ON THE QUASI-LINEAR SUBSTITUTION METHOD FOR MISSILE MOTION CAUSED BY STRONGLY NONLINEAR STATIC MOMENT
Abstract
An improved quasi-linear substitution method is developed to treat properly the influence of a cubic static moment on the modal damping of a missile acted on by quite general nonlinear damping and Magnus moments. The predictions of this method are compared for various special cases with those of the more accurate but much more complicated perturbation method. The new quasi- linear theory predicts boundary curves for planar motion, almost circular motion and almost planar motion which are quite close to those of the perturbation theory. An original result of the theory is that all planar singular points for a nonspinning missile whose moment coef ficients are only functions of the total angle of attack are nodes. That is, almost planar motion with amplitude close to that of a stable planar limit motion will tend to that motion.
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1963
- Accession Number
- AD0410213
Entities
People
- Charles H. Murphy
Organizations
- Ballistic Research Laboratory