Nonlinear vibration analysis and stability analysis of rotor systems with multiple localized nonlinearities
This study proposes a methodology to analyze the nonlinear vibration characteristics of rotor systems with multiple localized nonlinearities adopting the Finite Element Method (FEM), free interface Component Mode Synthesis (CMS) method, and modified Incremental Harmonic Balance (IHB) method. The rot...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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AIP Publishing LLC
2022-12-01
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| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/5.0128600 |
| _version_ | 1828058383870066688 |
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| author | Tongil Choe Kwangchol Ri Cholil Yun Kumchol Kim Kwangchol Kim |
| author_facet | Tongil Choe Kwangchol Ri Cholil Yun Kumchol Kim Kwangchol Kim |
| author_sort | Tongil Choe |
| collection | DOAJ |
| description | This study proposes a methodology to analyze the nonlinear vibration characteristics of rotor systems with multiple localized nonlinearities adopting the Finite Element Method (FEM), free interface Component Mode Synthesis (CMS) method, and modified Incremental Harmonic Balance (IHB) method. The rotor system is supported by squeeze film dampers (SFDs) on both sides, and at the nodes of the SFD arrangement, strong local nonlinearities will appear due to fluid-film forces. The methodology to analyze the nonlinear vibration characteristics of the system by reducing the degree of freedom of the rotating system with multiple local nonlinear factors and combining with the IHB method is proposed for the first time in this paper. The FEM is used to write motion equations in components, and the CMS method is applied to reduce the degrees of freedom of linear components. The IHB method is used to solve the motion equations of the nonlinear system. The system has one linear component and two nonlinear components. For linear components, modal coordinates are used, and for nonlinear components, the original physical coordinate system is used. By synthesizing these three components, the motion equation of the whole system is created. In order to validate the effectiveness of the method, the results obtained by the proposed method are compared with the data in the published literature, and the system responses are considered when specific parameters are changed. The stability analysis of the calculated solutions is carried out using the Floquet theory. |
| first_indexed | 2024-04-10T21:26:22Z |
| format | Article |
| id | doaj.art-aadf2b311f7340119470b5df824649ff |
| institution | Directory Open Access Journal |
| issn | 2158-3226 |
| language | English |
| last_indexed | 2024-04-10T21:26:22Z |
| publishDate | 2022-12-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | AIP Advances |
| spelling | doaj.art-aadf2b311f7340119470b5df824649ff2023-01-19T16:47:09ZengAIP Publishing LLCAIP Advances2158-32262022-12-011212125004125004-1410.1063/5.0128600Nonlinear vibration analysis and stability analysis of rotor systems with multiple localized nonlinearitiesTongil Choe0Kwangchol Ri1Cholil Yun2Kumchol Kim3Kwangchol Kim4Mining Engineering Faculty, Kim Chaek University of Technology, Pyongyang 950003, Democratic People’s Republic of KoreaDepartment of Light Industry Machinery Engineering, Pyongyang University of Mechanical Engineering, Pyongyang 999093, Democratic People’s Republic of KoreaFaculty of Forest Science, Kim Il Sung University, Pyongyang 999093, Democratic People’s Republic of KoreaFaculty of Physical Engineering, Kim Chaek University of Technology, Pyongyang 999093, Democratic People’s Republic of KoreaInstitute of Mechanical Engineering, Academy of Sciences, Pyongyang 999093, Democratic People’s Republic of KoreaThis study proposes a methodology to analyze the nonlinear vibration characteristics of rotor systems with multiple localized nonlinearities adopting the Finite Element Method (FEM), free interface Component Mode Synthesis (CMS) method, and modified Incremental Harmonic Balance (IHB) method. The rotor system is supported by squeeze film dampers (SFDs) on both sides, and at the nodes of the SFD arrangement, strong local nonlinearities will appear due to fluid-film forces. The methodology to analyze the nonlinear vibration characteristics of the system by reducing the degree of freedom of the rotating system with multiple local nonlinear factors and combining with the IHB method is proposed for the first time in this paper. The FEM is used to write motion equations in components, and the CMS method is applied to reduce the degrees of freedom of linear components. The IHB method is used to solve the motion equations of the nonlinear system. The system has one linear component and two nonlinear components. For linear components, modal coordinates are used, and for nonlinear components, the original physical coordinate system is used. By synthesizing these three components, the motion equation of the whole system is created. In order to validate the effectiveness of the method, the results obtained by the proposed method are compared with the data in the published literature, and the system responses are considered when specific parameters are changed. The stability analysis of the calculated solutions is carried out using the Floquet theory.http://dx.doi.org/10.1063/5.0128600 |
| spellingShingle | Tongil Choe Kwangchol Ri Cholil Yun Kumchol Kim Kwangchol Kim Nonlinear vibration analysis and stability analysis of rotor systems with multiple localized nonlinearities AIP Advances |
| title | Nonlinear vibration analysis and stability analysis of rotor systems with multiple localized nonlinearities |
| title_full | Nonlinear vibration analysis and stability analysis of rotor systems with multiple localized nonlinearities |
| title_fullStr | Nonlinear vibration analysis and stability analysis of rotor systems with multiple localized nonlinearities |
| title_full_unstemmed | Nonlinear vibration analysis and stability analysis of rotor systems with multiple localized nonlinearities |
| title_short | Nonlinear vibration analysis and stability analysis of rotor systems with multiple localized nonlinearities |
| title_sort | nonlinear vibration analysis and stability analysis of rotor systems with multiple localized nonlinearities |
| url | http://dx.doi.org/10.1063/5.0128600 |
| work_keys_str_mv | AT tongilchoe nonlinearvibrationanalysisandstabilityanalysisofrotorsystemswithmultiplelocalizednonlinearities AT kwangcholri nonlinearvibrationanalysisandstabilityanalysisofrotorsystemswithmultiplelocalizednonlinearities AT cholilyun nonlinearvibrationanalysisandstabilityanalysisofrotorsystemswithmultiplelocalizednonlinearities AT kumcholkim nonlinearvibrationanalysisandstabilityanalysisofrotorsystemswithmultiplelocalizednonlinearities AT kwangcholkim nonlinearvibrationanalysisandstabilityanalysisofrotorsystemswithmultiplelocalizednonlinearities |