Design and optimization of the shape of the roller generatrix of double-row railway roller bearing
DOI:
https://doi.org/10.15587/1729-4061.2014.26245Keywords:
bearing roller, contact pressure, optimization, radius of curvature, finite element methodAbstract
The paper considers constructing a parametric model of the double-row railway roller bearing and determining the optimal shape of its roller to reduce contact pressure.
Solution of problems of one-and two-parameter roller shape optimization, ensuring maximum uniform contact pressure distribution, is achieved by forming the roller geometry by varying the radius of curvature of the roller generatrix, or by varying the two radii that describe the change in the generatrix curvature. The level of maximum contact pressure was considered as the objective function.
To determine the contact pressures, finite element method in the formulation of the contact problem of elasticity theory was used. Numerical solution of the contact problem was performed by expanding Lagrange's method; ANSYS software package was used.
Solution of problems of one-and two-parameter roller surface shape optimization was carried out by applying the penalty function method in combination with the alternating-variable descent method and the golden section search method.
Optimal radii of curvature of roller generatrix of double-row railway roller bearing CRU 150x250 in the formulation of one-and two-parameter optimization problem were obtained.
It was revealed that the roller generatrix geometry in the form of two conjugated radii of curvature ensures maximum contact pressure level by 8% lower than in forming the roller surface curvature by a single radius of curvature.
The results show the possibility of a significant reduction of the contact pressure for a pair of roller - bearing race due to the optimal profiling of roller generatrix, which will allow proportionally increase the durability and life of the product.
References
- Felkening, B. (1998). Rolling in machine tools. Industiantsayger, 36/37, 534–539.
- Barszcz, T., Sawalhi, N. (2012). Fault Detection Enhancement in Rolling Element Bearings Using the Minimum Entropy Deconvolution. Archives of Acoustics, 37 (2), 131–141. doi:10.2478/v10168-012-0019-2
- Sehgal, R. (Ed.) (2012). Performance Evaluation of Bearings, 240. doi:10.5772/2421
- Nagatani, H. (2010). Improved Method of Roller Bearing Fatigue Life Prediction under Edge Loading Conditions. Tribology Transactions, 53 (5), 695–702. doi:10.1080/10402001003699593
- Tudose, L., Tudose, L., Stanescu, C. (2011). Optimal design of rolling-contact bearings via evolutionary algorithms. RKB technology review, 13.
- Gupta, S., Tiwari, R., Nair, S. B. (2007). Multi-objective design optimisation of rolling bearings using genetic algorithms. Mechanism and Machine Theory, 42 (10), 1418–1443. doi:10.1016/j.mechmachtheory.2006.10.002
- Fujiwara, H., Kawase, T. (2007). Logarithmic profiles of rollers in roller bearings and optimization of the profiles. Proceedings of the Japan Society of Mechanical Engineers Part C, 75, 3022–3029.
- Hasegawa, H. (2008). Fatigue life estimation for roller bearings under edge load occurrence. Transactions of the Japan Society of Mechanical Engineers C, 74 (742), 1609–1616.
- Bogomolov, S. I., Simson, E. A. (1983). Optimization of mechanical systems in resonant modes. Kharkiv, Graduate School, 152.
- Vanderplaats, G. N. (1983). Optimization designs - past, present and future. Aerospace, 129–140.
- Rekleytis, G., Reyvindran, A., Regsdel, K. (1986). Optimization in Technics. Moscow; Mir, 349.
- Yildirim, E. A. (2004). Unifying Optimal Partition Approach to Sensitivity Analysis in Conic Optimization. Journal of Optimization Theory and Applications, 122 (2), 405–423. doi:10.1023/b:jota.0000042528.76868.22
- Mudrov, A. E. (1991). Numerical methods for the PC in the languages BASIC, FORTRAN and Pascal. Tomsk; MP "Rasco", 272.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2014 Дмитрий Сергеевич Ягудин, Валерий Львович Хавин
This work is licensed under a Creative Commons Attribution 4.0 International License.
The consolidation and conditions for the transfer of copyright (identification of authorship) is carried out in the License Agreement. In particular, the authors reserve the right to the authorship of their manuscript and transfer the first publication of this work to the journal under the terms of the Creative Commons CC BY license. At the same time, they have the right to conclude on their own additional agreements concerning the non-exclusive distribution of the work in the form in which it was published by this journal, but provided that the link to the first publication of the article in this journal is preserved.
A license agreement is a document in which the author warrants that he/she owns all copyright for the work (manuscript, article, etc.).
The authors, signing the License Agreement with TECHNOLOGY CENTER PC, have all rights to the further use of their work, provided that they link to our edition in which the work was published.
According to the terms of the License Agreement, the Publisher TECHNOLOGY CENTER PC does not take away your copyrights and receives permission from the authors to use and dissemination of the publication through the world's scientific resources (own electronic resources, scientometric databases, repositories, libraries, etc.).
In the absence of a signed License Agreement or in the absence of this agreement of identifiers allowing to identify the identity of the author, the editors have no right to work with the manuscript.
It is important to remember that there is another type of agreement between authors and publishers – when copyright is transferred from the authors to the publisher. In this case, the authors lose ownership of their work and may not use it in any way.
