The Impact Of Rotating Flexible Beam Dynamics And Wave Propagation

The impact dynamics of a rigid-flexible coupling system consisting of a rigid hub and a flexible beam is reported in this paper.A set of dynamic equations with the dynamic stiffening effects and impact-induced longitudinal waves was established by utilizing the subsystem method. The approach of assumed modes was used to describe the deformation of the beam, and subsequently the partial differential dynamic equations were changed to the form of ordinary differential equations. Based on the obtained dynamic equations, the generalized impulse-momentum equations with the equation involving coefficient of restitution were derived, and then were used to solve the dynamic response for impact.To validate the method presented in this paper, we give many examples of dynamic simulations, such as the hub-beam system involving impact with a horizontal rigid plane. The impact dynamics of rigid beam is quite different from flexible beam's. At the same time, beam's flexibility, impact-induced longitudinal waves and the dynamic stiffening effects have an impact on the dynamics model.The modeling procedure is very efficient and convenient. The coupling degrees of dynamic equations are lower than that of traditional methods. The procedure is applicable to a kind of rigid-flexible coupling system.