Nonlinear Dynamics and Analysis of a Planar Multilink Complex Mechanism with Clearance
In order to understand the nonlinear dynamic behavior of a planar mechanism with clearance, the nonlinear dynamic model of the 2-DOF nine-bar mechanism with a revolute clearance is proposed; the dynamic response, phase diagrams, Poincaré portraits, and largest Lyapunov exponents (LLEs) of mechanism...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2018/6172676 |
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| _version_ | 1850163986353356800 |
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| author | Xiulong Chen Shuai Jiang Yu Deng Qing Wang |
| author_facet | Xiulong Chen Shuai Jiang Yu Deng Qing Wang |
| author_sort | Xiulong Chen |
| collection | DOAJ |
| description | In order to understand the nonlinear dynamic behavior of a planar mechanism with clearance, the nonlinear dynamic model of the 2-DOF nine-bar mechanism with a revolute clearance is proposed; the dynamic response, phase diagrams, Poincaré portraits, and largest Lyapunov exponents (LLEs) of mechanism are investigated. The nonlinear dynamic model of 2-DOF nine-bar mechanism containing a revolute clearance is established by using the Lagrange equation. Dynamic response of the slider’s kinematics characteristic, contact force, driving torque, shaft center trajectory, and the penetration depth for 2-DOF nine-bar mechanism are all analyzed. Chaos phenomenon existed in the mechanism has been identified by using the phase diagrams, the Poincaré portraits, and LLEs. The effects of the different clearance sizes, different friction coefficients, and different driving speeds on dynamic behavior are studied. Bifurcation diagrams with changing clearance value, friction coefficient, and driving speed are drawn. The research could provide important technical support and theoretical basis for the further study of the nonlinear dynamics of planar mechanism. |
| format | Article |
| id | doaj-art-f08c3bf32e6147aeb9d2db38b525fdea |
| institution | OA Journals |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-f08c3bf32e6147aeb9d2db38b525fdea2025-08-20T02:22:05ZengWileyShock and Vibration1070-96221875-92032018-01-01201810.1155/2018/61726766172676Nonlinear Dynamics and Analysis of a Planar Multilink Complex Mechanism with ClearanceXiulong Chen0Shuai Jiang1Yu Deng2Qing Wang3College of Mechanical and Electronic Engineering, Shandong University of Science and Technology, Qingdao 266590, ChinaCollege of Mechanical and Electronic Engineering, Shandong University of Science and Technology, Qingdao 266590, ChinaCollege of Mechanical and Electronic Engineering, Shandong University of Science and Technology, Qingdao 266590, ChinaInstitue of NanoEngineering, Shandong University of Science and Technology, Qingdao 266590, ChinaIn order to understand the nonlinear dynamic behavior of a planar mechanism with clearance, the nonlinear dynamic model of the 2-DOF nine-bar mechanism with a revolute clearance is proposed; the dynamic response, phase diagrams, Poincaré portraits, and largest Lyapunov exponents (LLEs) of mechanism are investigated. The nonlinear dynamic model of 2-DOF nine-bar mechanism containing a revolute clearance is established by using the Lagrange equation. Dynamic response of the slider’s kinematics characteristic, contact force, driving torque, shaft center trajectory, and the penetration depth for 2-DOF nine-bar mechanism are all analyzed. Chaos phenomenon existed in the mechanism has been identified by using the phase diagrams, the Poincaré portraits, and LLEs. The effects of the different clearance sizes, different friction coefficients, and different driving speeds on dynamic behavior are studied. Bifurcation diagrams with changing clearance value, friction coefficient, and driving speed are drawn. The research could provide important technical support and theoretical basis for the further study of the nonlinear dynamics of planar mechanism.http://dx.doi.org/10.1155/2018/6172676 |
| spellingShingle | Xiulong Chen Shuai Jiang Yu Deng Qing Wang Nonlinear Dynamics and Analysis of a Planar Multilink Complex Mechanism with Clearance Shock and Vibration |
| title | Nonlinear Dynamics and Analysis of a Planar Multilink Complex Mechanism with Clearance |
| title_full | Nonlinear Dynamics and Analysis of a Planar Multilink Complex Mechanism with Clearance |
| title_fullStr | Nonlinear Dynamics and Analysis of a Planar Multilink Complex Mechanism with Clearance |
| title_full_unstemmed | Nonlinear Dynamics and Analysis of a Planar Multilink Complex Mechanism with Clearance |
| title_short | Nonlinear Dynamics and Analysis of a Planar Multilink Complex Mechanism with Clearance |
| title_sort | nonlinear dynamics and analysis of a planar multilink complex mechanism with clearance |
| url | http://dx.doi.org/10.1155/2018/6172676 |
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