强动载荷下离散多层圆筒的弹性动力响应分析

针对离散多层圆筒（DMC）在动载荷作用下研究的不足，研究了DMC在强动载荷作用下的弹性动力响应.在轴对称平面应变条件下，将内筒和钢带层的径向位移分别分解为满足非齐次应力边界条件的准静态解和满足齐次应力边界条件的动态解，准静态解由齐次线性方法和边界条件确定，动态解通过有限Hankel积分变换和Laplace积分变换求得.数值算例结果表明，与几何尺寸、材料均相同的单层圆筒（MC）相比，在相同的内部动载荷作用下，DMC有更大的径向位移和更大的径向应力峰值.DMC内筒的环向应力峰值比相应内径处的MC大，而钢带层中的环向应力峰值比单层圆筒小.

Dynamic elastic responses of discrete multilayered cylinder under intensive dynamic loading

Considering the lack of research on dynamic response of discrete multi-layered cylinder(DMC),a dynamic elastic solution of DMC under intensive dynamic loading was studied.Based on the axisymmetric plane strain assumption,the solution was divided into a quasi-static part meeting inhomogeneous stress boundary conditions and a dynamic part complying with homogeneous stress boundary conditions.The quasi-static part was determined by homogeneous linearity method and boundary conditions,and the dynamic part was obtained by finite Hankel and Laplace transform.Numerical results show that compared with the dynamic responses of monobloc cylinder(MC) with the same size,material properties and the internal dynamic loading as the DMC,the displacement and radial peak stresses of DMC are greater than those of MC,and that the hoop peak stresses in the inner shell of DMC are larger and the hoop peak stresses in the ribbons are less than those at the same radius of MC.