Nonlinear Dynamics of the High-Speed Rotating Plate
High speed rotating blades are crucial components of modern large aircraft engines. The rotating blades under working condition frequently suffer from the aerodynamic, elastic and inertia loads, which may lead to large amplitude nonlinear oscillations. This paper investigates nonlinear dynamic respo...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | International Journal of Aerospace Engineering |
| Online Access: | http://dx.doi.org/10.1155/2018/5610915 |
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| _version_ | 1832550272841285632 |
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| author | Minghui Yao Li Ma Wei Zhang |
| author_facet | Minghui Yao Li Ma Wei Zhang |
| author_sort | Minghui Yao |
| collection | DOAJ |
| description | High speed rotating blades are crucial components of modern large aircraft engines. The rotating blades under working condition frequently suffer from the aerodynamic, elastic and inertia loads, which may lead to large amplitude nonlinear oscillations. This paper investigates nonlinear dynamic responses of the blade with varying rotating speed in supersonic airflow. The blade is simplified as a pre-twist and presetting cantilever composite plate. Warping effect of the rectangular cross-section of the plate is considered. Based on the first-order shear deformation theory and von-Karman nonlinear geometric relationship, nonlinear partial differential dynamic equations of motion for the plate are derived by using Hamilton’s principle. Galerkin approach is applied to discretize the partial differential governing equations of motion to ordinary differential equations. Asymptotic perturbation method is exploited to derive four-degree-of-freedom averaged equation for the case of 1 : 3 internal resonance-1/2 sub-harmonic resonance. Based on the averaged equation, numerical simulation is used to analyze the influence of the perturbation rotating speed on nonlinear dynamic responses of the blade. Bifurcation diagram, phase portraits, waveforms and power spectrum prove that periodic motion and chaotic motion exist in nonlinear vibration of the rotating cantilever composite plate. |
| format | Article |
| id | doaj-art-5240d5a345d64ecb8d4cb15dae382c13 |
| institution | Kabale University |
| issn | 1687-5966 1687-5974 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Aerospace Engineering |
| spelling | doaj-art-5240d5a345d64ecb8d4cb15dae382c132025-02-03T06:07:16ZengWileyInternational Journal of Aerospace Engineering1687-59661687-59742018-01-01201810.1155/2018/56109155610915Nonlinear Dynamics of the High-Speed Rotating PlateMinghui Yao0Li Ma1Wei Zhang2Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, ChinaBeijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, ChinaBeijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, ChinaHigh speed rotating blades are crucial components of modern large aircraft engines. The rotating blades under working condition frequently suffer from the aerodynamic, elastic and inertia loads, which may lead to large amplitude nonlinear oscillations. This paper investigates nonlinear dynamic responses of the blade with varying rotating speed in supersonic airflow. The blade is simplified as a pre-twist and presetting cantilever composite plate. Warping effect of the rectangular cross-section of the plate is considered. Based on the first-order shear deformation theory and von-Karman nonlinear geometric relationship, nonlinear partial differential dynamic equations of motion for the plate are derived by using Hamilton’s principle. Galerkin approach is applied to discretize the partial differential governing equations of motion to ordinary differential equations. Asymptotic perturbation method is exploited to derive four-degree-of-freedom averaged equation for the case of 1 : 3 internal resonance-1/2 sub-harmonic resonance. Based on the averaged equation, numerical simulation is used to analyze the influence of the perturbation rotating speed on nonlinear dynamic responses of the blade. Bifurcation diagram, phase portraits, waveforms and power spectrum prove that periodic motion and chaotic motion exist in nonlinear vibration of the rotating cantilever composite plate.http://dx.doi.org/10.1155/2018/5610915 |
| spellingShingle | Minghui Yao Li Ma Wei Zhang Nonlinear Dynamics of the High-Speed Rotating Plate International Journal of Aerospace Engineering |
| title | Nonlinear Dynamics of the High-Speed Rotating Plate |
| title_full | Nonlinear Dynamics of the High-Speed Rotating Plate |
| title_fullStr | Nonlinear Dynamics of the High-Speed Rotating Plate |
| title_full_unstemmed | Nonlinear Dynamics of the High-Speed Rotating Plate |
| title_short | Nonlinear Dynamics of the High-Speed Rotating Plate |
| title_sort | nonlinear dynamics of the high speed rotating plate |
| url | http://dx.doi.org/10.1155/2018/5610915 |
| work_keys_str_mv | AT minghuiyao nonlineardynamicsofthehighspeedrotatingplate AT lima nonlineardynamicsofthehighspeedrotatingplate AT weizhang nonlineardynamicsofthehighspeedrotatingplate |