炸药爆炸作用下飞片的运动

刚性飞片在炸药爆炸作用下的一维抛掷问题,仅当爆炸气体多方指数等于三时可以求得解析解;一般情况下须利用计算机求出数值解本文利用了爆炸气体中反射冲击波的“弱”击波特性,使飞片运动和飞片后方流场之间相互耦合的复杂问题解耦而归结为求解常微分方程问题;然后用小参数摄动法求出多方指数接近于三的各种炸药驱动飞片问题的近似解析解,所得飞片终速和数值解符合很好;从而给出了用爆速和多方指数等两个炸药示性参量表出的估算飞片运动的良好近似公式.

On the Motion of Flying Plate under Explosive Attack

The one-dimensional problem of the motion of a rigid flying plate under explosive attack has an analytic solution only when the polytropic index of detonation products equals to three. In general, a numerical analysis is required. In this paper, however, by utilizing the "weak" shock behavior of the reflection shock in the explosive products, and applying the small parameter pur-terbation method, an analytic, first-order approximate solution is obtained for the problem of flying plate driven by various high explosives with polytropic indices other than but nearly equal to three. Final velocities of flying plate obtained agree very well with numerical results by computers. Thus an analytic formula with two parameters of high explosive (i.e. detonation velocity and polytropic index) for estimation of the velocity of flying plate is established.