A Suggestion as to a General Derivation of the Equations of Motion of a Deformable Aircraft for Small Perturbations which will be most Generally Acceptable.

摘要

A general derivation of the equations of motion of a deformable aircraft for small perturbations is offered which it is hoped will be acceptable to all traditions and inclinations. The deformations are represented by an expression which is precisely linear in the generalised coordinates. Lagrange's equation for an arbitrary non-inertial frame is used, along with the principles of momentum, and it is shown how the resulting equations of motion can be particularised to suit various tastes. An Appendix considers to some extent the determination of the phugoid and shows that the traditional structural dynamicist's approach is just as adequate as that of the flight dynamicist. (Author)