Simplified stability criteria for nonconserva-tive dynamical systems with application to wing flutter

Oscillations of a purely gyrostatic system with two degrees of freedom are constituted by elliptic precessions rotating in opposite directions. Addition of nonconservative forces feeds power into one of them, generating instability. The effect of damping provides a stability condition whose advantage and simplicity over Routh's criterion is indicated. À gyroscopic analog model has been built and is described. Application to wing flutter is briefly discussed. Generalization to n degrees of freedom is immediate. The theory involves second order perturbation.Biot Maurice Anthony. Simplified stability criteria for nonconserva-tive dynamical systems with application to wing flutter. In: Bulletin de la Classe des sciences, tome 71, 1985. pp. 53-62