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| A symplectic method for the coupling vibration of elastic beams in the revolution system |
| Revised:April 17, 2002 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20046120 |
| KeyWord:duality system,symplectic space,coupling vibration,revolution beam |
| Ma Guojun,Xu Xinsheng~*,Guo Xinglin pment and Department of Engineering Mechanics,Dalian University of Technology,Dalian 116024,China) |
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| Abstract: |
| The problem of the coupling vibration of elastic beams in the revolution system is studied in the present paper. A symplectic method is established by introducing a duality system. In symplectic system, coupling control equations of longitudinal and transverse vibrations, i.e. Hamiltonian duality equations, are described. The intrinsic frequency and correlated model are obtained. Some phenomena and rules of the coupling vibration of the rotating beams are revealed between transformations of the mode shapes of various orders. It is also found that natural frequencies are firstly increased then decreased concerning the angular velocities. |
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