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Dynamic analysis of three-dimensional helical geared rotor system with geometric eccentricity

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Abstract

A dynamic model of a multi-shaft helical geared rotor system is presented. Rotating shafts of the system are modeled as Timoshenko beams. A general three-dimensional dynamic model of helical gear pairs with geometric eccentricity is developed for the gear mesh and bearing flexibility is included in the model as well. The transmission error and gear geometric eccentricity are simulated as excitations. Eigenvalue solution and the modal summation technique are used to predict the natural frequencies and forced responses of the system. Then two geared rotor system models are presented for validation of the gear dynamic model. It is demonstrated that the gear mesh model is effective for general geared rotor systems, spur and helical gears, one-stage and multi-stage systems. Finally, forced responses of an example system are analyzed to demonstrate the influences of the helical gear geometric eccentricity and the coupling between gear geometric eccentricity and rotor mass unbalance.

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Authors and Affiliations

  1. School of Mechanical Engineering & Automation, Northeastern University, Shenyang, 110819, China

    Yimin Zhang, Qibin Wang, Hui Ma, Jing Huang & Chunyu Zhao

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  1. Yimin Zhang
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  2. Qibin Wang
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  3. Hui Ma
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  4. Jing Huang
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  5. Chunyu Zhao
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Corresponding author

Correspondence to Yimin Zhang.

Additional information

Recommended by Editor Yeon June Kang

Yimin Zhang, is the Changjiang Scholar of Mechanical Design and Theory, Member of the Academic Degrees Committee of the State Council of China for Mechanical Engineering, Member of Grant Review Committee of National Natural Science Foundation of China for Mechanical Engineering. He has written the books Reliability Design of Automobile Components, Mechanics of Mechanical Vibration, and Mechanical Vibration. His interests include mechanical dynamic design, mechanical reliability design, modern design methodology, rotor dynamics, and others.

Qibin Wang is a Ph.D. student at the school of Mechanical Engineering & Automation, Northeastern University, China. His interests are in geared rotor system dynamic, mechanical reliability, and others.

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Zhang, Y., Wang, Q., Ma, H. et al. Dynamic analysis of three-dimensional helical geared rotor system with geometric eccentricity. J Mech Sci Technol 27, 3231–3242 (2013). https://doi.org/10.1007/s12206-013-0846-8

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  • DOI: https://doi.org/10.1007/s12206-013-0846-8

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