By John H Blacelock
This is often by no means my favourite publication on dynamics or keep an eye on, yet each person references it, so that you should still most likely have a replica of it in case you are a significant aeronautics counsel and keep an eye on specialist.
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Extra resources for Automatic Control of Aircraft and Missiles
5 CZa 1 aFz Sq'aa Slope of the normal force curve aC L aC L -Co - - " - aa aa -4 • I 23 Sq Sq c c a8 Cw Gravity CZ,; ~(2UrFz Sq c ali Downwash lag on lift of tail C Zq ~(2Ur~z Effect of pitch rate on lift Cmu U aL Sqc au Effects of thrust, slipstream, and flexibility C ma 1 aL Sqc aa Static Iongitudinal stability /'cm.. 3 2( acaitm ) dad€ ic -3 m ) -It 2 (ac Kalt c -8 II I • I l iI' ~ 24 LONGITUDINAL DYNAMICS becomes From Eq. Fz =m( ~U-U8) =mU'ei-mU8 (1-52) Substituting this into Eq. 1-51, and dividing by Sq, it becomes _!!..
Figures 1-9, 1-10, and 1-11 are amplitude ratio plots of Eqs. 1-118, 1-124, and 1-127 against w for s = jw. Figure 1-9 shows that the amplitude of the 'u /81' response is very small at the natural frequency of the short-period 46 LONGITUDINAL DYNAMICS oscillation. This statement substantiates the one made in Section 1-8 that there is very little change in the forward velocity during the short-period oscillation. An examination of Eq. 1-124 and Figure 1-10 indicates that the numerator quadratic effectively cancels the phugoid quadratic, thus substantiating the earlier statement that the phugoid oscillation takes place at almost constant angle of attack.
M t 16 LONGITUDINAL DYNAMICS earth axis: 'I' is the angle between OXE and the projection of the OX axis on the horizontal plane. ,p is a vector along OZE. 8 is the angle between the horizontal and the OX axis measured in the vertical plane. S is a vector along ON, the line of nodes. is the angle between ON and the OY axis measured in the OYZ plane. Note that this plane is not necessarily vertical. cb is a vector along OX. Thus, the angles '1', 8, and specify the orientation of the aircraft axis system with respect to the earth.
Automatic Control of Aircraft and Missiles by John H Blacelock