Modeling Method and Inherent Characteristic Analysis of Cycloid Pin Gear Transmission
The cycloid pin wheel drive system is taken as the research object， and the nonlinear dynamics model of bending torsion coupling is established by using the method of concentrated mass. Considering the eccentric motion of cycloid and the influence of time-varying stiffness， backlash and transmission...
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Editorial Office of Journal of Mechanical Transmission
2021-04-01
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| Series: | Jixie chuandong |
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| Online Access: | http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2021.04.008 |
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| author | Xueping Song Aibin Bi Bowen Lu |
| author_facet | Xueping Song Aibin Bi Bowen Lu |
| author_sort | Xueping Song |
| collection | DOAJ |
| description | The cycloid pin wheel drive system is taken as the research object， and the nonlinear dynamics model of bending torsion coupling is established by using the method of concentrated mass. Considering the eccentric motion of cycloid and the influence of time-varying stiffness， backlash and transmission error of cycloid and pin gear， the differential equation of motion of the system is obtained by Lagrange method. According to the characteristics of positive semidefinite， variable parameters and strong nonlinearity of the system differential equation， the relative meshing displacement of the cycloid wheel and the pin wheel is taken as the generalized coordinate of the system. By using linear transformation， the equations are transformed into a unified matrix form， and the equations are dimensionless. The natural frequency and dimensionless frequency of the system are obtained by calculation， and the influencing factors of the natural frequency are analyzed. |
| format | Article |
| id | doaj-art-b9771aad5a8e4126ae8cdef2fb9efc9a |
| institution | Kabale University |
| issn | 1004-2539 |
| language | zho |
| publishDate | 2021-04-01 |
| publisher | Editorial Office of Journal of Mechanical Transmission |
| record_format | Article |
| series | Jixie chuandong |
| spelling | doaj-art-b9771aad5a8e4126ae8cdef2fb9efc9a2025-01-10T14:49:22ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392021-04-014546508813083Modeling Method and Inherent Characteristic Analysis of Cycloid Pin Gear TransmissionXueping SongAibin BiBowen LuThe cycloid pin wheel drive system is taken as the research object， and the nonlinear dynamics model of bending torsion coupling is established by using the method of concentrated mass. Considering the eccentric motion of cycloid and the influence of time-varying stiffness， backlash and transmission error of cycloid and pin gear， the differential equation of motion of the system is obtained by Lagrange method. According to the characteristics of positive semidefinite， variable parameters and strong nonlinearity of the system differential equation， the relative meshing displacement of the cycloid wheel and the pin wheel is taken as the generalized coordinate of the system. By using linear transformation， the equations are transformed into a unified matrix form， and the equations are dimensionless. The natural frequency and dimensionless frequency of the system are obtained by calculation， and the influencing factors of the natural frequency are analyzed.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2021.04.008Cycloid pin gear transmissionNonlinear dynamicsDimensionless processingNatural frequency |
| spellingShingle | Xueping Song Aibin Bi Bowen Lu Modeling Method and Inherent Characteristic Analysis of Cycloid Pin Gear Transmission Jixie chuandong Cycloid pin gear transmission Nonlinear dynamics Dimensionless processing Natural frequency |
| title | Modeling Method and Inherent Characteristic Analysis of Cycloid Pin Gear Transmission |
| title_full | Modeling Method and Inherent Characteristic Analysis of Cycloid Pin Gear Transmission |
| title_fullStr | Modeling Method and Inherent Characteristic Analysis of Cycloid Pin Gear Transmission |
| title_full_unstemmed | Modeling Method and Inherent Characteristic Analysis of Cycloid Pin Gear Transmission |
| title_short | Modeling Method and Inherent Characteristic Analysis of Cycloid Pin Gear Transmission |
| title_sort | modeling method and inherent characteristic analysis of cycloid pin gear transmission |
| topic | Cycloid pin gear transmission Nonlinear dynamics Dimensionless processing Natural frequency |
| url | http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2021.04.008 |
| work_keys_str_mv | AT xuepingsong modelingmethodandinherentcharacteristicanalysisofcycloidpingeartransmission AT aibinbi modelingmethodandinherentcharacteristicanalysisofcycloidpingeartransmission AT bowenlu modelingmethodandinherentcharacteristicanalysisofcycloidpingeartransmission |