Couple-Stress Fluid Improves Dynamic Response of Gear-Pair System Supported by Journal Bearings
A systematic analysis of the dynamic behavior of a gear-bearing system with nonlinear suspension, couple-stress fluid flow effect, nonlinear oil-film force, and nonlinear gear mesh force is performed in the present study. The dynamic orbits of the system are observed using bifurcation diagrams plott...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/527878 |
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| author | Cai-Wan Chang-Jian Shiuh Ming Chang Hsieh-Chung Hsu |
| author_facet | Cai-Wan Chang-Jian Shiuh Ming Chang Hsieh-Chung Hsu |
| author_sort | Cai-Wan Chang-Jian |
| collection | DOAJ |
| description | A systematic analysis of the dynamic behavior of a gear-bearing system with nonlinear suspension, couple-stress fluid flow effect, nonlinear oil-film force, and nonlinear gear mesh force is performed in the present study. The dynamic orbits of the system are observed using bifurcation diagrams plotted using the dimensionless rotational speed ratio as a control parameter. The onset of chaotic motion is identified from the phase diagrams, power spectra, Poincaré maps, Lyapunov exponents and fractal dimension of the gear-bearing system. The numerical results reveal that the system exhibits a diverse range of periodic, subharmonic, quasiperiodic, and chaotic behaviors. The couple-stress fluid would be a useful lubricating fluid to suppress nonlinear dynamic responses and improve the steady of the systems. The results presented in this study provide some useful insights into the design and development of a gear-bearing system for rotating machinery that operates in highly rotational speed and highly nonlinear regimes. |
| format | Article |
| id | doaj-art-6d3763afd40b402da3084a9c0003df1a |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-6d3763afd40b402da3084a9c0003df1a2025-08-20T03:33:51ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/527878527878Couple-Stress Fluid Improves Dynamic Response of Gear-Pair System Supported by Journal BearingsCai-Wan Chang-Jian0Shiuh Ming Chang1Hsieh-Chung Hsu2Department of Mechanical and Automation Engineering, I-Shou University, 1, Section 1, Syuecheng Rood, Dashu District, Kaohsiung 84001, TaiwanDepartment of Mechanical and Automation Engineering, Kao Yuan University, Kaohsiung 82151, TaiwanDepartment of Mechanical and Automation Engineering, I-Shou University, 1, Section 1, Syuecheng Rood, Dashu District, Kaohsiung 84001, TaiwanA systematic analysis of the dynamic behavior of a gear-bearing system with nonlinear suspension, couple-stress fluid flow effect, nonlinear oil-film force, and nonlinear gear mesh force is performed in the present study. The dynamic orbits of the system are observed using bifurcation diagrams plotted using the dimensionless rotational speed ratio as a control parameter. The onset of chaotic motion is identified from the phase diagrams, power spectra, Poincaré maps, Lyapunov exponents and fractal dimension of the gear-bearing system. The numerical results reveal that the system exhibits a diverse range of periodic, subharmonic, quasiperiodic, and chaotic behaviors. The couple-stress fluid would be a useful lubricating fluid to suppress nonlinear dynamic responses and improve the steady of the systems. The results presented in this study provide some useful insights into the design and development of a gear-bearing system for rotating machinery that operates in highly rotational speed and highly nonlinear regimes.http://dx.doi.org/10.1155/2012/527878 |
| spellingShingle | Cai-Wan Chang-Jian Shiuh Ming Chang Hsieh-Chung Hsu Couple-Stress Fluid Improves Dynamic Response of Gear-Pair System Supported by Journal Bearings Journal of Applied Mathematics |
| title | Couple-Stress Fluid Improves Dynamic Response of Gear-Pair System Supported by Journal Bearings |
| title_full | Couple-Stress Fluid Improves Dynamic Response of Gear-Pair System Supported by Journal Bearings |
| title_fullStr | Couple-Stress Fluid Improves Dynamic Response of Gear-Pair System Supported by Journal Bearings |
| title_full_unstemmed | Couple-Stress Fluid Improves Dynamic Response of Gear-Pair System Supported by Journal Bearings |
| title_short | Couple-Stress Fluid Improves Dynamic Response of Gear-Pair System Supported by Journal Bearings |
| title_sort | couple stress fluid improves dynamic response of gear pair system supported by journal bearings |
| url | http://dx.doi.org/10.1155/2012/527878 |
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