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Finite element analysis of dynamic stability of bearingless rotor
作者姓名:WEI Li-jun  LI Shu  LI Xue-chang
作者单位:School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China;School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China;School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China
基金项目: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.

关 键 词:bearingless  rotor  dynamic  stability  finite  element  method  spline  interpolation  eigenvalue  analysis
收稿时间:2013/3/12 0:00:00

Finite element analysis of dynamic stability of bearingless rotor
WEI Li-jun,LI Shu,LI Xue-chang.Finite element analysis of dynamic stability of bearingless rotor[J].Journal of Aerospace Power,2014,29(5):1112-1121.
Authors:WEI Li-jun  LI Shu and LI Xue-chang
Institution:School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China;School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China;School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China
Abstract: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.
Keywords:bearingless rotor  dynamic stability  finite element method  spline interpolation  eigenvalue analysis
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