Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 33122
Computational Prediction of Complicated Atmospheric Motion for Spinning or non- Spinning Projectiles
Authors: Dimitrios N. Gkritzapis, Elias E. Panagiotopoulos, Dionissios P. Margaris, Dimitrios G. Papanikas
Abstract:
A full six degrees of freedom (6-DOF) flight dynamics model is proposed for the accurate prediction of short and long-range trajectories of high spin and fin-stabilized projectiles via atmospheric flight to final impact point. The projectiles is assumed to be both rigid (non-flexible), and rotationally symmetric about its spin axis launched at low and high pitch angles. The mathematical model is based on the full equations of motion set up in the no-roll body reference frame and is integrated numerically from given initial conditions at the firing site. The projectiles maneuvering motion depends on the most significant force and moment variations, in addition to wind and gravity. The computational flight analysis takes into consideration the Mach number and total angle of attack effects by means of the variable aerodynamic coefficients. For the purposes of the present work, linear interpolation has been applied from the tabulated database of McCoy-s book. The developed computational method gives satisfactory agreement with published data of verified experiments and computational codes on atmospheric projectile trajectory analysis for various initial firing flight conditions.Keywords: Constant-Variable aerodynamic coefficients, low and high pitch angles, wind.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1058065
Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 2424References:
[1] McCoy, R., Modern Exterior Ballistics, Schiffer, Attlen, PA, 1999.
[2] Fowler, R., Gallop, E., Lock, C., and Richmond H., "The Aerodynamics of Spinning Shell," Philosophical Transactions of the Royal Society of London, Series A: Mathematical and Physical Sciences, Vol. 221, 1920.
[3] Cooper, G., "Influence of Yaw Cards on the Yaw Growth of Spin Stabilized Projectiles," Journal of Aircraft, Vol.38, No. 2, 2001.
[4] Guidos, B., and Cooper, G., "Closed Form Solution of Finned Projectile Motion Subjected to a Simple In-Flight Lateral Impulse," AIAA Paper, 2000.
[5] Costello, M., and Peterson, A., "Linear Theory of a Dual-Spin Projectile in Atmospheric Flight," Journal of Guidance, Control, and Dynamics, Vol.23, No. 5, 2000.
[6] Burchett, B., Peterson, A., and Costello, M., "Prediction of Swerving Motion of a Dual-Spin Projectile with Lateral Pulse Jets in Atmospheric Flight," Mathematical and Computer Modeling, Vol. 35, No. 1-2, 2002.
[7] Cooper, G., "Extending the Jump Analysis for Aerodynamic Asymmetry," Army Research Laboratory, ARL-TR-3265, 2004.
[8] Cooper, G., " Projectile Aerodynamic Jump Due to Lateral Impulsives," Army Research Laboratory, ARL-TR-3087, 2003.
[9] Murphy, C., "Instability of Controlled Projectiles in Ascending or Descending Flight," Journal of Guidance, Control, and Dynamics, Vol.4, No. 1, 1981.
[10] Hainz, L., and Costello, M., "Modified Projectile Linear Theory for Rapid Trajectory Prediction," Journal of Guidance, Control, and Dynamics, Vol.28, No. 5, 2005.
[11] Etkin, B., Dynamics of Atmospheric Flight, John Wiley and Sons, New York, 1972.
[12] Joseph K., Costello, M., and Jubaraj S., "Generating an Aerodynamic Model for Projectile Flight Simulation Using Unsteady Time Accurate Computational Fluid Dynamic Results," Army Research Laboratory, ARL-CR-577, 2006.
[13] Amoruso, M. J., "Euler Angles and Quaternions in Six Degree of Freedom Simulations of Projectiles," Technical Note, 1996.
[14] Costello, M., and Anderson, D., "Effect of Internal Mass Unbalance on the Terminal Accuracy and Stability of a projectile," AIAA Paper, 1996.