4.3 Article

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

Journal

JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY
Volume 27, Issue 11, Pages 3231-3242

Publisher

KOREAN SOC MECHANICAL ENGINEERS
DOI: 10.1007/s12206-013-0846-8

Keywords

Helical gear; Dynamic model; Finite element; Geometric eccentricity

Funding

  1. Key National Science & Technology Special Project on High-Grade CNC Machine Tools and Basic Manufacturing Equipment, China [2013ZX04011011]

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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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