Spring 2003 Example Given: Catapult rotating at a constant rate(frictionless, in the horizontal plane) Find the eom of the particle as it leaves the tube

美国麻省理工大学：《Aerospace Dynamics（航空动力学）》英文版 lecture 11

Spring 2003 1661AC22 Longitudinal Dynamics For notational simplicity, let X=Fn, Y= Fu, and Z= F aF Longitudinal equations(1-15 )can be rewritten as mi=X+X2- mg cos(0+△X

Aircraft Lateral Dynamics Using a procedure similar to the longitudinal case, we can develop the equa tions of motion for the lateral dynamics

美国麻省理工大学：《Aerospace Dynamics（航空动力学）》英文版 Lecture 15

Spring 2003 Derivation of lagrangian equations Basic Concept: Virtual Work Consider system of N particles located at(, x2, x,,.x3N )with 3 forces per particle(f. f, f..fn). each in the positive direction

一、变化的可能性与现实性 可能的变化是否一定发生? 可能性大、自发趋势大的反应是否速率也快?

UPTO NoW HAVE CONJSI DERED PROBLEMS RELEVANT To THE RIGID BO0Y OYNAMICS THAT ARE IMPORTANT To AEROSPACE VEHICLES USED A BODy FRAME THAT ROTATES WITH THE VEHICLE ANOTHER TMPORTANT CLASS oF PRoBLEMS FoR Bo DIES SUCH AS GyRoscofes ROToR WITH HIGH SPIN RATE ESSENTIALY MASSLESS FRAME

Aircraft Lateral Dynamics Using a procedure similar to the longitudinal case, we can develop the equa tions of motion for the lateral dynamics

Longitudinal equations (1-15) can be rewritten as: mu Xuu+ Xww-mg cos 0+ m(w-qUo) =Zuu+ Zww+ Zq-mg sin 000+Z Iyyg =Muu+ Mww+ Mw++ There is no roll/yaw motion, so q 0