In this paper a complete unfolding of a codimension two bifurcation due to a double-zero eigenvalue of the equations of pitching motion of a double-wedge airfoil is carried out. The critical parameter values along with various parameters related to stiffness derivatives and damping derivatives are tabulated for a thin airfoil for a range of Mach numbers. Both local and global bifurcations of the trivial and nontrivial fixed points and uniqueness of limit cycles are determined.
ASJC Scopus subject areas
- Control and Systems Engineering
- Aerospace Engineering
- Space and Planetary Science
- Electrical and Electronic Engineering
- Applied Mathematics