Synchronization and stability of an elastically coupled tri-rotor vibration system

• Autorzy: Hou Y. , Du M. , Fang P. , Zhang L.

Identyfikatory

DOI

10.15632/jtam-pl.55.1.227

• Języki publikacji: EN

Abstrakty

EN

A new mechanism, an elastically coupled tri-rotor system, is proposed to implement synchronization. It is composed of a rigid body, three induction motors, coupling unit and springs. According to the Lagrange equation, the model of the system is established. The average method of small parameters is applied to study the synchronization characteristics of the system, therefore, the balance equation and stability criterion of the system can be obtained. Obviously, many parameters affect the synchronous state of the rotors, especially the spring stiffness, the stiffness of the coupling unit and the installation location of the system. Finally, computer simulations are used to verify the correctness of theoretical analysis.

Słowa kluczowe

EN

tri-rotor; synchronization characteristics; stability; computer simulations

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2017
• Tom: Vol. 55 nr 1
• Strony: 227--240
• Opis fizyczny: Bibliogr. 17 poz., rys., tab.

Twórcy

autor

Hou Y.

• School of Mechanical Engineering, Southwest Petroleum University, Chengdu, China

autor

Du M.

• School of Mechanical Engineering, Southwest Petroleum University, Chengdu, China

autor

Fang P.

• School of Mechanical Engineering, Southwest Petroleum University, Chengdu, China

autor

Zhang L.

• School of Mechanical Engineering, Southwest Petroleum University, Chengdu, China

Bibliografia

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• 5. Blekhman I.I., Fradkov A.L., Tomchina O.P., Bogdanov D.E., 2002, Self-synchronization and controlled synchronization: general definition and example design, Mathematics and Computers in Simulation, 58, 367-384
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• 12. Koluda P., Perlikowski P., Czolczynski K., Kapitaniak T., 2014, Synchronization of two self-excited double pendula, The European Physical Journal Special Topics, 223, 613-629
• 13. Kumon M., Washizaki R., Sato J., Kohzawa R., Mizumoto I., Iwai Z., 2002, Controlled synchronization of two 1-DOF coupled oscillators, International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 15, 1
• 14. Rui D., 2014, Anti-phase synchronization and ergodicity in arrays of oscillators coupled by an elastic force, European Physical Journal Special Topics, 223, 665-676
• 15. Zhang X.L., Wen B.C., Zhao C.Y., 2012, Synchronization of three homodromy coupled exciters in a non-resonant vibrating system of plane motion, Acta Mechanica Sinica, 28, 1424-1435
• 16. Zhang X.L., Wen B.C., Zhao C.Y., 2013, Synchronization of three non-identical coupled exciters with the same rotating directions in a far-resonant vibrating system, Journal of Sound and Vibration, 332, 2300-2317
• 17. Zhao C.Y., Zhang Y.M., Wen B.C., 2010, Synchronisation and general dynamic symmetry of a vibrating system with two exciters rotating in opposite directions, Acta Physica Sinica, 19, 14-20

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017)