Dynamic Analysis of Flexible Rotor Based on Transfer Symplectic Matrix
Joint Authors
Wu, Huachun
Deng, Hao
Fang, Xi
Ding, Yiming
Yu, Jinghu
Zhang, Xiaoyu
Li, Hong
Liu, Chenwei
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-09-09
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
In view of the numerical instability and low accuracy of the traditional transfer matrix method in solving the high-order critical speed of the rotor system, a new idea of incorporating the finite element method into the transfer matrix is proposed.
Based on the variational principle, the transfer symplectic matrix of gyro rotors suitable for all kinds of boundary conditions and supporting conditions under the Hamilton system is derived by introducing dual variables.
To verify the proposed method in rotor critical speed, a numerical analysis is adopted.
The simulation experiment results show that, in the calculation of high-order critical speed, especially when exceeding the sixth critical speed, the numerical accuracy of the transfer symplectic matrix method is obviously better than that of the reference method.
The relative errors between the numerical solution and the exact solution are 0.0347% and 0.2228%, respectively, at the sixth critical speed.
The numerical example indicates the feasibility and superiority of the method, which provides the basis for the optimal design of the rotor system.
American Psychological Association (APA)
Deng, Hao& Fang, Xi& Wu, Huachun& Ding, Yiming& Yu, Jinghu& Zhang, Xiaoyu…[et al.]. 2019. Dynamic Analysis of Flexible Rotor Based on Transfer Symplectic Matrix. Shock and Vibration،Vol. 2019, no. 2019, pp.1-11.
https://search.emarefa.net/detail/BIM-1211674
Modern Language Association (MLA)
Deng, Hao…[et al.]. Dynamic Analysis of Flexible Rotor Based on Transfer Symplectic Matrix. Shock and Vibration No. 2019 (2019), pp.1-11.
https://search.emarefa.net/detail/BIM-1211674
American Medical Association (AMA)
Deng, Hao& Fang, Xi& Wu, Huachun& Ding, Yiming& Yu, Jinghu& Zhang, Xiaoyu…[et al.]. Dynamic Analysis of Flexible Rotor Based on Transfer Symplectic Matrix. Shock and Vibration. 2019. Vol. 2019, no. 2019, pp.1-11.
https://search.emarefa.net/detail/BIM-1211674
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1211674