中文摘要：

离散多层圆筒由薄内简和倾角错绕的钢带层组成，具有制造简便、成本低等优点。预测简体在热冲击载荷下的热应力对强度设计和安全操作具有重要的应用价值。该文首次研究了离散多层圆筒在热冲击载荷作用下的热弹性动态响应。将内筒和钢带层的径向位移分别分解为满足给定应力边界条件的准静态解和满足初始条件的动态解，准静态解通过齐次线性方法确定，热弹性动态解通过有限Hankel积分变换和Laplace变换确定。根据内外层界面处位移连续条件，得到层间压力关于时间的第二类Volterra积分方程，利用Hermit二次三项式插值方法可求得该层间应力。最后将离散多层圆筒的热弹性动力响应与单层厚壁圆筒的响应进行了比较，并分析了钢带缠绕倾角和材料参数对热弹性动力响应的影响。

英文摘要：

A discrete multi-layered cylindrical shell （DMC） consists of a thin inner cylindrical shell and helically cross-winding flat steel ribbons, and is of advantages of convenient fabrication and low costs. The prediction of its stress is crucial for developing design code and operating procedures to the use of DMC. Thusly, the dynamic thermo-elastic responses of a DMC subjected to rapid arbitrary heating are studied. Based on the axisymmetric plane strain assumption, the general solutions for dynamic displacement equilibrium equations of bbth inner shell and outer ribbon layer are decomposed into two parts, i.e., a thermo-elastic part satisfying inhomogeneous stress boundary conditions and a dynamic part meeting homogeneous stress boundary conditions together with initial conditions. The thermo-elastic part is determined by linearity method, and the dynamic part is worked out by means of finite Hankel transform and Laplace transform. By using radial displacement continuity, a second kind Volterra integral equation about the pressure at the interface with respect to time is derived, which can be solved by interpolation functions. The thermo-elastic solution of a DMC is compared with the solution of a monobloc cylindrical shell. Numerical results are presented and analyzed with consideration of different major influential factors, such as winding-angle and material parameters.