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MOMENTUM EQUATIONS FOR A FLEXIBLE BODY
PARTITIONED MATRIX FORM OF EQUATIONS OF MOTION
INTERPRETATION OF RESULTS
acting on body analyst angular rate angular velocity body equations body J(X body MO(m body X fixed body X relative center-of center-of-mass of body column matrix computation computationally constraint acting constraint torques contiguous bodies coupled body coupled rigid body deformed center-of-mass position displacement coordinate equation displacement vector elastic deformation equation 107 equation 136 equations of motion equivalence relations fixed in body flexible body model forces of constraint FT 0 M1 hinge point J(X)-1 hinge point X-1 independent state variables inertia tensor inertial origin inertial reference keSR left-hand side mode of vibration mode shapes Mode-dependent parameter modeling approach momentum of body momentum wheels nest k-1 nth normal mode partitioned matrix point masses position of body Position vector reference frame fixed relative motion right-hand side rigid body model rigid or flexible side of equation spring-connected rigid body symmetric wheel tensor of body total number Translation equation undeformed vector from hinge vector-dyadic viscoelastic