Continuous Rotor Dynamics of Multi-Disc and Multi-Span Rotor: A Theoretical and Numerical Investigation on the Continuous Model and Analytical Solution for Unbalance Responses
Continuous rotor dynamics remains stagnant. In this paper, aim at multi-span and multi-disc rotor-bearing system, the continuous rotor dynamic analysis method (CRDAM) is proposed. The force acting on the shaft by the rotating eccentric disc is simulated as a point force. The counterforce of bearing...
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| Format: | Article |
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MDPI AG
2022-04-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/12/9/4351 |
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| author | Aiming Wang Yujie Bi Yun Xia Xiaohan Cheng Jie Yang Guoying Meng |
| author_facet | Aiming Wang Yujie Bi Yun Xia Xiaohan Cheng Jie Yang Guoying Meng |
| author_sort | Aiming Wang |
| collection | DOAJ |
| description | Continuous rotor dynamics remains stagnant. In this paper, aim at multi-span and multi-disc rotor-bearing system, the continuous rotor dynamic analysis method (CRDAM) is proposed. The force acting on the shaft by the rotating eccentric disc is simulated as a point force. The counterforce of bearing is also considered as a point force. The shaft is considered free-ended. A continuous rotor dynamic model is obtained and an analytical solution is proposed to express the unbalance response as function of the position, unbalance, support stiffness and damping. The proposed method is validated by numerical experiments in which unbalance responses obtained by it are compared with that obtained by the two classical methods the finite element method (FEM) and Ricatti method. The results indicate that the proposed method is applicable to calculating unbalance response of multi-disc and multi-span rotor. Moreover, it is closer to FEM than Ricatti and can be applied to actual high speed rotors. Among the three methods, the calculating speed of Ricatti is the fastest, CRDAM is the second fastest and FEM is the slowest. The proposed method, which solves the forward problems of the continuous rotor dynamics for the multi-disc and multi-span rotors, can provide theoretical basis for further studies on inverse problems such as identification of rotor unbalance and bearing stiffness and damping coefficients without test runs and external excitations. |
| first_indexed | 2024-03-10T04:21:57Z |
| format | Article |
| id | doaj.art-6e4bc1c97820423b882b10dc41d0c5e1 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T04:21:57Z |
| publishDate | 2022-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-6e4bc1c97820423b882b10dc41d0c5e12023-11-23T07:47:49ZengMDPI AGApplied Sciences2076-34172022-04-01129435110.3390/app12094351Continuous Rotor Dynamics of Multi-Disc and Multi-Span Rotor: A Theoretical and Numerical Investigation on the Continuous Model and Analytical Solution for Unbalance ResponsesAiming Wang0Yujie Bi1Yun Xia2Xiaohan Cheng3Jie Yang4Guoying Meng5School of Mechanical Electronic & Information Engineering, China University of Mining & Technology (Beijing), Beijing 100083, ChinaSchool of Mechanics and Civil Engineering, China University of Mining & Technology (Beijing), Beijing 100083, ChinaSchool of Mechanical Electronic & Information Engineering, China University of Mining & Technology (Beijing), Beijing 100083, ChinaSchool of Mechanical Electronic & Information Engineering, China University of Mining & Technology (Beijing), Beijing 100083, ChinaSchool of Mechanical Electronic & Information Engineering, China University of Mining & Technology (Beijing), Beijing 100083, ChinaSchool of Mechanical Electronic & Information Engineering, China University of Mining & Technology (Beijing), Beijing 100083, ChinaContinuous rotor dynamics remains stagnant. In this paper, aim at multi-span and multi-disc rotor-bearing system, the continuous rotor dynamic analysis method (CRDAM) is proposed. The force acting on the shaft by the rotating eccentric disc is simulated as a point force. The counterforce of bearing is also considered as a point force. The shaft is considered free-ended. A continuous rotor dynamic model is obtained and an analytical solution is proposed to express the unbalance response as function of the position, unbalance, support stiffness and damping. The proposed method is validated by numerical experiments in which unbalance responses obtained by it are compared with that obtained by the two classical methods the finite element method (FEM) and Ricatti method. The results indicate that the proposed method is applicable to calculating unbalance response of multi-disc and multi-span rotor. Moreover, it is closer to FEM than Ricatti and can be applied to actual high speed rotors. Among the three methods, the calculating speed of Ricatti is the fastest, CRDAM is the second fastest and FEM is the slowest. The proposed method, which solves the forward problems of the continuous rotor dynamics for the multi-disc and multi-span rotors, can provide theoretical basis for further studies on inverse problems such as identification of rotor unbalance and bearing stiffness and damping coefficients without test runs and external excitations.https://www.mdpi.com/2076-3417/12/9/4351continuous rotor dynamicsmulti-span and multi-disc rotor-bearing systemcontinuous rotor dynamic analysis methodcontinuous rotor dynamic modelanalytical solution |
| spellingShingle | Aiming Wang Yujie Bi Yun Xia Xiaohan Cheng Jie Yang Guoying Meng Continuous Rotor Dynamics of Multi-Disc and Multi-Span Rotor: A Theoretical and Numerical Investigation on the Continuous Model and Analytical Solution for Unbalance Responses Applied Sciences continuous rotor dynamics multi-span and multi-disc rotor-bearing system continuous rotor dynamic analysis method continuous rotor dynamic model analytical solution |
| title | Continuous Rotor Dynamics of Multi-Disc and Multi-Span Rotor: A Theoretical and Numerical Investigation on the Continuous Model and Analytical Solution for Unbalance Responses |
| title_full | Continuous Rotor Dynamics of Multi-Disc and Multi-Span Rotor: A Theoretical and Numerical Investigation on the Continuous Model and Analytical Solution for Unbalance Responses |
| title_fullStr | Continuous Rotor Dynamics of Multi-Disc and Multi-Span Rotor: A Theoretical and Numerical Investigation on the Continuous Model and Analytical Solution for Unbalance Responses |
| title_full_unstemmed | Continuous Rotor Dynamics of Multi-Disc and Multi-Span Rotor: A Theoretical and Numerical Investigation on the Continuous Model and Analytical Solution for Unbalance Responses |
| title_short | Continuous Rotor Dynamics of Multi-Disc and Multi-Span Rotor: A Theoretical and Numerical Investigation on the Continuous Model and Analytical Solution for Unbalance Responses |
| title_sort | continuous rotor dynamics of multi disc and multi span rotor a theoretical and numerical investigation on the continuous model and analytical solution for unbalance responses |
| topic | continuous rotor dynamics multi-span and multi-disc rotor-bearing system continuous rotor dynamic analysis method continuous rotor dynamic model analytical solution |
| url | https://www.mdpi.com/2076-3417/12/9/4351 |
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