Bifurcations of a Controlled Two-Bar Linkage Motion with Considering Viscous Frictions
In this paper, we investigate the joint viscous friction effects on the motions of a two-bar linkage under controlling of OPCL. The dynamical model of the two-bar linkage with an OPCL controller is firstly set up with considering the two joints' viscous frictions. Thereafter, the motion bifurca...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.3233/SAV-2010-0571 |
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| _version_ | 1832550755341434880 |
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| author | Qingkai Han Xueyan Zhao Xingxiu Li Bangchun Wen |
| author_facet | Qingkai Han Xueyan Zhao Xingxiu Li Bangchun Wen |
| author_sort | Qingkai Han |
| collection | DOAJ |
| description | In this paper, we investigate the joint viscous friction effects on the motions of a two-bar linkage under controlling of OPCL. The dynamical model of the two-bar linkage with an OPCL controller is firstly set up with considering the two joints' viscous frictions. Thereafter, the motion bifurcations of the two-bar linkage along the values of joint viscous frictions are obtained using shooting method. Then, single-periodic, multiple-periodic, quasi-periodic and chaotic motions of link rotating angles are simulated with given different viscous friction values, and they are illustrated in time domain waveforms, phase space portraits, amplitude spectra and Poincare mapping graphs, respectively. Additionally, for the chaotic case, Lyapunov exponents and hypothesis possibilities of the two joint motions are also estimated. |
| format | Article |
| id | doaj-art-53c999f6ce0345909b8d5c196d112959 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-53c999f6ce0345909b8d5c196d1129592025-02-03T06:05:57ZengWileyShock and Vibration1070-96221875-92032011-01-01181-236537510.3233/SAV-2010-0571Bifurcations of a Controlled Two-Bar Linkage Motion with Considering Viscous FrictionsQingkai Han0Xueyan Zhao1Xingxiu Li2Bangchun Wen3School of Mechanical Engineering and Automation, Northeastern University, Shenyang, ChinaSchool of Mechanical Engineering and Automation, Northeastern University, Shenyang, ChinaSchool of Mechanical Engineering and Automation, Northeastern University, Shenyang, ChinaSchool of Mechanical Engineering and Automation, Northeastern University, Shenyang, ChinaIn this paper, we investigate the joint viscous friction effects on the motions of a two-bar linkage under controlling of OPCL. The dynamical model of the two-bar linkage with an OPCL controller is firstly set up with considering the two joints' viscous frictions. Thereafter, the motion bifurcations of the two-bar linkage along the values of joint viscous frictions are obtained using shooting method. Then, single-periodic, multiple-periodic, quasi-periodic and chaotic motions of link rotating angles are simulated with given different viscous friction values, and they are illustrated in time domain waveforms, phase space portraits, amplitude spectra and Poincare mapping graphs, respectively. Additionally, for the chaotic case, Lyapunov exponents and hypothesis possibilities of the two joint motions are also estimated.http://dx.doi.org/10.3233/SAV-2010-0571 |
| spellingShingle | Qingkai Han Xueyan Zhao Xingxiu Li Bangchun Wen Bifurcations of a Controlled Two-Bar Linkage Motion with Considering Viscous Frictions Shock and Vibration |
| title | Bifurcations of a Controlled Two-Bar Linkage Motion with Considering Viscous Frictions |
| title_full | Bifurcations of a Controlled Two-Bar Linkage Motion with Considering Viscous Frictions |
| title_fullStr | Bifurcations of a Controlled Two-Bar Linkage Motion with Considering Viscous Frictions |
| title_full_unstemmed | Bifurcations of a Controlled Two-Bar Linkage Motion with Considering Viscous Frictions |
| title_short | Bifurcations of a Controlled Two-Bar Linkage Motion with Considering Viscous Frictions |
| title_sort | bifurcations of a controlled two bar linkage motion with considering viscous frictions |
| url | http://dx.doi.org/10.3233/SAV-2010-0571 |
| work_keys_str_mv | AT qingkaihan bifurcationsofacontrolledtwobarlinkagemotionwithconsideringviscousfrictions AT xueyanzhao bifurcationsofacontrolledtwobarlinkagemotionwithconsideringviscousfrictions AT xingxiuli bifurcationsofacontrolledtwobarlinkagemotionwithconsideringviscousfrictions AT bangchunwen bifurcationsofacontrolledtwobarlinkagemotionwithconsideringviscousfrictions |