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| Study on discretization model of coupling dynamics system consisting of hub-flxible beam |
| Received:June 22, 2007 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20093024 |
| KeyWord:rigid-flexible coupling system discretization FEM modal reduction |
| Author | Institution |
| 覃晓英 |
上海交通大学 工程力学系,上海 |
| 洪嘉振 |
上海交通大学 工程力学系,上海 |
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| Abstract: |
| In this thesis, discretization model of rigid-flexible coupling dynamics systems is studied. Modeling theory of rigid-flexible coupling dynamics systems has been studied for dozens of years. The accurate rigid-flexible coupling dynamics model has been established and corresponding governing equation of motions has been acquired. The equation is nonlinear, time dependent and strong coupling, so it is scarcely possible to acquire the exact analytical solution. Discretization is necessary to get the numerical solution. Finite-element-method (FEM) is widely used. While the number of generalized coordinates for the complex FMS by using the FEM is large, the mode-reduction-method (MRM) is more effective. It means that only lower order modes of the beam without large overall motions are chosen to reduce the number of the generalized coordinates. While the boundary conditions of the complex FMS don’t usually fit a standard description. It is necessary to prove whether the classic mode-shape function effectively simulates the rigid-flexible coupling dynamics systems or not. In view of the issue mentioned above, this paper studies the feasibility and validity of using the classic mode-shape function to simulate the rigid-flexible coupling dynamics system and analyse the effectivity of different boundary condition mode-shape function. Then the rule of MRM of a hub-beam system is gained. The analysis above proves the validity of MRM and gets the procedure of MRM. |
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