圆锥杆斜侵彻水泥靶时应力波传播特性研究

Analysis of Stress Wave Propagation on Tilt Penetration of a Conical Rod Against Cement Target

根据动能定律和刚体平面运动微分方程,建立了圆锥杆倾斜侵彻半无限厚水泥靶时的动力学方程。对这些方程进行数值求解,求得侵彻时的轴向撞击力和横向撞击力,讨论了初始侵彻角度对轴向撞击力和横向撞击力的影响。在此基础上,建立了圆锥杆的波动方程,分别研究了正应力和剪应力在圆锥杆中的传播规律和分布规律。研究表明,初始侵彻角度对轴向撞击力影响非常小,但对横向撞击力影响较大;初始侵彻角度较大时,应力波传播以轴向力产生的正应力传播为主。

Dynamic equation on the penetration of a conical rod against half-infinite cement target was established by using the theorem of momentum and the law of kinetic energy.The axial impact force and the lateral impact force were determined by the numerical solution of the nonlinear equations,the influence of the initial penetration angle to the axial impact force and the lateral impact force were discussed.On this basis,the wave equations of the conical rod are established,and the propagation and distribution of the normal stress and the shear stress are investigated.Research has shown that the effect of initial penetration angle on axial impact force was very small and that on lateral impact force was large.When the initial penetration angle was bigger,the resultant normal stress waved mainly at the normal stress was generated by axial impact force