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

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)

The Fundamental Research Funds for the Central Universities

National Natural Science Foundation of China(10772013)

Aeronautical Science Foundation of China(20100251007)

详细信息

作者简介:
WEI Li-jun，E-mail：weilijun0318@126.com

中图分类号: V212.5
计量
- 文章访问数: 1148
- HTML浏览量: 3
- PDF量: 808
- 被引次数: 0
出版历程
- 收稿日期: 2013-03-12
- 刊出日期: 2014-05-28

Finite element analysis of dynamic stability of bearingless rotor

School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China

Funds:

National Hi-tech Research and Development Program of China(2012AA112201)

The Fundamental Research Funds for the Central Universities

National Natural Science Foundation of China(10772013)

Aeronautical Science Foundation of China(20100251007)

摘要

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.
- bearingless rotor /
- dynamic stability /
- finite element method /
- spline interpolation /
- eigenvalue analysis
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.
- bearingless rotor /
- dynamic stability /
- finite element method /
- spline interpolation /
- eigenvalue analysis

HTML

参考文献(18)

[1]	ZHANG Xiaogu.Helicopter dynamics design[M].Beijing:Aviation Industry Press, 1995:74-79.(in Chinese)
[2]	Friedmann P P.Rotory-wing aeroelastica historical perspective and some current trends[R].Norfolk, Virginia:44th AIAA/ASME/ASCE/AHS Structures, Structural Dynamics, and Materials Conference, 2003.
[3]	Fridemann P P.Rotory-wing aeroelastic:current status and future trends[J].AIAA Journal, 2004, 42(10):1953-1972.
[4]	Murty A V, Raman A.Non-linear dynamic analysis of rotors by finite element methods[J].Journal of Sound and Vibration, 1980, 69(4):559-568.
[5]	Friedmann P P, Straub F K.Application of the finite element method to rotary wing aeroelasticity[J].Journal of the American Helicopter Society, 1980, 25(3):36-44.
[6]	Straub F K, Friedmann P P.A galerkin type finite element for rotary-wing aeroelastic[J].Hover and Forward Flight, 1981, 5(5):75-98.
[7]	Sivaneri N T, Chopra I.Dynamic stability of a rotor blade using finite element analysis[J].AIAA Journal, 1982, 20(5):716-723.
[8]	Sivaneri N T, Chopra I.Finite element analysis for bearingless rotor blade aeroelasticity[J].Journal of American Helicopter Society, 1984, 29(2):42-51.
[9]	Sivaneri N T.Aeroelastic stability of rotor blades using finite element analysis[D].Palo Alto County, California:Stanford University, 1982.
[10]	Jinseok J, Chopra I.Ground and air resonance of bearingless rotors in hover[R].AIAA 87-0924, 1987.
[11]	Jinseok J.Ground and air resonance of bearingless rotors in hover and forward flight[D].Maryland:University of Maryland College Park, 1988.
[12]	Murthy V R, Shultz L A.Linear and nonlinear dynamic analysis of redundant load path bearingless rotor systems.NASA CR-197220, 1994.
[13]	WANG Yifeng, WANG Haowen, GAO Zheng.Dynamic modeling of helicopter rotor blades[J].Tsinghua Science and Technology, 2009, 14(suppl.2):84-88.(in Chinese)
[14]	In-Gyu L, In L.Aeroelastic analysis of bearingless rotors with a composite flexbeam[J].Composite Structure, 2009, 88:570-578.
[15]	Hodges D H, Dowell E H.Nonlinear equations of motion for elastic bending and torsion of twisted nonuniform Blades.NASA TN D-7818, 1974.
[16]	Fung Y C.An introduction to the theory of aeroelasticity[M].New York:Dover Publication, 1969.
[17]	LI Qingyang, WANG Nengchao, YI Dayi.Numerical analysis[M].4th ed.Beijing:Tsinghua University Press, 2001:51-55.(in Chinese)
[18]	Hodges D H, Ormiston R A.Stability of elastic bending and torsion of uniform cantilever rotor blades in hover with variable structural coupling.NASA TN D-8192, 1976.