By Jan Roskam

Moment Library reproduction. San Diego Air and house Museum.

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Manufacturing) shape of an elastic airplane is also presented.. Several numerical examples of the effect of aeroelasticity on stability and control derivatives are given for a subsonic and,for a supersonic transport. Chapter 8 presents an introduction to the construction and interpretation of Bode plots with open and closed loop airplane applications. An important inverse application is also given. In Chapter 9 an overview is given of so-called classical control theory. The use of the OOotlocus method and the Bode method are illustrated with examples.

Jaear velocity compopents: forward velocity. side velocity and downward velocity reSllectiyely. 18h) for the distance components which locate masS elements in the air,plane. o iChapter 1 9 Equations of Motion and Axis Systems y Z Z' (Earth-fixed) Aerodynamic and Thrust Forces Acceleration of Gravity Z Aerodynamic and Thrust Moments Z Linear and Angular (Rotational) Velloci'tits Fipre 1,2 Definitions of vector Components in the AiQllane Equations of Motion In Chapter 6 it will be shown that many of these inertial properties have a very significant influence on the response behavior of the airplane in flight as weIl as on the flying qualities of the airplane.

5 THE AIRPLANE FLIGHT PATH RELATIVE TO THE EARTH It is now possible to detennine the flight path of an airplane relative to the fIxed earth from knowledge of the velocity components U, V and W in the airplane body-fIxed axis system XYZ and the three Euler angles of Section 104. This will be done by establishing relationships between the velocity components U, V and W (velocity components of Vp in XYZ) and the velocity components x',y'andz' (velocity components of Vp inX'Y'Z'). 33) With a similar orthogonal transformation it is possible to relate U2, V2 and W2 to U3, V3 and W 3 (velocity components of V p in X3Y JZ3): Chapter 1 15 Equations of Motion and Axis Systems Rotation SeQuence 2 Rotation Sequence 1 X Z Rotate +90 decrees about Y Rotate -90 demes about X X y Y z IWate +90 deems about Y y y z Fieure 1,6 Demonstration that Finite Ane"lar Rotatinn" do not Behave as Vectors Chapter 1 16 Equations of Motion and Axis Systems Projection of V p onto the X2Y 2-plane 1.