旋转长杆弹侵彻混凝土靶应力波传播特性研究

摘要

利用动量定理和动量矩定理,建立了旋转长杆弹垂直侵彻混凝土时的运动微分方程,并对此微分方程进行了数值求解,讨论了撞击力和侵彻位移的时程特性。在此基础上,利用波动理论建立了纵波的波动方程和扭转波的波动方程。利用有限差分法对波动方程进行了数值求解,讨论了弹体内部应力波的传播特性,重点研究了初始旋转角速度对长杆弹内应力波传播特性的影响。%By using theorem of momentum and theorem of moment of momentum, the motion differential equations of the long rod are established when it penetrates into cement target normally. The numerical solution of the differenti- al equations is done and the history characteristics of the impact force and the penetration displacement are re- searched. On this base, the longitudinal and torsional wave equations of the long rod are established by using wave theory. Then finite difference method was applied to solve above equations, impact force history, penetration dis- placement history and stress wave propagation are also discussed. The influence of initial angular velocity on stress wave propagation is researched emphastically.