A MATHEMATICAL MODEL OF INTERIOR BALLISTICS FOR THE AMPHIBIOUS RIFLE WHEN FIRING UNDERWATER AND ITS VALIDATION BY MEASUREMENT

The paper is focused on the build of the interior ballistics model of amphibious rifle when firing underwater base on the standard interior ballistics of automatic rifle used gas operated principle. The presented mathematical model is validated and experimentally verified for the 5.56 mm underwater projectile fire on the 5.56 mm amphibious rifle. The result of this research can be applied to design the underwater ammunition, underwater rifle and amphibious rifle.

Modeling of the Tail Slap for an Underwater Projectile within Supercavitation

Detailed process of the tail slap for an underwater projectile in supercavitation is studied in this paper. Firstly, the horizontal equation of motion for the projectile and a dynamic model of the projectile’s tail slap are introduced through a mathematical derivation, including a simple harmonic motion model of the projectile within the supercavitation layer and the tail slap reflection movement model inside the cavity. Subsequently, the MATLAB software package is used to model the projectile’s motion. Characteristics for force from the projectile tail on the water layer during a single tail slap and the behavior of the projectile’s angular motion as well as the characteristics of projectile tail motion through multiple tail slaps are investigated. It is found that the force magnitude of the water on the projectile tail decreases gradually while the relative motion angle of the projectile tail into the water layer and the contact time increase obviously as the projectile repeatedly slaps the cavity interface. When the projectile velocity decreases into a certain range, i.e., less than 50 m/s, the contact time of the tail in the water layer increases dramatically, and the supercavitation can tend to collapse and lead to unstable projectile motion. With increasing lateral deviation and angular velocity of the projectile tail, the number of tail slaps and the angle of reflection both increase significantly. In the case of supercavitation, the parameters of different tail slap points tend to be stable with time.

STUDY ON IMPACT FORCES OF THE UNDERWATER CAVITY PROJECTILE

The motion of the underwater projectile with cavity effect including two motions: the projectile moves in the forward direction, center of mass of the projectile rotation around its nose makes tail of the projectile impacts on the cavity wall. According to, the impact forces occur, they include the drag force at its none, the impact force at impact point. The paper studies the forces occur on during motion of the underwater cavity projectile. Added, this paper considers the effect of the length and distributive projectile to the magnitude of impact force and the drag force of the underwater cavity projectile.