Suppression of Complex Hysteretic Resonances in Varying Compliance Vibration of a Ball Bearing
It is traditionally considered that, due to the Hertzian contact force-deformation relationship, the stiffness of rolling bearings has stiffening characteristics, and gradually researchers find that the supporting characteristics of the system may stiffen, soften, and even coexist from them. The res...
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| Main Authors: | , , , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2020/8825902 |
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| _version_ | 1832547808116211712 |
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| author | Zhiyong Zhang Thomas Sattel Aditya Suryadi Tan Xiaoting Rui Shaopu Yang Rui Yang Yongheng Ying Xuan Li |
| author_facet | Zhiyong Zhang Thomas Sattel Aditya Suryadi Tan Xiaoting Rui Shaopu Yang Rui Yang Yongheng Ying Xuan Li |
| author_sort | Zhiyong Zhang |
| collection | DOAJ |
| description | It is traditionally considered that, due to the Hertzian contact force-deformation relationship, the stiffness of rolling bearings has stiffening characteristics, and gradually researchers find that the supporting characteristics of the system may stiffen, soften, and even coexist from them. The resonant hysteresis affects the stability and safety of the system, and its jumping effect can make an impact on the system. However, the ball bearing contains many nonlinearities such as the Hertzian contact between the rolling elements and raceways, bearing clearance, and time-varying compliances (VC), leading great difficulties to clarify the dynamical mechanism of resonant hysteresis of the system. With the aid of the harmonic balance and alternating frequency/time domain (HB-AFT) method and Floquet theory, this paper will investigate the hysteretic characteristics of the Hertzian contact resonances of a ball bearing system under VC excitations. Moreover, the linearized dynamic bearing stiffness of the system will be presented for assessing the locations of VC resonances, and the nonlinear characteristics of bearing stiffness will also be discussed in depth. Our analysis indicates that the system possesses many types of VC resonances such as the primary, internal, superharmonic, and even combination resonances, and the evolutions of these resonances are presented. Finally, the suppression of resonances and hysteresis of the system will be proposed by adjusting the bearing clearance. |
| format | Article |
| id | doaj-art-ca774b89d7d6458bbe4bd6a47f4e596e |
| 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-ca774b89d7d6458bbe4bd6a47f4e596e2025-02-03T06:43:26ZengWileyShock and Vibration1070-96221875-92032020-01-01202010.1155/2020/88259028825902Suppression of Complex Hysteretic Resonances in Varying Compliance Vibration of a Ball BearingZhiyong Zhang0Thomas Sattel1Aditya Suryadi Tan2Xiaoting Rui3Shaopu Yang4Rui Yang5Yongheng Ying6Xuan Li7School of Science, Nanjing University of Science and Technology, Nanjing 210094, ChinaMechatronics Group, Department of Mechanical Engineering, Ilmenau University of Technology, 98684 Ilmenau, GermanyMechatronics Group, Department of Mechanical Engineering, Ilmenau University of Technology, 98684 Ilmenau, GermanyInstitute of Launch Dynamics, Nanjing University of Science and Technology, Nanjing 210094, ChinaState Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures, Shijiazhuang Tiedao University, Shijiazhuang 050043, ChinaSchool of Science, Nanjing University of Science and Technology, Nanjing 210094, ChinaSchool of Science, Nanjing University of Science and Technology, Nanjing 210094, ChinaSchool of Science, Nanjing University of Science and Technology, Nanjing 210094, ChinaIt is traditionally considered that, due to the Hertzian contact force-deformation relationship, the stiffness of rolling bearings has stiffening characteristics, and gradually researchers find that the supporting characteristics of the system may stiffen, soften, and even coexist from them. The resonant hysteresis affects the stability and safety of the system, and its jumping effect can make an impact on the system. However, the ball bearing contains many nonlinearities such as the Hertzian contact between the rolling elements and raceways, bearing clearance, and time-varying compliances (VC), leading great difficulties to clarify the dynamical mechanism of resonant hysteresis of the system. With the aid of the harmonic balance and alternating frequency/time domain (HB-AFT) method and Floquet theory, this paper will investigate the hysteretic characteristics of the Hertzian contact resonances of a ball bearing system under VC excitations. Moreover, the linearized dynamic bearing stiffness of the system will be presented for assessing the locations of VC resonances, and the nonlinear characteristics of bearing stiffness will also be discussed in depth. Our analysis indicates that the system possesses many types of VC resonances such as the primary, internal, superharmonic, and even combination resonances, and the evolutions of these resonances are presented. Finally, the suppression of resonances and hysteresis of the system will be proposed by adjusting the bearing clearance.http://dx.doi.org/10.1155/2020/8825902 |
| spellingShingle | Zhiyong Zhang Thomas Sattel Aditya Suryadi Tan Xiaoting Rui Shaopu Yang Rui Yang Yongheng Ying Xuan Li Suppression of Complex Hysteretic Resonances in Varying Compliance Vibration of a Ball Bearing Shock and Vibration |
| title | Suppression of Complex Hysteretic Resonances in Varying Compliance Vibration of a Ball Bearing |
| title_full | Suppression of Complex Hysteretic Resonances in Varying Compliance Vibration of a Ball Bearing |
| title_fullStr | Suppression of Complex Hysteretic Resonances in Varying Compliance Vibration of a Ball Bearing |
| title_full_unstemmed | Suppression of Complex Hysteretic Resonances in Varying Compliance Vibration of a Ball Bearing |
| title_short | Suppression of Complex Hysteretic Resonances in Varying Compliance Vibration of a Ball Bearing |
| title_sort | suppression of complex hysteretic resonances in varying compliance vibration of a ball bearing |
| url | http://dx.doi.org/10.1155/2020/8825902 |
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