# Frontiers of Mechanical Engineering

 RESEARCH ARTICLE |
New analysis model for rotor-bearing systems based on plate theory
Zhinan ZHANG1, Mingdong ZHOU2(), Weimin DING3, Huifang MA4
1. School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China
2. State Key Laboratory of Mechanical System and Vibration, Shanghai Key Laboratory of Digital Manufacture for Thin-walled Structures, Shanghai Jiao Tong University, Shanghai 200240, China
3. Ningbo Donly Co., Ltd., Ningbo 315000, China
4. AECC Commercial Aircraft Engine Co., Ltd. Shanghai 200240, China,
 Download: PDF(1979 KB)   HTML Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
 Abstract The purpose of this work is to develop a new analysis model for angular-contact, ball-bearing systems on the basis of plate theory instead of commonly known approaches that utilize spring elements. Axial and radial stiffness on an annular plate are developed based on plate, Timoshenko beam, and plasticity theories. The model is developed using theoretical and inductive methods and validated through a numerical simulation with the finite element method. The new analysis model is suitable for static and modal analyses of rotor-bearing systems. Numerical examples are presented to reveal the effectiveness and applicability of the proposed approach. Corresponding Authors: Mingdong ZHOU Online First Date: 09 October 2018
 Cite this article: Zhinan ZHANG,Mingdong ZHOU,Weimin DING, et al. New analysis model for rotor-bearing systems based on plate theory[J]. Front. Mech. Eng., 09 October 2018. [Epub ahead of print] doi: 10.1007/s11465-019-0525-2. URL: http://journal.hep.com.cn/fme/EN/10.1007/s11465-019-0525-2 http://journal.hep.com.cn/fme/EN/Y/V/I/0
 0
 Fig.1  Illustration of concentrated load applied to an annular plate [27]. (a) Concentrated load is applied to the rigid shaft; (b) equivalent axial load; (c) equivalent radial load Fig.2  (a) Illustration of the deformation of an annular plate; (b) illustration of an infinitesimal element Fig.3  Deformation of the annular plate under (a) axial load and (b) radial load Tab.1  Calculation of axial and radial deformation parameters Fig.4  Application procedure for the proposed method [27] Fig.5  3D model of the rotor-bearing system in a water ring vacuum pump Fig.6  Results of comparison of the first bending mode for the rotor bearing system. (a) Using the spring element-based approach; (b) using the plate theory-based approach Tab.2  spring element-based approach and plate theory-based approach Fig.7  Calculating displacement during acceleration Fig.8  Comparison of the results of displacement during acceleration. (a) Using the spring element-based method; (b) using the plate theory-based method Tab.3  Datasheet for displacement parameters $α$ and $β$ Fig.9  Flowchart for database development Fig.10  Plate theory-based model and potential new models Schematic of the coordinate system Maximum axial displacement under different boundary conditions or loads