Nonlinear Dynamic Characteristics of Marine Rotor-Bearing System under Heaving Motion
In this paper, the influence of the heaving motion on the nonlinear dynamic behavior of the rotor-bearing system is considered. First, a mathematic model of the marine rotor-bearing system is developed on the short bearing theory in the noninertial reference system, in which the heaving motion is ta...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2019/7683952 |
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| _version_ | 1849686111861866496 |
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| author | Yongchao Han Ming Li |
| author_facet | Yongchao Han Ming Li |
| author_sort | Yongchao Han |
| collection | DOAJ |
| description | In this paper, the influence of the heaving motion on the nonlinear dynamic behavior of the rotor-bearing system is considered. First, a mathematic model of the marine rotor-bearing system is developed on the short bearing theory in the noninertial reference system, in which the heaving motion is taken into account. Then its dynamic characteristics are analyzed based on the numerical integration method, such as the bifurcation diagram, the largest Lyapunov exponents (LLE), the steady-state response, and the rotor orbit and its Poincaré map. The results indicate that heaving motion has a great effect on the dynamics of the rotor system, which exhibits a period 1 motion at low rotating speed, with the increase of the rotating speed, the phenomena of the quasiperiodic, period 2, and double Hopf bifurcations appear. Its dynamic performance presents a period 1 motion, period 2, quasiperiodic, and chaotic oscillation. |
| format | Article |
| id | doaj-art-b8871d402e2347ef9547bdbb5e7a9ae7 |
| institution | DOAJ |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-b8871d402e2347ef9547bdbb5e7a9ae72025-08-20T03:22:49ZengWileyShock and Vibration1070-96221875-92032019-01-01201910.1155/2019/76839527683952Nonlinear Dynamic Characteristics of Marine Rotor-Bearing System under Heaving MotionYongchao Han0Ming Li1Department of Mechanics, Xi’an University of Science and Technology, Xi’an, 710054 Shaanxi, ChinaDepartment of Mechanics, Xi’an University of Science and Technology, Xi’an, 710054 Shaanxi, ChinaIn this paper, the influence of the heaving motion on the nonlinear dynamic behavior of the rotor-bearing system is considered. First, a mathematic model of the marine rotor-bearing system is developed on the short bearing theory in the noninertial reference system, in which the heaving motion is taken into account. Then its dynamic characteristics are analyzed based on the numerical integration method, such as the bifurcation diagram, the largest Lyapunov exponents (LLE), the steady-state response, and the rotor orbit and its Poincaré map. The results indicate that heaving motion has a great effect on the dynamics of the rotor system, which exhibits a period 1 motion at low rotating speed, with the increase of the rotating speed, the phenomena of the quasiperiodic, period 2, and double Hopf bifurcations appear. Its dynamic performance presents a period 1 motion, period 2, quasiperiodic, and chaotic oscillation.http://dx.doi.org/10.1155/2019/7683952 |
| spellingShingle | Yongchao Han Ming Li Nonlinear Dynamic Characteristics of Marine Rotor-Bearing System under Heaving Motion Shock and Vibration |
| title | Nonlinear Dynamic Characteristics of Marine Rotor-Bearing System under Heaving Motion |
| title_full | Nonlinear Dynamic Characteristics of Marine Rotor-Bearing System under Heaving Motion |
| title_fullStr | Nonlinear Dynamic Characteristics of Marine Rotor-Bearing System under Heaving Motion |
| title_full_unstemmed | Nonlinear Dynamic Characteristics of Marine Rotor-Bearing System under Heaving Motion |
| title_short | Nonlinear Dynamic Characteristics of Marine Rotor-Bearing System under Heaving Motion |
| title_sort | nonlinear dynamic characteristics of marine rotor bearing system under heaving motion |
| url | http://dx.doi.org/10.1155/2019/7683952 |
| work_keys_str_mv | AT yongchaohan nonlineardynamiccharacteristicsofmarinerotorbearingsystemunderheavingmotion AT mingli nonlineardynamiccharacteristicsofmarinerotorbearingsystemunderheavingmotion |