Abstract
The dynamics of a supersonic missile with a deflectable nose are studied. To describe the effects of nose deflection on the dynamic model, theorems of momentum and angular momentum are adopted to develop the translational equation and rotation equation, respectively. Because the exact model is complex, it is simplified. The simplified model suggests that the main influence of nose deflection on the dynamic model is due to the product of the time derivatives of the azimuth angle and the elevation angle, which makes the dynamic model an impulsive differential system. Considering the aerodynamic characteristics a numerical simulation is sufficient to show the open-loop characteristics of the missile.
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Abbreviations
- Ψ :
-
yawing angle of missile
- ϑ :
-
pitching angle of missile
- γ :
-
rolling angle of missile
- ϕ n :
-
azimuth angle of nose deflection
- δ :
-
elevation angle of nose deflection
- α :
-
angle of attack
- β :
-
angle of sideslip
- α c :
-
included angle
- ϕ :
-
bank angle
- m b :
-
mass of body
- m n :
-
mass of nose
- \(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\rightharpoonup}$}} {\omega } _b \) :
-
angular velocity of body
- \(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\rightharpoonup}$}} {\omega } _a \) :
-
relative angular velocity of nose
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Sun, X., Gu, L. & Gong, C. Dynamics of a deflectable-nose missile. Sci. China Technol. Sci. 55, 3483–3494 (2012). https://doi.org/10.1007/s11431-012-4984-5
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DOI: https://doi.org/10.1007/s11431-012-4984-5