利用 Laplace 变换确定双层厚壁长圆筒的轴对称界面碰撞压力

EFFECT OF CLEARANCE ON ELASTIC WAVES IN TWO COAXIAL THICK WALLED HOLLOW CYLINDERS SUBJECTED TO AN INTERNAL EXPLOSION LOADING

利用Ｌａｐｌａｃｅ变换，考虑轴对称弹性波的影响，采用特征函数展开法求解双层厚壁长圆筒受爆炸载荷作用下的轴对称弹性碰撞冲击问题，着重研究前几次碰撞冲击引起的轴对称界面碰撞压力。并对轴对称界面碰撞压力与间隙量、爆炸载荷幅值、爆炸载荷衰减系数之间的关系以及相关的动力响应作了初步的分析。

Axisymmetric problem of elastic waves is investigated for a system, consisting of two coaxial thick walled hollow cylinders with initial clearance.Waves are generated by an interior explosion loading, which decays with time with different rates.The two cylinders have the same material properties,and only radial displacement is considered.Analytiacl expressions for waves are derived using eigenfunctions and Laplace transform.Emphasis is on the waves generated,when the clearance vanishes several times at first .When geometric,elastic and loading parameters are given,the pressure and velocity may be calculated readily .A series of examples are presented to give a notion about the wave phenomena and maximum pressure inside the cylinders.