Bifurcation and Chaos Prediction in Nonlinear Gear Systems
The homoclinic bifurcation and transition to chaos in gear systems are studied both analytically and numerically. Applying Melnikov analytical method, the threshold values for the occurrence of chaotic motion are obtained. The influence of system parameters on the character of vibration is studied....
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2014/809739 |
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| _version_ | 1832554615640424448 |
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| author | Anooshirvan Farshidianfar Amin Saghafi |
| author_facet | Anooshirvan Farshidianfar Amin Saghafi |
| author_sort | Anooshirvan Farshidianfar |
| collection | DOAJ |
| description | The homoclinic bifurcation and transition to chaos in gear systems are studied both analytically and numerically. Applying Melnikov analytical method, the threshold values for the occurrence of chaotic motion are obtained. The influence of system parameters on the character of vibration is studied. The numerical simulation of the system including bifurcation diagram, phase plane portraits, Fourier spectra, and time histories is considered to confirm the analytical predictions for the occurrence of homoclinic bifurcation and chaos in nonlinear gear systems. |
| format | Article |
| id | doaj-art-1733b6cdf00e46e0a5ba9386cfceba15 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-1733b6cdf00e46e0a5ba9386cfceba152025-02-03T05:50:53ZengWileyShock and Vibration1070-96221875-92032014-01-01201410.1155/2014/809739809739Bifurcation and Chaos Prediction in Nonlinear Gear SystemsAnooshirvan Farshidianfar0Amin Saghafi1Mechanical Engineering Department, Ferdowsi University of Mashhad, Mashhad, IranMechanical Engineering Department, Ferdowsi University of Mashhad, Mashhad, IranThe homoclinic bifurcation and transition to chaos in gear systems are studied both analytically and numerically. Applying Melnikov analytical method, the threshold values for the occurrence of chaotic motion are obtained. The influence of system parameters on the character of vibration is studied. The numerical simulation of the system including bifurcation diagram, phase plane portraits, Fourier spectra, and time histories is considered to confirm the analytical predictions for the occurrence of homoclinic bifurcation and chaos in nonlinear gear systems.http://dx.doi.org/10.1155/2014/809739 |
| spellingShingle | Anooshirvan Farshidianfar Amin Saghafi Bifurcation and Chaos Prediction in Nonlinear Gear Systems Shock and Vibration |
| title | Bifurcation and Chaos Prediction in Nonlinear Gear Systems |
| title_full | Bifurcation and Chaos Prediction in Nonlinear Gear Systems |
| title_fullStr | Bifurcation and Chaos Prediction in Nonlinear Gear Systems |
| title_full_unstemmed | Bifurcation and Chaos Prediction in Nonlinear Gear Systems |
| title_short | Bifurcation and Chaos Prediction in Nonlinear Gear Systems |
| title_sort | bifurcation and chaos prediction in nonlinear gear systems |
| url | http://dx.doi.org/10.1155/2014/809739 |
| work_keys_str_mv | AT anooshirvanfarshidianfar bifurcationandchaospredictioninnonlineargearsystems AT aminsaghafi bifurcationandchaospredictioninnonlineargearsystems |