Modeling unbalanced rotor system with continuous viscoelastic shaft by frequency-dependent shape function
A reduced-order dynamic model for an unbalanced rotor system is developed, taking the coupling between torsional and lateral vibrations into account. It is assumed that a shaft is regarded as a continuous viscoelastic shaft with unbalanced and small deformation properties. The equations of motion fo...
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| Published in | Journal of Central South University Vol. 20; no. 12; pp. 3421 - 3430 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
| Published |
Berlin/Heidelberg
Springer Berlin Heidelberg
01.12.2013
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| Subjects | |
| Online Access | Get full text |
| ISSN | 2095-2899 2227-5223 |
| DOI | 10.1007/s11771-013-1866-3 |
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| Abstract | A reduced-order dynamic model for an unbalanced rotor system is developed, taking the coupling between torsional and lateral vibrations into account. It is assumed that a shaft is regarded as a continuous viscoelastic shaft with unbalanced and small deformation properties. The equations of motion for the torsional and lateral vibrations are derived using Lagrange’s approach with the frequency-dependent shape function. The rotor torsional vibration is coupled with the lateral vibrations by unbalance elements in a way of excitations. Simulation and experiment results show clearly that the torsional vibration has strong impact on the rotor lateral vibrations, and it causes subharmonic and superharmonic excitations through unbalance elements, which leads to the superharmonic resonances in the lateral vibrations. This model with low-order and high accuracy is suitable for rotor dynamic analysis in real time simulation as well as for active vibration control syntheses. |
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| AbstractList | A reduced-order dynamic model for an unbalanced rotor system is developed, taking the coupling between torsional and lateral vibrations into account. It is assumed that a shaft is regarded as a continuous viscoelastic shaft with unbalanced and small deformation properties. The equations of motion for the torsional and lateral vibrations are derived using Lagrange’s approach with the frequency-dependent shape function. The rotor torsional vibration is coupled with the lateral vibrations by unbalance elements in a way of excitations. Simulation and experiment results show clearly that the torsional vibration has strong impact on the rotor lateral vibrations, and it causes subharmonic and superharmonic excitations through unbalance elements, which leads to the superharmonic resonances in the lateral vibrations. This model with low-order and high accuracy is suitable for rotor dynamic analysis in real time simulation as well as for active vibration control syntheses. |
| Author | Guo, Wei Wang, Shu-han Xu, Xiang-yang Li, Wen-yong Liu, Yan-fang |
| Author_xml | – sequence: 1 givenname: Shu-han surname: Wang fullname: Wang, Shu-han email: wsh@buaa.edu.cn organization: School of Transportation Science and Engineering, Beihang University – sequence: 2 givenname: Wei surname: Guo fullname: Guo, Wei organization: School of Transportation Science and Engineering, Beihang University – sequence: 3 givenname: Xiang-yang surname: Xu fullname: Xu, Xiang-yang organization: School of Transportation Science and Engineering, Beihang University – sequence: 4 givenname: Yan-fang surname: Liu fullname: Liu, Yan-fang organization: School of Transportation Science and Engineering, Beihang University – sequence: 5 givenname: Wen-yong surname: Li fullname: Li, Wen-yong organization: ITI GmbH |
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| Cites_doi | 10.1016/j.ymssp.2009.04.004 10.1115/1.2930358 10.1016/S0045-7825(01)00209-2 10.1002/zamm.19880681002 10.1016/j.jsv.2006.06.054 10.1016/j.jsv.2007.04.005 10.1007/s11771-011-0676-8 10.1243/1350650041323386 10.1115/1.3428101 10.2514/3.2874 10.1007/978-1-4471-3603-3 10.1002/andp.19093330403 10.1115/1.3269872 10.1007/s11771-008-0314-2 |
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| Keywords | torsional and lateral vibrations coupling distributed unbalance rotor shape function rotor dynamics |
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| Snippet | A reduced-order dynamic model for an unbalanced rotor system is developed, taking the coupling between torsional and lateral vibrations into account. It is... |
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| Title | Modeling unbalanced rotor system with continuous viscoelastic shaft by frequency-dependent shape function |
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