Читать книгу Damaging Effects of Weapons and Ammunition - Igor A. Balagansky - Страница 19

The form of the coordinate law can be simplified by artificially expanding the area of reliable damage at the expense of the area of unreliable damage and completely eliminating the area of unreliable damage from consideration. The obtained extended reliable damage area is referred to as the specified damage zone of the target, which is characterized by the area S_sp, and its sizes – by the specified target sizes [3]. For all points of the specified zone according to its definition G(x, y) = 1, and outside this zone G(x, y) = 0, in other words, in this case, the coordinate law has a stepwise graph.

By definition, the area of a specified damage zone can be determined as follows:

(I.9)

The integration is performed over the whole area, within which the coordinate law does not turn zero.

For nuclear warheads, the specified damage zone is a circle with an area S_sp = πR ² , where R is the radius of the specified damage zone.

For conventional ammunition, the specified damage zone is often represented as a rectangle, and therefore, its area is S_sp = 4l_x l_y , where the 2l_x and 2l_y are the depth and front of the specified target sizes.

The probability of damaging an elementary target with several shots when using the concept of a specified damage zone can be calculated as the probability of at least one ammunition hitting this zone. In this case, the probability is calculated using the same formulas as when assessing the effectiveness of contact ammunition.