Study on Simplified Model and Numerical Solution of High-Speed Angular Contact Ball Bearing
For the calculation model of high-speed angular contact bearing has many variables, the large root difference exists, and the Newton iterative method solving the convergence depends on the initial value problems; thus, the simplified calculation model is proposed and the algorithm is improved. First...
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| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2020/8843524 |
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| _version_ | 1849308959164334080 |
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| author | Guang Zeng Chunjiang Zhao Xiaokai Yu Biao Sun Zhigang Xiao Qiang Bian Bingyang Liu |
| author_facet | Guang Zeng Chunjiang Zhao Xiaokai Yu Biao Sun Zhigang Xiao Qiang Bian Bingyang Liu |
| author_sort | Guang Zeng |
| collection | DOAJ |
| description | For the calculation model of high-speed angular contact bearing has many variables, the large root difference exists, and the Newton iterative method solving the convergence depends on the initial value problems; thus, the simplified calculation model is proposed and the algorithm is improved. Firstly, based on the nonlinear equations of variables recurrence method of the high-speed angular contact ball bearing calculation model, it is proved that the ultimate fundamental variables of calculation model are the actual inner and outer contact angles, the axial and radial deformations. According to this reason, the nonlinear equations are deformed and deduced, and the number of equations is reduced from 4Z + 2 to 2Z + 2 (Z represents the number of rolling bodies); a simplified calculation model is formed. Secondly, according to the small dependence of the artificial bee colony algorithm on the initial value, an improved artificial bee colony algorithm is proposed for the large root difference characteristics of high-speed ball bearings. The validity of the improved algorithm is verified by standard test function. The algorithm is used to solve the high-speed angular contact ball bearing calculation model. Finally, the deformations of high-speed angular contact ball bearings are compared and verified by experiments, and the results of improved algorithm show good agreement with the experiments results. |
| format | Article |
| id | doaj-art-0bdbcf50148a4b839231e54ebc7e9332 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-0bdbcf50148a4b839231e54ebc7e93322025-08-20T03:54:19ZengWileyShock and Vibration1070-96221875-92032020-01-01202010.1155/2020/88435248843524Study on Simplified Model and Numerical Solution of High-Speed Angular Contact Ball BearingGuang Zeng0Chunjiang Zhao1Xiaokai Yu2Biao Sun3Zhigang Xiao4Qiang Bian5Bingyang Liu6School of Mechanical Engineering and Engineering Research Center of Heavy Machinery Ministry of Education, Taiyuan University of Science and Technology, Taiyuan 030024, ChinaSchool of Mechanical Engineering and Engineering Research Center of Heavy Machinery Ministry of Education, Taiyuan University of Science and Technology, Taiyuan 030024, ChinaDepartment of Product Development, Luoyang Bearing Science and Technology Co., Ltd.,, Luoyang 471000, ChinaSchool of Mechanical Engineering and Engineering Research Center of Heavy Machinery Ministry of Education, Taiyuan University of Science and Technology, Taiyuan 030024, ChinaSchool of Mechanical Engineering and Engineering Research Center of Heavy Machinery Ministry of Education, Taiyuan University of Science and Technology, Taiyuan 030024, ChinaSchool of Mechanical Engineering and Engineering Research Center of Heavy Machinery Ministry of Education, Taiyuan University of Science and Technology, Taiyuan 030024, ChinaSchool of Mechanical Engineering and Engineering Research Center of Heavy Machinery Ministry of Education, Taiyuan University of Science and Technology, Taiyuan 030024, ChinaFor the calculation model of high-speed angular contact bearing has many variables, the large root difference exists, and the Newton iterative method solving the convergence depends on the initial value problems; thus, the simplified calculation model is proposed and the algorithm is improved. Firstly, based on the nonlinear equations of variables recurrence method of the high-speed angular contact ball bearing calculation model, it is proved that the ultimate fundamental variables of calculation model are the actual inner and outer contact angles, the axial and radial deformations. According to this reason, the nonlinear equations are deformed and deduced, and the number of equations is reduced from 4Z + 2 to 2Z + 2 (Z represents the number of rolling bodies); a simplified calculation model is formed. Secondly, according to the small dependence of the artificial bee colony algorithm on the initial value, an improved artificial bee colony algorithm is proposed for the large root difference characteristics of high-speed ball bearings. The validity of the improved algorithm is verified by standard test function. The algorithm is used to solve the high-speed angular contact ball bearing calculation model. Finally, the deformations of high-speed angular contact ball bearings are compared and verified by experiments, and the results of improved algorithm show good agreement with the experiments results.http://dx.doi.org/10.1155/2020/8843524 |
| spellingShingle | Guang Zeng Chunjiang Zhao Xiaokai Yu Biao Sun Zhigang Xiao Qiang Bian Bingyang Liu Study on Simplified Model and Numerical Solution of High-Speed Angular Contact Ball Bearing Shock and Vibration |
| title | Study on Simplified Model and Numerical Solution of High-Speed Angular Contact Ball Bearing |
| title_full | Study on Simplified Model and Numerical Solution of High-Speed Angular Contact Ball Bearing |
| title_fullStr | Study on Simplified Model and Numerical Solution of High-Speed Angular Contact Ball Bearing |
| title_full_unstemmed | Study on Simplified Model and Numerical Solution of High-Speed Angular Contact Ball Bearing |
| title_short | Study on Simplified Model and Numerical Solution of High-Speed Angular Contact Ball Bearing |
| title_sort | study on simplified model and numerical solution of high speed angular contact ball bearing |
| url | http://dx.doi.org/10.1155/2020/8843524 |
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