Modelling and analysis of nonlinear dynamics of rigid-flexible coupled structures

Abstract

In the rigid-flexible coupled structure, the coupling between the elastic deformation motion of the flexible structure and the wide range of the rigid body motion will make the dynamic behaviour of the structure more complicated. This paper established a class of rigid body structures with flexible attachments as a rigid body-cantilever beam coupling model. The nonlinear dynamic equations of the structure are established by taking the dynamic stiffening into consideration. The dynamic responses of the structures are obtained by numerical simulations. The results show that the transverse vibration frequency of the flexible beam increases with the increase of the angular velocity of the rigid body. Moreover, there will be a significant difference between the two results obtained by the linear dynamics model (LM) and the nonlinear dynamics model (NM) in certain situations due to the effect of the dynamic stiffness term.