Finite element analysis of dynamic stability of bearingless rotor  

作　　者：WEI Li-jun LI Shu LI Xue-chang 

机构地区：[1]School of Aeronautic Science and Engineering,Beijing University of Aeronautics and Astronautics

出　　处：《航空动力学报》2014年第5期1112-1121,共10页Journal of Aerospace Power

基　　金：National Hi-tech Research and Development Program of China(2012AA112201);National Natural Science Foundation of China(10772013);The Fundamental Research Funds for the Central Universities;Aeronautical Science Foundation of China(20100251007)

摘　　要：Dynamic stability equations of bearingless rotor blades were investigated using a simplified model.The aerodynamic loads of blades were evaluated using two-dimensional airfoil theory.Perturbation equations were obtained by linearization of the perturbation.A normal-mode approach was used to transform the equations expressed by nodal degrees of freedom into equations expressed by modal degrees of freedom,which can reduce the dimension of the equations.The stability results of rotor blades were presented using eigenvalue analysis.The shape function matrix was obtained using spline interpolation,which simplified the analysis and made assembly of the inertial matrix,damping matrix,and stiffness matrix a simple mathematical summation.The results indicate that the method is efficient and greatly simplifies the analysis.Dynamic stability equations of bearingless rotor blades were investigated using a simplified model.The aerodynamic loads of blades were evaluated using two-dimensional airfoil theory.Perturbation equations were obtained by linearization of the perturbation.A normal-mode approach was used to transform the equations expressed by nodal degrees of freedom into equations expressed by modal degrees of freedom,which can reduce the dimension of the equations.The stability results of rotor blades were presented using eigenvalue analysis.The shape function matrix was obtained using spline interpolation,which simplified the analysis and made assembly of the inertial matrix,damping matrix,and stiffness matrix a simple mathematical summation.The results indicate that the method is efficient and greatly simplifies the analysis.

关 键 词：无轴承转子 动态稳定性 有限元法 样条插值 特征值分析 

分 类 号：V212.5[航空宇航科学与技术—航空宇航推进理论与工程]