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| Dynamics modeling and numerical simulation for a rigid-flexible coup ling multibody system |
| Revised:December 18, 2001 |
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| DOI：10.7511/jslx20034077 |
| KeyWord:rigid flexible coupling,multibody system dynamics,mathematical model,FEM,numerical simulation,air damping |
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| Abstract: |
| The traditional hybrid coordinate model of flexible m ultibody system is considered as a zero order approximate dynamic model due to its neglect of the high order coupling deformation kinematics. This a pproach fails to account for dynamic stiffening and may lead to erroneous re sults in some high speed cases. This paper presents a finite element model for a multibody system consisting of a rotating hub and a flexible beam with a tip m ass. The corresponding dynamics models of the viscous damping and air resistance are developed in a consistent manner. Based on the deformation theory and geome tric constraints, the longitudinal deformation due to the transverse deflection is t aken into account and the effect of dynamic stiffening is captured. This mod el is different from the model for dynamic stiffening problem in that the la rge overall motion of the reference frame of the beam is not prescribed and is a ffected by elastic deformation. A numerical example is given in the end, which i s more general than the well know n example for dynamic stiffening. This example illustrates not only the defic iency of the zero order approximate dynamic model more profoundly, but also the validity of the proposed model. |
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