The Nonsmooth Vibration of a Relative Rotation System with Backlash and Dry Friction
We investigate a relative rotation system with backlash and dry friction. Firstly, the corresponding nonsmooth characters are discussed by the differential inclusion theory, and the analytic conditions for stick and nonstick motions are developed to understand the motion switching mechanism. Based o...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2017/7064590 |
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| author | Minjia He Shuo Li Jinjin Wang Zhenjun Lin Shuang Liu |
| author_facet | Minjia He Shuo Li Jinjin Wang Zhenjun Lin Shuang Liu |
| author_sort | Minjia He |
| collection | DOAJ |
| description | We investigate a relative rotation system with backlash and dry friction. Firstly, the corresponding nonsmooth characters are discussed by the differential inclusion theory, and the analytic conditions for stick and nonstick motions are developed to understand the motion switching mechanism. Based on such analytic conditions of motion switching, the influence of the maximal static friction torque and the driving torque on the stick motion is studied. Moreover, the sliding time bifurcation diagrams, duty cycle figures, time history diagrams, and the K-function time history diagram are also presented, which confirm the analytic results. The methodology presented in this paper can be applied to predictions of motions in nonsmooth dynamical systems. |
| format | Article |
| id | doaj-art-35859d963d2b47ea9bade68a976e42a9 |
| institution | OA Journals |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-35859d963d2b47ea9bade68a976e42a92025-08-20T02:24:08ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2017-01-01201710.1155/2017/70645907064590The Nonsmooth Vibration of a Relative Rotation System with Backlash and Dry FrictionMinjia He0Shuo Li1Jinjin Wang2Zhenjun Lin3Shuang Liu4Liren College of Yanshan University, Qinhuangdao 066004, ChinaCollege of Electrical Engineering, Yanshan University, Qinhuangdao 066004, ChinaLiren College of Yanshan University, Qinhuangdao 066004, ChinaCollege of Electrical Engineering, Yanshan University, Qinhuangdao 066004, ChinaLiren College of Yanshan University, Qinhuangdao 066004, ChinaWe investigate a relative rotation system with backlash and dry friction. Firstly, the corresponding nonsmooth characters are discussed by the differential inclusion theory, and the analytic conditions for stick and nonstick motions are developed to understand the motion switching mechanism. Based on such analytic conditions of motion switching, the influence of the maximal static friction torque and the driving torque on the stick motion is studied. Moreover, the sliding time bifurcation diagrams, duty cycle figures, time history diagrams, and the K-function time history diagram are also presented, which confirm the analytic results. The methodology presented in this paper can be applied to predictions of motions in nonsmooth dynamical systems.http://dx.doi.org/10.1155/2017/7064590 |
| spellingShingle | Minjia He Shuo Li Jinjin Wang Zhenjun Lin Shuang Liu The Nonsmooth Vibration of a Relative Rotation System with Backlash and Dry Friction Discrete Dynamics in Nature and Society |
| title | The Nonsmooth Vibration of a Relative Rotation System with Backlash and Dry Friction |
| title_full | The Nonsmooth Vibration of a Relative Rotation System with Backlash and Dry Friction |
| title_fullStr | The Nonsmooth Vibration of a Relative Rotation System with Backlash and Dry Friction |
| title_full_unstemmed | The Nonsmooth Vibration of a Relative Rotation System with Backlash and Dry Friction |
| title_short | The Nonsmooth Vibration of a Relative Rotation System with Backlash and Dry Friction |
| title_sort | nonsmooth vibration of a relative rotation system with backlash and dry friction |
| url | http://dx.doi.org/10.1155/2017/7064590 |
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