Frontiers of Mechanical Engineering >
New analysis model for rotor-bearing systems based on plate theory
Received date: 14 Mar 2018
Accepted date: 05 Jul 2018
Published date: 15 Dec 2019
Copyright
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.
Zhinan ZHANG , Mingdong ZHOU , Weimin DING , Huifang MA . New analysis model for rotor-bearing systems based on plate theory[J]. Frontiers of Mechanical Engineering, 2019 , 14(4) : 461 -473 . DOI: 10.1007/s11465-019-0525-2
1 |
Rao J S. History of Rotating Machinery Dynamics. Berlin: Springer Netherlands, 2011
|
2 |
Jing J P, Meng G, Yi S. On the non-linear dynamic behavior of a rotor-bearing system. Journal of Sound and Vibration, 2004, 274(3–5): 1031–1044
|
3 |
Zheng T, Hasebe N. Nonlinear dynamic behaviors of a complex rotor-bearing system. Journal of Applied Mechanics, 2000, 67(3): 485–495
|
4 |
Harris T A, Kotzalas M N. Rolling Bearing Analysis: Essential Concepts of Bearing Technology. 5th ed. Boca Raton: CRC Press, 2007
|
5 |
Harris T A, Kotzalas M N. Rolling Bearing Analysis: Advanced Concepts of Bearing Technology. 5th ed. Boca Raton: CRC Press, 2007
|
6 |
Gargiulo E P. A simple way to estimate bearing stiffness. Machine Design, 1980, 107–110
|
7 |
Ma H F, Liu G J, Nan R M.
|
8 |
Zhang X N, Han Q K, Peng Z K,
|
9 |
Tiwari R, Lees A W, Friswell M I. Identification of dynamic bearing parameters. Shock and Vibration Digest, 2004, 36(2): 99–124
|
10 |
de Mul J M, Vree J M, Maas D A. Equilibrium and associated load distribution in ball and roller bearings loaded in five degrees of freedom while neglecting friction-Part II: Application to roller bearings and experimental verification. Journal of Tribology, 1989, 111(1): 149–155
|
11 |
de Mul J M, Vree J M, Maas D A. Equilibrium and associated load distribution in ball and roller bearings loaded in five degrees of freedom while neglecting friction-Part I: General theory and application to ball bearings. Journal of Tribology, 1989, 111(1): 142–148
|
12 |
Walford T L H, Stone B J. The measurement of the radial stiffness of rolling element bearings under oscillating conditions. Journal of Mechanical Engineering Science, 1980, 22(4): 175–181
|
13 |
Kraus J, Blech J J, Braun S G. In situ determination of rolling bearing stiffness and damping by modal analysis. Journal of Vibration, Acoustics, Stress, and Reliability in Design, 1987, 109(3): 235–240
|
14 |
Marsh E R, Yantek D S. Experimental measurement of precision bearing dynamic stiffness. Journal of Sound and Vibration, 1997, 202(1): 55–66
|
15 |
Ma H F. Application of radial stiffness of rolling bearings in calculation of critical speed of rotors. Bearing, 2013, 4: 33–35 (in Chinese)
|
16 |
Stone B J. The state of the art in the measurement of the stiffness and damping of rolling element bearings. CIRP Annual-Manufacture Technology, 1982, 31(2): 529–538
|
17 |
Jones A B. A general theory for elastically constrained ball and radial roller bearings under arbitrary load and speed conditions. Journal of Basic Engineering, 1960, 82(2): 309–320
|
18 |
Kang Y, Huang C C, Lin C S,
|
19 |
Lim T C, Singh R. Vibration transmission through rolling element bearings Part I: Bearing stiffness formulation. Journal of Sound and Vibration, 1990, 139(2): 179–199
|
20 |
Gunduz A, Singh R. Stiffness matrix formulation for double row angular contact ball bearings: Analytical development and validation. Journal of Sound and Vibration, 2013, 332(22): 5898–5916
|
21 |
Liew H V, Lim T C. Analysis of time-varying rolling element bearing characteristics. Journal of Sound and Vibration, 2005, 283(3–5): 1163–1179
|
22 |
Guo Y, Parker R G. Stiffness matrix calculation of rolling element bearing using a finite element/contact mechanics model. Mechanism and Machine Theory, 2012, 51: 32–45
|
23 |
Jiang S J, Zheng S F. A modeling approach for analysis and improvement of spindle-drawbar-bearing assembly dynamics. International Journal of Machine Tools and Manufacture, 2010, 50(1): 131–142
|
24 |
Zhang X N, Han Q K, Peng Z K,
|
25 |
Sheng X, Li B Z, Wu Z P,
|
26 |
Timoshenko S, Woinowsky-Krieger S. Theory of plates and shells. New York: McGraw-Hill, 1959
|
27 |
Zhang Z N, Ding W M, Ma H F. Simplified model for bearing stiffness based on plate theory. Bearing, 2015, (4): 7–11 (in Chinese)
|
28 |
Liu H W, Lin J X, Cao M L. Theory of Plates and Shells. Hangzhou: Zhejiang University Press, 1987 (in Chinese)
|
29 |
Hao W U, Wang J W, An Q. Study on the calculating method of radial stiffness of tapered roller bearing. Lubrication Engineering, 2008, 33(7): 39–43 (in Chinese)
|
/
〈 | 〉 |