Читать книгу Damaging Effects of Weapons and Ammunition - Igor A. Balagansky - Страница 40

There are methods to estimate the effectiveness of damaging area targets, suitable for both single and multiple shots. We won't be considering them here.

Let us consider here only an approximate method for determining the average fraction of the area damaged by several independent shots if the damage fraction by one shot is known. With an increasing number of shots n, the average fraction of the damaged area M_d grows not in proportion to the number of shots n, but more slowly. There are two reasons for this:

 with several shots fired, individual projectile areas may overlap;

 the average Mn fraction of damaging cannot exceed one at any number of shots and at unlimited increasing n can only approach to one asymptotically.

The exact relationship between M_n and the number of shots n is quite complex. However, numerous calculations have shown that for practical needs, it can in most cases be replaced by function like

(I.36)

where M is the average damaged fraction of a single shot.

Formula (I.36) is not accurate enough if the target size is large compared to the dispersion area of the projectiles.