Modeling and Simulation of a Differential Roll Projectile [report]

Mark F. Costello
2000 unpublished
This report develops the equations of motion for a differential roll projectile configuration with seven degrees of freedom. The dynamic equations are generated generically such that the forward and aft components are mass unbalanced. A hydrodynamic bearing exists between the forward and aft components, which couples the roll degree of freedom. A simulation investigation shows that bearing resistance and forward/aft body mass ratio are the dominant factors in determining the roll dynamics. For
more » ... roll dynamics. For spin rates typical of fin-stabilized projectiles, the trajectory is essentially independent of both bearing resistance and mass ratio. li Table of Contents Page List of Figures • 13 16. Roll Rate (Mass Ratio = 50%, Damping Coefficient = 0.01-0.000001) 13 17. Cross Range (Mass Ratio = 50%, Damping Coefficient = 0.01-0.000001) 14 18. Angle of Attack (Mass Ratio = 50%, Damping Coefficient = 0.01-0.000001) 14 19. Cross Range (Damping Coefficient = 0.0005, Mass Ratio = 1 %-50%) 15 20. Roll Angle (Damping Coefficient = 0.0005, Mass Ratio = l%-50%) 16 v Figure Page 21. Side Velocity (Damping Coefficient = 0.0005, Mass Ratio = l%-50%) 16 22. Roll Rate (Damping Coefficient = 0.0005, Mass Ratio = l%-50%) 17 A-l. Forces and Moments on the Forward Body 23 A-2. Forces and Moments on the Aft Body 23 VI
doi:10.21236/ada382708 fatcat:gtuww77nrrde3d2kpqmwcxxvpe