Yang Yi-Jiao
Associate Prof. YANG Yi-jiao , Address correspondence to YANG Yi-jiao at the State Key Laboratory of High Performance Complex Manufacturing, Central South University, Changsha, Hunan 410083, China;
Tan Qing
Prof. TAN Qing , Address correspondence to TAN Qing at the State Key Laboratory of High Performance Complex Manufacturing, Central South University, Changsha, Hunan 410083, China;
Yi Nian-En
YI Nian-en (Corresponding Author) is working on the rock breaking mechanics of TBM ( tunnel boring machine) cutters and design problems. To improve the cutting performance and prolong cutter life. Address correspondence to corresponding author at the School of Mechanical and Electrical Engineering, Central South University, Changsha, Hunan 410083, China;
Yang Jun-Zhe
School of Automotive and Mechanical Engineering, Changsha University of Science and Technology