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Volumn 45, Issue 3, 2008, Pages 893-905

Bifurcation analysis of aircraft with structural nonlinearity and freeplay using numerical continuation

Author keywords

[No Author keywords available]

Indexed keywords

AEROELASTICITY; AIRCRAFT; BIFURCATION (MATHEMATICS); COMPUTATIONAL EFFICIENCY; FORECASTING;

EID: 46449115781     PISSN: 00218669     EISSN: 15333868     Source Type: Journal    
DOI: 10.2514/1.28759     Document Type: Article
Times cited : (26)

References (32)
  • 1
    • 33947596339 scopus 로고    scopus 로고
    • Limit Cycle Oscillation Prediction for Aeroelastic Systems with Discrete Bilinear Stiffness
    • Vio, G. A., and Cooper, J. E., "Limit Cycle Oscillation Prediction for Aeroelastic Systems with Discrete Bilinear Stiffness," International Journal of Applied Mathematics and Mechanics, Vol. 1, No. 4, 2005, pp. 100-119.
    • (2005) International Journal of Applied Mathematics and Mechanics , vol.1 , Issue.4 , pp. 100-119
    • Vio, G.A.1    Cooper, J.E.2
  • 2
    • 0034224760 scopus 로고    scopus 로고
    • Application of the Centre Manifold Theory in Non-Linear Aeroelasticity
    • doi:10.1006/jsvi.1999.2895
    • Liu, L., Wong, Y. S., and Lee, B. H. K., "Application of the Centre Manifold Theory in Non-Linear Aeroelasticity," Journal of Sound and Vibration, Vol. 234, No. 4, 2000, pp. 641-659. doi:10.1006/jsvi.1999.2895
    • (2000) Journal of Sound and Vibration , vol.234 , Issue.4 , pp. 641-659
    • Liu, L.1    Wong, Y.S.2    Lee, B.H.K.3
  • 3
    • 0038194270 scopus 로고    scopus 로고
    • AUTO97-AUTO2000: Continuation and Bifurcation Software for Ordinary Differential Equations (with HomCont): User's Guide,
    • Concordia University, Montreal, Canada
    • Doedel, E. J., Champneys, A. R., Fairgrieve, T. F., Kuznetsov, Y. A., Sandstede, B., and Wang, X. J., "AUTO97-AUTO2000: Continuation and Bifurcation Software for Ordinary Differential Equations (with HomCont): User's Guide," Tech. Rept., Concordia University, Montreal, Canada, 1997-2000.
    • Tech. Rept , pp. 1997-2000
    • Doedel, E.J.1    Champneys, A.R.2    Fairgrieve, T.F.3    Kuznetsov, Y.A.4    Sandstede, B.5    Wang, X.J.6
  • 4
    • 8744230577 scopus 로고    scopus 로고
    • MATCONT: A Matlab Package for Numerical Bifurcation of ODEs
    • doi:10.1145/779359.779362
    • Govaerts, W., Dhooge, A., and Kuznetsov, Y. A., "MATCONT: A Matlab Package for Numerical Bifurcation of ODEs," ACM Transactions on Mathematical Software, Vol. 29, No. 2, 2003, pp. 141-164. doi:10.1145/779359.779362
    • (2003) ACM Transactions on Mathematical Software , vol.29 , Issue.2 , pp. 141-164
    • Govaerts, W.1    Dhooge, A.2    Kuznetsov, Y.A.3
  • 6
    • 7544238048 scopus 로고    scopus 로고
    • Studies of Store-Induced Limit-Cycle Oscillations Using a Model with Full System Nonlinearities
    • doi:10.1023/B:NODY.0000045544.96418.bf
    • Beran, P. S., Strganac, T. W., Kim, K., and Nichkawde, C., "Studies of Store-Induced Limit-Cycle Oscillations Using a Model with Full System Nonlinearities," Nonlinear Dynamics, Vol. 37, No. 4, 2004, pp. 323-339. doi:10.1023/B:NODY.0000045544.96418.bf
    • (2004) Nonlinear Dynamics , vol.37 , Issue.4 , pp. 323-339
    • Beran, P.S.1    Strganac, T.W.2    Kim, K.3    Nichkawde, C.4
  • 7
    • 0033719174 scopus 로고    scopus 로고
    • Numerical Continuation Applied to Panel Flutter
    • doi:10.1023/A:1008374401581
    • Gee, D. J., "Numerical Continuation Applied to Panel Flutter," Nonlinear Dynamics, Vol. 22, No. 3, 2000, pp. 271-280. doi:10.1023/A:1008374401581
    • (2000) Nonlinear Dynamics , vol.22 , Issue.3 , pp. 271-280
    • Gee, D.J.1
  • 9
    • 34548756071 scopus 로고    scopus 로고
    • Bifurcation Analysis and Limit Cycle Oscillation Amplitude Prediction Methods Applied to the Aeroelastic Galloping Problem
    • doi:10.1016/j.jfluidstructs.2007.03.006
    • Vio, G. A., Dimitriadis, G., and Cooper, J. E., "Bifurcation Analysis and Limit Cycle Oscillation Amplitude Prediction Methods Applied to the Aeroelastic Galloping Problem," Journal of Fluids and Structures, Vol. 23, No. 7, 2007, pp. 983-1011. doi:10.1016/j.jfluidstructs.2007.03.006
    • (2007) Journal of Fluids and Structures , vol.23 , Issue.7 , pp. 983-1011
    • Vio, G.A.1    Dimitriadis, G.2    Cooper, J.E.3
  • 10
    • 0021382437 scopus 로고
    • Characterization and Computation of Generalized Turning Points
    • doi:10.1137/0721012
    • Griewank, A., and Reddien, G. W., "Characterization and Computation of Generalized Turning Points," SIAM Journal on Numerical Analysis, Vol. 21, No. 1, 1984, pp. 176-185. doi:10.1137/0721012
    • (1984) SIAM Journal on Numerical Analysis , vol.21 , Issue.1 , pp. 176-185
    • Griewank, A.1    Reddien, G.W.2
  • 13
    • 84968510937 scopus 로고
    • A Class of Methods for Solving Nonlinear Simultaneous Equations
    • doi:10.2307/2003941
    • Broyden, C. G., "A Class of Methods for Solving Nonlinear Simultaneous Equations," Mathematics of Computation, Vol. 19, No. 92, 1965, pp. 577-593. doi:10.2307/2003941
    • (1965) Mathematics of Computation , vol.19 , Issue.92 , pp. 577-593
    • Broyden, C.G.1
  • 14
    • 0034501603 scopus 로고    scopus 로고
    • Numerical Bifurcation Analysis for ODEs
    • doi:10.1016/S0377-0427(00)00458-1
    • Govaerts, W., "Numerical Bifurcation Analysis for ODEs," Journal of Computational and Applied Mathenuxtics, Vol. 125, Nos. 1-2, 2000, pp. 57-68. doi:10.1016/S0377-0427(00)00458-1
    • (2000) Journal of Computational and Applied Mathenuxtics , vol.125 , Issue.1-2 , pp. 57-68
    • Govaerts, W.1
  • 15
    • 0034548105 scopus 로고    scopus 로고
    • Numerical Continuation Methods: A Perspective
    • doi:10.1016/S0377-0427(00)00428-3
    • Rheinboldt, W. C., "Numerical Continuation Methods: A Perspective," Journal of Computational and Applied Mathematics, Vol. 124, Nos. 1-2, 2000, pp. 229-244. doi:10.1016/S0377-0427(00)00428-3
    • (2000) Journal of Computational and Applied Mathematics , vol.124 , Issue.1-2 , pp. 229-244
    • Rheinboldt, W.C.1
  • 16
    • 0005037976 scopus 로고    scopus 로고
    • Phase Asymptotic Semiflows, Poincafe's Condition, and the Existence of Stable Limit Cycles
    • doi:10.1006/jdeq.1996.0018
    • Li, M. Y., and Muldowney, J. S., "Phase Asymptotic Semiflows, Poincafe's Condition, and the Existence of Stable Limit Cycles," Journal of Differential Equations, Vol. 124, No. 2, 1996, pp. 425-448. doi:10.1006/jdeq.1996.0018
    • (1996) Journal of Differential Equations , vol.124 , Issue.2 , pp. 425-448
    • Li, M.Y.1    Muldowney, J.S.2
  • 17
    • 0036645466 scopus 로고    scopus 로고
    • On the Numerical Continuation of Periodic Orbits
    • doi:10.1051/0004-6361:20020598
    • Lara, M., and Pelaez, J., "On the Numerical Continuation of Periodic Orbits," Astronomy and Astrophysics, Vol. 389, No. 2, 2002, pp. 692-701. doi:10.1051/0004-6361:20020598
    • (2002) Astronomy and Astrophysics , vol.389 , Issue.2 , pp. 692-701
    • Lara, M.1    Pelaez, J.2
  • 19
    • 0033115309 scopus 로고    scopus 로고
    • Nonlinear Aeroelastic Analysis of Airfoils: Bifurcation and Chaos
    • doi:10.1016/S0376-0421(98) 00015-3
    • Lee, B. H. K., Price, S. J., and Wong, Y. S., "Nonlinear Aeroelastic Analysis of Airfoils: Bifurcation and Chaos," Progress in Aerospace Sciences, Vol. 35, No. 3, 1999, pp. 205-334. doi:10.1016/S0376-0421(98) 00015-3
    • (1999) Progress in Aerospace Sciences , vol.35 , Issue.3 , pp. 205-334
    • Lee, B.H.K.1    Price, S.J.2    Wong, Y.S.3
  • 20
    • 0001990978 scopus 로고    scopus 로고
    • Flutter of an Airfoil with a Cubic Restoring Force
    • doi:10.1006/jfls.1998.0190
    • Lee, B. H. K., Jiang, L. Y., and Wong, Y. S., "Flutter of an Airfoil with a Cubic Restoring Force," Journal of Fluids and Structures, Vol. 13, No. 1, 1999, pp. 75-101. doi:10.1006/jfls.1998.0190
    • (1999) Journal of Fluids and Structures , vol.13 , Issue.1 , pp. 75-101
    • Lee, B.H.K.1    Jiang, L.Y.2    Wong, Y.S.3
  • 21
    • 0000969084 scopus 로고    scopus 로고
    • Limit Cycle Behaviour of an Airfoil with a Control Surface
    • doi:10.1006/jfls.1998.0174
    • Tang, D., Dowell, E. H., and Virgin, L. N., "Limit Cycle Behaviour of an Airfoil with a Control Surface," Journal of Fluids and Structures, Vol. 12, No. 7, 1998, pp. 839-858. doi:10.1006/jfls.1998.0174
    • (1998) Journal of Fluids and Structures , vol.12 , Issue.7 , pp. 839-858
    • Tang, D.1    Dowell, E.H.2    Virgin, L.N.3
  • 22
    • 18144402041 scopus 로고    scopus 로고
    • Harmonic Balance Approach for an Airfoil with a Freeplay Control Surface
    • Liu, L., and Dowell, E., "Harmonic Balance Approach for an Airfoil with a Freeplay Control Surface," AIAA Journal, Vol. 43, No. 4, 2005, pp. 802-815.
    • (2005) AIAA Journal , vol.43 , Issue.4 , pp. 802-815
    • Liu, L.1    Dowell, E.2
  • 23
    • 18144432133 scopus 로고    scopus 로고
    • Airfoil Pitch-and-Plunge Bifurcation Behavior with Fourier Chaos Expansions
    • Millman, D. R., King, P. I., and Beran, P. S., "Airfoil Pitch-and-Plunge Bifurcation Behavior with Fourier Chaos Expansions," Journal of Aircraft, Vol. 42, No. 2, 2005, pp. 376-384.
    • (2005) Journal of Aircraft , vol.42 , Issue.2 , pp. 376-384
    • Millman, D.R.1    King, P.I.2    Beran, P.S.3
  • 24
    • 28844466590 scopus 로고    scopus 로고
    • Robust Aeroelastic Match-Point Solutions Using Describing Function Method
    • Baldelli, D. H., Lind, R. C., and Brenner, M., "Robust Aeroelastic Match-Point Solutions Using Describing Function Method," Journal of Aircraft, Vol. 42, No. 6, 2005, pp. 1597-1605.
    • (2005) Journal of Aircraft , vol.42 , Issue.6 , pp. 1597-1605
    • Baldelli, D.H.1    Lind, R.C.2    Brenner, M.3
  • 25
    • 33847734062 scopus 로고    scopus 로고
    • Transient and Limit Cycle Simulation of a Nonlinear Aeroelastic System
    • doi:10.2514/1.21367
    • Marsden, C. C., and Price, S. J., "Transient and Limit Cycle Simulation of a Nonlinear Aeroelastic System," Journal of Aircraft, Vol. 44, No. 1, 2007, pp. 60-70. doi:10.2514/1.21367
    • (2007) Journal of Aircraft , vol.44 , Issue.1 , pp. 60-70
    • Marsden, C.C.1    Price, S.J.2
  • 26
    • 13444274398 scopus 로고    scopus 로고
    • Airfoil Motion in Subsonic Flow with Strong Cubic Nonlinear Restoring Forces
    • doi:10.1016/j.jsv.2004.01.034
    • Lee, B. H. K., Liu, L., and Chung, K. W., "Airfoil Motion in Subsonic Flow with Strong Cubic Nonlinear Restoring Forces," Journal of Sound and Vibration, Vol. 281, Nos. 3-5, 2005, pp. 699-717. doi:10.1016/j.jsv.2004.01.034
    • (2005) Journal of Sound and Vibration , vol.281 , Issue.3-5 , pp. 699-717
    • Lee, B.H.K.1    Liu, L.2    Chung, K.W.3
  • 27
    • 33746121490 scopus 로고    scopus 로고
    • Bifurcation Analysis of Airfoil in Subsonic Flow with Coupled Cubic Restoring Forces
    • Lee, B. H. K., and Liu, L., "Bifurcation Analysis of Airfoil in Subsonic Flow with Coupled Cubic Restoring Forces," Journal of Aircraft, Vol. 43, No. 3, 2006, pp. 652-659.
    • (2006) Journal of Aircraft , vol.43 , Issue.3 , pp. 652-659
    • Lee, B.H.K.1    Liu, L.2
  • 28
    • 85087100928 scopus 로고    scopus 로고
    • Continuation of Higher Order Harmonic Balance Solutions for Nonlinear Aeroelastic Systems
    • to be published
    • Dimitriadis, G., "Continuation of Higher Order Harmonic Balance Solutions for Nonlinear Aeroelastic Systems," Journal of Aircraft (to be published).
    • Journal of Aircraft
    • Dimitriadis, G.1
  • 30
    • 27144468706 scopus 로고    scopus 로고
    • Dynamic Response of Aeroservoelastic Systems to Gust Excitation
    • Karpel, M., Moulin, B., and Chen, P. C., "Dynamic Response of Aeroservoelastic Systems to Gust Excitation," Journal of Aircraft, Vol. 42, No. 5, 2005, pp. 1264-1272.
    • (2005) Journal of Aircraft , vol.42 , Issue.5 , pp. 1264-1272
    • Karpel, M.1    Moulin, B.2    Chen, P.C.3
  • 32
    • 0000260118 scopus 로고    scopus 로고
    • Large Scale Continuation and Numerical Bifurcation for Partial Differential Equations
    • doi:10.1137/S0036142994273288
    • Davidson, B., "Large Scale Continuation and Numerical Bifurcation for Partial Differential Equations," SIAM Journal on Numerical Anahsls, Vol. 34, No. 5, 1997, pp. 2008-2027. doi:10.1137/S0036142994273288
    • (1997) SIAM Journal on Numerical Anahsls , vol.34 , Issue.5 , pp. 2008-2027
    • Davidson, B.1


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