IN-FLIGHT DYNAMICS OF A FLEXIBLE MISSILE,
TRW SPACE TECHNOLOGY LABS LOS ANGELES CALIF
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Equations are derived for the motion of a missile in a plane, including bending, sloshing, engine swiveling, axial acceleration, and aerodynamics. The bending and sloshing are treated by means of combined bending-sloshing modes in which the first slosh mode in each tank is represented by an equivalent lateral spring-mass system. Also included are equations for the moment and shear in the missile expressed in terms of a psuedo-static moment and shear plus correction terms which account for the dynamic over-shoot of the bending-sloshing modes.