Accurate prediction method of initial value of high-speed ball bearing model and gyroscopic torque analysis
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DOI 10.1007/s12206-020-0826-8
Journal of Mechanical Science and Technology 34 (9) 2020 Original Article DOI 10.1007/s12206-020-0826-8 Keywords: · Gyroscopic torque · High-speed ball bearings · New iterative algorithm · Prediction of initial values
Accurate prediction method of initial value of high-speed ball bearing model and gyroscopic torque analysis Lina Hao1,2, Song Deng1,2, Dongsheng Qian2,3 and Lin Hua1,2 1
Correspondence to: Song Deng [email protected]
Citation: Hao, L., Deng, S., Qian, D., Hua, L. (2020). Accurate prediction method of initial value of high-speed ball bearing model and gyroscopic torque analysis. Journal of Mechanical Science and Technology 34 (9) (2020) 3745~3755. http://doi.org/10.1007/s12206-020-0826-8
Received December 12th, 2019 Revised
May 28th, 2020
Accepted July 14th, 2020 † Recommended by Editor Hyung Wook Park
© The Korean Society of Mechanical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2020
School of Automotive Engineering, Hubei Key Laboratory of Advanced Technology of Automotive Parts, 2 Wuhan University of Technology, Wuhan 430070, China, Hubei Collaborative Innovation Center for 3 Automotive Components Technology, Wuhan University of Technology, Wuhan 430070, China, School of Materials Science and Engineering, Wuhan University of Technology, Wuhan 430070, China
Abstract
An accurate prediction method of initial value of high-speed ball bearing model is studyed and its gyroscopic torque is analyzed. First, a new iterative algorithm for high-speed ball bearings is proposed, in which the effects of gyroscopic torque and centrifugal force are considered. Then, to accurately predict the initial values for the proposed iterative algorithm, the combined displacements of bearings are calculated as the initial values according to the deformation superposition principle. The general applicability of this new iterative algorithm for high-speed ball bearings is demonstrated. Subsequently, the effects of combined loads, rotational speed, moment, and raceway groove curvature radius on the gyroscopic torque are discussed in detail. The results provide valuable guidelines for the reasonable selection of combined loads, rotational speed, and raceway groove curvature radii.
1. Introduction Ball bearings are the key components of rotating mechanical systems because of their power loss and high reliability. Differential sliding friction, spin friction, and gyroscopic effects between balls and bearing raceways frequently induce power consumption. At low speed and heavy load, gyroscopic torque is restrained by raceway friction such that it becomes negligible. At high speed and light load, the gyroscopic motion of balls affects the bearing dynamic behavior and its power loss [1]; hence, it is important to study the gyroscopic torque of high-speed ball bearings. Previous works have reported on the friction torques of rolling element bearings. Palmgren et al. [2, 3] used an experimental method to establish an empirical formulation for the friction torques of roll
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