A high dimensional harmonic balance approach for an aeroelastic airfoil with cubic restoring forces

被引:59
|
作者
Liu, L. [1 ]
Dowell, E. H.
Thomas, J. P.
机构
[1] Univ Texas Pan Amer, Dept Math, Edinburg, TX 78541 USA
[2] Duke Univ, Dept Mech Engn & Mat Sci, Durham, NC 27708 USA
关键词
high dimensional harmonic balance method; airfoil; cubic nonlinearity; secondary bifurcation; limit cycle oscillations;
D O I
10.1016/j.jfluidstructs.2006.09.005
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
This is a study of a two-dimensional airfoil including a cubic spring stiffness placed in an incompressible flow. A new formulation of the harmonic balance method is employed for the aeroelastic airfoil to investigate the amplitude and frequency of the limit cycle oscillations. The results are compared with the results from the classical harmonic balance approach and from the conventional time marching integration method. (C) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码:351 / 363
页数:13
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  • [1] A higher order harmonic balance approach for an aeroelastic airfoil with a freeplay control surface
    Amuyedo, N.
    Cooper, J. E.
    [J]. Proceedings of ISMA2006: International Conference on Noise and Vibration Engineering, Vols 1-8, 2006, : 3729 - 3743
  • [2] A fast harmonic balance technique for periodic oscillations of an aeroelastic airfoil
    Dai, Honghua
    Yue, Xiaokui
    Yuan, Jianping
    Xie, Dan
    [J]. JOURNAL OF FLUIDS AND STRUCTURES, 2014, 50 : 231 - 252
  • [3] Airfoil motion in subsonic flow with strong cubic nonlinear restoring forces
    Lee, BHK
    Liu, L
    Chung, KW
    [J]. JOURNAL OF SOUND AND VIBRATION, 2005, 281 (3-5) : 699 - 717
  • [4] Bifurcation analysis of airfoil in subsonic flow with coupled cubic restoring forces
    Lee, B. H. K.
    Liu, L.
    [J]. JOURNAL OF AIRCRAFT, 2006, 43 (03): : 652 - 659
  • [5] High Dimensional Harmonic Balance Analysis for Dynamic Piecewise Aeroelastic Systems
    Liu, Liping
    Dowell, Earl H.
    [J]. IMECE 2008: MECHANICS OF SOLIDS, STRUCTURES AND FLUIDS, VOL 12, 2009, : 659 - 669
  • [6] THE AEROELASTIC RESPONSE OF A 2-DIMENSIONAL AIRFOIL WITH BILINEAR AND CUBIC STRUCTURAL NONLINEARITIES
    PRICE, SJ
    ALIGHANBARI, H
    LEE, BHK
    [J]. JOURNAL OF FLUIDS AND STRUCTURES, 1995, 9 (02) : 175 - 193
  • [7] Harmonic balance approach for an airfoil with a freeplay control surface
    Liu, LP
    Dowell, EH
    [J]. AIAA JOURNAL, 2005, 43 (04) : 802 - 815
  • [9] Quasi-periodic aeroelastic response analysis of an airfoil with external store by incremental harmonic balance method
    Liu, G.
    Lv, Z. R.
    Liu, J. K.
    Chen, Y. M.
    [J]. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2018, 100 : 10 - 19
  • [10] A Modified Incremental Harmonic Balance Method for 2-DOF Airfoil Aeroelastic Systems with Nonsmooth Structural Nonlinearities
    Ni, Ying-Ge
    Zhang, Wei
    Lv, Yi
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2020, 2020