Non-linear aeroelastic analysis using the point transformation method. Part 1: Freeplay model

Journal of Sound and Vibration

Volumn 253, Issue 2, 2002, Pages 447-469

  Liu, L ^a   Wong, Y S ^a   Lee, B H K ^b  

^a UNIVERSITY OF ALBERTA   (Canada)

^b NATIONAL RESEARCH COUNCIL CANADA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

AIRFOILS; CHAOS THEORY; DESCRIBING FUNCTIONS; HARMONIC ANALYSIS; INTEGRATION; INTEGRODIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; NONLINEAR EQUATIONS; WINGS;

FREEPLAY MODEL; NONLINEAR AEROELASTIC ANALYSIS; POINT TRANSFORMATION METHOD;

FLUTTER (AERODYNAMICS);

EID: 0037004226     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.2001.4064     Document Type: Article

References (16)

1. H. Alighanbari and S. J. Price 1996 Nonlinear Dynamics 10, 381-400. The post- Hopf-bifurcation response of an airfoil in incompressible two-dimensional flow.
2. E. J. Breitbach 1980 NASA TP 1620. Flutter analysis of an airplane with multiple structural nonlinearities in the control system.
3. S. J. Price, H. Alighanbari and B. H. K. Lee 1995 Journal of Fluids and Structures 9, 175-193. The aeroelastic response of a two-dimensional airfoil with bilinear and cubic structural nonlinearities.
4. S. J. Price, B. H. K. Lee and H. Alighanbari 1994 Journal of Aircraft 31, 1395-1401. Post instability behavior of a two-dimensional airfoil with a structural nonlinearity.
5. S. F. Shen 1959 Journal of Aerospace Science 26, 25-32. An approximate analysis of nonlinear flutter problems.
6. B. H. K. Lee, S. J. Price and Y. S. Wong 1999 Progress in Aerospace Sciences 35, 205-334. Nonlinear aeroelastic analysis of airfoils: bifurcation and chaos.
7. L. Liu, Y. S. Wong and B. H. K. Lee 2000 Journal of Sound and Vibration 234, 641-659. Application of the centre manifold theory in nonlinear aeroelasticity.
8. L. Liu, Y. S. Wong and B. H. K. Lee 2002 Journal of Sound and Vibration 253, Nonlinear aeroelastic analysis using the point transformation method, Part 2: hysteresis model.
9. B. H. K. Lee and J. Desrochers 1987 Aeronautical Report LR-618, NRC No. 27833, National Research Council of Canada. Flutter analysis of a two-dimensional airfoil containing structural nonlinearities.
10. M. D. Conner, D. M. Tang, E. H. Dowell and L. N. Virgin 1997 Journal of Fluids and Structures 11, 89-109. Nonlinear behavior of a typical airfoil section with control surface freeplay: a numerical and experimental study.
11. D. M. Tang and E. H. Dowell 1992 Journal of Aircraft 29, 953-960. Flutter and stall response of a helicopter blade with structural nonlinearity.
12. L. Liu 2001 Ph. D. Dissertation, University of Alberta, Edmonton, AB, Canada. Mathematical analysis of nonlinear aeroelasticity.
13. W. B. Lin and W. H. Cheng 1993 Journal of the Chinese Society of Mechanical Engineers 14, 446-466. Nonlinear flutter of loaded lifting surfaces (I) and (II).
14. L. Liu, Y. S. Wong and B. H. K. Lee 2002 International Journal of Numerical Methods in Engineering, to be published. Error analysis of Runge-Kutta's discretizations of certain types of dynamic systems.
15. A. A. Andronov, A. A. Vitt and S. E. Khaikin 1966 Theory of Oscillators. Reading Massachusetts: Addison-Wesley Publishing Company Inc.
16. Y. C. Fung 1955 An Introduction to the Theory of Aeroelasticity. New York: Dover Publications Inc.