On the deviation from cyclic symmetry in a spinning ring under moving electromagnetic loading

Document Type : Research Article

Authors

1 Department of Mechanical and Mechatronics Engineering-Shahrood University of Technology

2 صنعتی شاهرود-مهندسی مکانیک

3 Department of Mechanical and Mechatronics Engineering, Shahrood University of Technology

Abstract

Vibration problems are of great importance in design and construction of electric machines which affect both of mechanical and electrical properties of these machines. In this paper, the effects of both perfect and perturbed conditions of cyclic symmetry on the vibration behavior of spinning ring under moving electromagnetic loading have been investigated. Euler-Bernoulli beam assumptions have been implemented in the modeling of structure and electromagnetic loading has been modeled with discrete springs. Using Hamilton’s principle, the governing equations of in-plane vibrations of spinning ring have been extracted. Eigen analysis of the system has been extracted using perturbation methods. The obtained results show the condition of instability for a precise value of ring angular speed versus support speed in different vibration modes. The effects of time variation of spring’s stiffness and the variation of connection angle between springs and ring on the in-plane vibration of spinning ring, have been investigated extensively. It is shown that the deviation from cyclic symmetry could eliminate the mode splitting phenomenon in some cases. The obtained results are expected to offer better predictions of the vibrational behavior of spinning rings structures under moving loads in general, and in the design of electric machines, in particular.
 

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References

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Amirkabir Journal of Mechanical Engineering
Volume 53, Issue 6 (Special Issue)
September 2021
Pages 3891-3910

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