TY - JOUR
T1 - Trajectory instability and convergence of the curvilinear motion of a hard projectile in deep penetration
AU - Gao, Xudong
AU - Li, Q.M.
PY - 2017/2
Y1 - 2017/2
N2 - This paper studies the trajectory instability and convergence of the curvilinear motion of a hard projectile in deep penetration, based on rigid body dynamics and the differential area force law. It is observed that both sudden (instable) and gradual (curvilinear) changes of the projectile trajectory may happen under certain conditions depending on projectile geometry, target property, impact velocity and other striking parameters. A criterion is introduced to determine the occurrence of trajectory instability. Two characteristic velocities are identified, i.e. (a) the critical impact velocity for the occurrence of trajectory instability, and (b) the characteristic convergent velocity, at which the projectile trajectory turns to a straight line (linear motion) from the curvilinear motion, which is supported by experimental evidence. It is shown that both the critical impact velocity and the characteristic convergent velocity depend linearly on the relative location of projectile's centre of mass. However, the characteristic convergent velocity is independent of the non-axisymmetrical disturbance and impact velocity.
AB - This paper studies the trajectory instability and convergence of the curvilinear motion of a hard projectile in deep penetration, based on rigid body dynamics and the differential area force law. It is observed that both sudden (instable) and gradual (curvilinear) changes of the projectile trajectory may happen under certain conditions depending on projectile geometry, target property, impact velocity and other striking parameters. A criterion is introduced to determine the occurrence of trajectory instability. Two characteristic velocities are identified, i.e. (a) the critical impact velocity for the occurrence of trajectory instability, and (b) the characteristic convergent velocity, at which the projectile trajectory turns to a straight line (linear motion) from the curvilinear motion, which is supported by experimental evidence. It is shown that both the critical impact velocity and the characteristic convergent velocity depend linearly on the relative location of projectile's centre of mass. However, the characteristic convergent velocity is independent of the non-axisymmetrical disturbance and impact velocity.
U2 - 10.1016/j.ijmecsci.2016.12.021
DO - 10.1016/j.ijmecsci.2016.12.021
M3 - Article
SN - 0020-7403
VL - 121
SP - 123
EP - 142
JO - International Journal of Mechanical Sciences
JF - International Journal of Mechanical Sciences
ER -