Dynamic Analysis of Flexible Rotor Based on Transfer Symplectic Matrix
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 s...
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| Main Authors: | , , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2019/9154272 |
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| _version_ | 1832556040690860032 |
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| author | Hao Deng Xi Fang Huachun Wu Yiming Ding Jinghu Yu Xiaoyu Zhang Hong Li Chenwei Liu |
| author_facet | Hao Deng Xi Fang Huachun Wu Yiming Ding Jinghu Yu Xiaoyu Zhang Hong Li Chenwei Liu |
| author_sort | Hao Deng |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-0ba1db2379f249e09730c72b6377d871 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-0ba1db2379f249e09730c72b6377d8712025-02-03T05:46:31ZengWileyShock and Vibration1070-96221875-92032019-01-01201910.1155/2019/91542729154272Dynamic Analysis of Flexible Rotor Based on Transfer Symplectic MatrixHao Deng0Xi Fang1Huachun Wu2Yiming Ding3Jinghu Yu4Xiaoyu Zhang5Hong Li6Chenwei Liu7School of Science, Wuhan University of Technology, Wuhan 430070, ChinaSchool of Science, Wuhan University of Technology, Wuhan 430070, ChinaSchool of Mechanical and Electronic Engineering, Wuhan University of Technology, Wuhan 430070, ChinaSchool of Science, Wuhan University of Technology, Wuhan 430070, ChinaSchool of Science, Wuhan University of Technology, Wuhan 430070, ChinaSchool of Science, Wuhan University of Technology, Wuhan 430070, ChinaOrdnance NCO Academy, Army Engineering University of PLA, Wuhan 430075, ChinaMidea Group Wuhan Refrigeration Equipment Co., Ltd., Wuhan, Hubei 43005, ChinaIn 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.http://dx.doi.org/10.1155/2019/9154272 |
| spellingShingle | Hao Deng Xi Fang Huachun Wu Yiming Ding Jinghu Yu Xiaoyu Zhang Hong Li Chenwei Liu Dynamic Analysis of Flexible Rotor Based on Transfer Symplectic Matrix Shock and Vibration |
| title | Dynamic Analysis of Flexible Rotor Based on Transfer Symplectic Matrix |
| title_full | Dynamic Analysis of Flexible Rotor Based on Transfer Symplectic Matrix |
| title_fullStr | Dynamic Analysis of Flexible Rotor Based on Transfer Symplectic Matrix |
| title_full_unstemmed | Dynamic Analysis of Flexible Rotor Based on Transfer Symplectic Matrix |
| title_short | Dynamic Analysis of Flexible Rotor Based on Transfer Symplectic Matrix |
| title_sort | dynamic analysis of flexible rotor based on transfer symplectic matrix |
| url | http://dx.doi.org/10.1155/2019/9154272 |
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