Research On Dynamics Of Rotor System In Flexible Shaft

The dynamic property matrix's analyticexpressions of the dynamics of multi-body flexible about rotor and 3-D flexible beam element in three states: centrosymmetry, noncentrosymmetry and noncentroasymmetric have been present in this paper with considering the mass of shaft and torsion deformation, combining finite element method and Lagrange equation, and utilizing the dynamics of flexible multi-body system analysis method. By assembling the rotor and 3-D beam, the dynamic control equation of flexible rotor system in three states and its analyticexpressions of coefficient matrix are developed. Various methods about the solution of dynamical control equation of flexible rotor-system are discussed. Using a kind of new numerical algorithm to solve the responses of the previous flexible rotor system successfully, to emulate these equations and give related dynamic response curves, on the basis of which some comparisons and analysis have been reached as well. These emulations indicate the validity of this model and dynamical control equations, providing necessary theoretic foundation for the control and analysis of flexible rotor system, having an important theoretic significance.