Dynamic Analysis Of A Rotating Flexible Disk-Rigid Shaft System

In this paper , a model of a rotating system of elastic plate- rigid shaft with elastic supported is established, the effects of elastic deformation of disk under exterior loading (along the axis, with the same gravity as disk)and elastic supported on the response of the system are mainly considered, at the same time, some assumptions are made: Disk is not eccentric; excluding internal resistance and external resistance of flexible rotor system; excluding the gravity and the initial static deflection of rotor system, on this basis, dynamic analysis method of flexible multi-body system is used, finite element method and Lagrange equations are combined, elastic plate is divided into three plate units, the dynamic equations of plate unit and rigid shaft of this system are set up, the analysis formula of coefficient matrix about the dynamical control equations is derived, thus by combining the rigid shaft and the plate element ,the dynamical control equation of the whole rotor system and its analysis formula of coefficient matrix are developed. To use Baumgarte constraint violation stabilization method and difference scheme of Newmarkβto simulate the dynamical control equations of the rotor system, dynamic response curves of the systems are given and analyzed, simulation results validate the model and the correctness of derived dynamic equations, which not only provide the necessary theoretical foundation on the control of the flexible rotor system (especially the disk is flexible), but also has important theoretical significance.