A NEW PENETRATION EQUATION SATISFYING MOMENTUM ENERGY CONSERVATION

摘要

A new penetration equation for ballistic limit analysis of a projectile-target pair is developed andpresented. A critical review of the classic ballistic limit analysis (CBLA) has identified that theCBLA penetration equations do not satisfy the conservation of momentum and energy principlessimultaneously and completely. It has also been found that the classic definition of residualvelocity of the projectile does not quantify the instantaneous rigid body velocity of the projectileat ballistic limit. A new definition of the projectile relative velocity with respect to the target incontact (and in motion) is defined, and this new definition is used to define the projectileinstantaneous velocity at ballistic limit. With this new definition of the projectile instantaneousvelocity, the new penetration equation is derived satisfying both the conservation of momentumand energy principles simultaneously. A general functional form of the new penetration equationis used in analyzing experimental data and the results are found to match well with theexperiments. The new equation is shown to be able to predict projectile residual velocity at andaround ballistic limit and is applicable to a wide range of thin and thick targets.