Военно-морская школа последипломного образования (Naval
postgraduate school, Califoia), 2006. – 119 с. (на англ. яз.).
Специальность: Машиностроение (Mechanical engineering).
Currently, two methods exist to determine trajectory of a ballistic
penetrator: Poncelet Analysis and Differential Area Force Law
(DAFL) methods. An exact solution for the Poncelet Equation exists:
making for easy computation. However, the one dimensional nature of
the equation fails to capture the intricate three-dimensional
nature of real world ballistic penetrator trajectories. The DAFL
methods employ empirically derived stress algorithms to calculate
the forces acting on a differential area of a projectile. These
stresses are then used to determine the forces and moments acting
on the differential areas. These forces and moments are then used
to solve the equations of motion to determine the trajectory of the
ballistic penetrator. The DAFL methods accurately capture the three
dimensional nature of the penetrator's trajectory, but are
computationally intensive which make them slow.
The Integrated Force Law (IFL) method combines the computational ease of the Poncelet Analysis with the accuracy of the DAFL methods. In IFL. the projectile shape is modeled as a polynomial. The stress algorithms used in the DA.; methods are then numerically integrated over the top and bottom surfaces of the projectile to determine the force and moment acting on the top and bottom half of the weapon. These two forces and moments are then used to solve the equations of motion. J-hook trajectories are solved in less than 40 seconds and stable trajectories are solved in less than three seconds. Content:
Background.
Previous research.
Integrated force law method (IFL).
Code construction.
Results.
The Integrated Force Law (IFL) method combines the computational ease of the Poncelet Analysis with the accuracy of the DAFL methods. In IFL. the projectile shape is modeled as a polynomial. The stress algorithms used in the DA.; methods are then numerically integrated over the top and bottom surfaces of the projectile to determine the force and moment acting on the top and bottom half of the weapon. These two forces and moments are then used to solve the equations of motion. J-hook trajectories are solved in less than 40 seconds and stable trajectories are solved in less than three seconds. Content:
Background.
Previous research.
Integrated force law method (IFL).
Code construction.
Results.