Research On Dynamics Of Rotor System-in Flexible Shaft

In this paper, on the basis of the model considering by synthesis the effect of rotating shaft mass , torsion deformation and the rigid disk width , by utilizing dynamics of flexible multibody system analysis method with combining finite element method and Lagrange equation the dynamical control equation of the rigid disk element with mass eccentricity and 3-D beam element are presented.The analysis formula of coefficient matrix about the dynamical control equation is also given.By combining rigid disk element and 3-D beam element the dynamical control equation of flexible rotor system and its analysis formula of coefficient matrix are developed.The dynamical equation of rotor system existing unbalance of static,dynamics,or the two separately is established.Various metods ,with which to solve dynamical control equation of flexible rotor system,are discussed.Moreover,the dynamical control equation of flexible rotor system is solved and analyzed by using Newmark method in numerical solution.The dynamical response curve of rotor system is also given and analyzed.Dynamical simulation shows that the model and dynamical control equation in this paper are correct and reasonable,which not only provide the control of flexible rotor system with necessary theoretic foundation, but also has important theoretic significance.