Trajectory Optimization Studies of Long Range Morphing Projectiles

The use of pattern search and gradient-based optimization methods to determine optimal geometries of morphing guided unpowered projectiles are examined. An investigation of continuously varying geometries vs. discrete-point morphing concepts is performed. A detailed aerodynamic analysis, applicable to a wide ight envelope, is coupled with a trajectory simulation program for use within the optimization schemes. Optimal projectile geometries that give maximum range subject to the constraints of static stability and trimmed conditions were then determined. Deployment of a single optimum geometry set of wings and canards at apogee provided a 98.6% increase in range over the baseline projectile con guration. Dual geometry and continuous morphing schemes increased the range over the baseline geometry by an additional 3.4% and 12.1% respectively. The trade o between range and morphing complexity showed that deployment of a single optimized geometry was the most bene cial for guided unpowered 155mm projectiles.

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