Application of bifurcation methods to nonlinear flight dynamics problems

Abstract Applications of global stability and bifurcational analysis methods are presented for different nonlinear flight dynamics problems, such as roll-coupling, stall, spin, etc. Based on the results for different real aircraft, F-4, F-14, F-15, High Incidence Research Model, (HIRM), the general methods developed by many authors are presented. The outline of basic concepts and methods from dynamcal system theory are also introduced.

[1]  W. M. Adams.  Analytic prediction of airplane equilibrium spin characteristics , 1972 .

[2]  Mikhail Goman,et al.  State-Space Representation of Aerodynamic Characteristics of an Aircraft at High Angles of Attack , 1994 .

[3]  G. Iooss,et al.  Topics in bifurcation theory and applications , 1999 .

[4]  W. H. Phillips,et al.  Effect of steady rolling on longitudinal and directional stability , 1948 .

[5]  James Planeaux,et al.  Bifurcation analysis of a model fighter aircraft with control augmentation , 1990 .

[6]  G. T. Chapman,et al.  Nonlinear problems in flight dynamics , 1984 .

[7]  Milan Kubíček,et al.  Book-Review - Computational Methods in Bifurcation Theory and Dissipative Structures , 1983 .

[8]  M. B. Tischler,et al.  Determination of the Spin and Recovery Characteristics of a General Aviation Design , 1981 .

[9]  R. Mehra,et al.  BISTAB: A portable bifurcation and stability analysis package , 1984 .

[10]  L.O. Chua,et al.  INSITE—A software toolkit for the analysis of nonlinear dynamical systems , 1987, Proceedings of the IEEE.

[11]  P. Holmes,et al.  Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields , 1983, Applied Mathematical Sciences.

[12]  C. Pan,et al.  A systematic search method for obtaining multiple solutions of simultaneous nonlinear equations , 1975 .

[13]  René Thom,et al.  Structural stability and morphogenesis , 1977, Pattern Recognit..

[14]  Thomas Barth,et al.  High-angle-of-attack dynamic behavior of a model high-performance fighter aircraft , 1988 .

[15]  Robert Gilmore,et al.  Catastrophe Theory for Scientists and Engineers , 1981 .

[16]  M. Lowenberg.  Optimizing the use of multiple control effectors using bifurcation analysis , 1994 .

[17]  I. H. Öğüş,et al.  NATO ASI Series , 1997 .

[18]  G. Sell,et al.  The Hopf Bifurcation and Its Applications , 1976 .

[19]  Michael A. Malcolm,et al.  Computer methods for mathematical computations , 1977 .

[20]  T. Hacker,et al.  A discussion of the roll-coupling problem , 1974 .

[21]  Felix F. Wu,et al.  Stability regions of nonlinear autonomous dynamical systems , 1988 .

[22]  Bernard Etkin,et al.  Dynamics of Atmospheric Flight , 1972 .

[23]  Ph. Guicheteau,et al.  Bifurcation theory in flight dynamics An application to a real combat aircraft , 1990 .

[24]  Craig Charles Jahnke.  Application of Dynamical Systems Theory to Nonlinear Aircraft Dynamics , 1990 .

[25]  John W. Young,et al.  Pseudosteady state analysis of nonlinear aircraft maneuvers , 1980 .

[26]  G. Iooss,et al.  Elementary stability and bifurcation theory , 1980 .

[27]  Raman K. Mehra,et al.  BIFURCATION ANALYSIS OF AIRCRAFT HIGH ANGLE-OF-ATTACK FLIGHT DYNAMICS , 1980 .

[28]  Ordway B. Gates.  Note on a Criterion for Severity of Roll-Induced Instability , 1959 .

[29]  Polina S. Landa,et al.  Stochastic and Chaotic Oscillations , 1992 .

[30]  Layne T. Watson,et al.  Algorithm 652: HOMPACK: a suite of codes for globally convergent homotopy algorithms , 1987, TOMS.

[31]  A. Vicino,et al.  On the estimation of asymptotic stability regions: State of the art and new proposals , 1985 .

[32]  Raman K. Mehra,et al.  Bifurcation Analysis of Nonlinear Aircraft Dynamics , 1982 .