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| Dynamics modeling of the elastic beam undergoing large overall motion considering coupling effect in deformation |
| Revised:August 21, 2004 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20065112 |
| KeyWord:flexible beam,coupling,nonlinear,elastic rotation matrix |
| DENG Feng-yan HE Xing-suo LI Liang ZHANG Juan ZHAO Chun-yan |
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| Abstract: |
| A flexible beam undergoing large overall motions produces curved and twisted deformations.These deformations contribute to the second-order coupling terms of deformation in longitudinal and lateral displacement.Considering the second-order coupling terms of longitudinal deformation,an one-order coupling dynamic model can be obtained.In this paper,based on a geometrically exact nonlinear theory for curved and twisted flexible beam,the longitudinal extension,lateral and transversal deflections are taken into account to derive three-dimensional deformations.An elastic rotation matrix is employed to get the fully nonlinear model and then,the dynamic model and formulations can been implemented by modal function and Lagrange's equation.The new model includes more coupling terms.Then a rotating cantilever beam in three-dimensional space is investigated through numerical simulation.The simulation results of new model are different to one-order coupling dynamic model,when the beam is undergoing overall motions.The numerical comparison illustrates that the coupling terms can not be ignored,especially,when the spectrum of motion is increased. |
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