非均质流固耦合介质轴对称动力问题时域解

TRANSIENT SOLUTIONS OF AXISYMMETRIC DYNAMIC PROBLEM FOR INHOMOGENEOUS TWO PHASE MEDIA

将地基视为流固两相介质并考虑其非均质成层特性，推导了多层地基动力问题时域解．文中首先建立了一组解耦的两相介质动力控制方程；而后利用Ｌａｐｌａｃｅ－Ｈａｎｋｅｌ变换推导了单层地基象空间初参数解答；再利用初参数法及传递矩阵技术导出了任意多层地基瞬态解的一般解析算式．

The transient propagation in multi layered two phase media under axisymmetric dynamic load is considered and a set of analytic solutions are obtained in the integral form. To obtain the transient solutions,the field equations in cylindrical coordinates on the basis of the modified Biot's linear theory for two phase media are presented and the uncoupled governing equations are then established without the aid of scalar potentials. By means of Laplace Hankel mixed transforms, a set of solutions in transform space for one layer are obtained in the form of initial parameters. Based on the solutions of one layer, the solutions of multi layered system are achieved by employing the transfer matrix method. The solutions derived are also compared with the corresponding ideal elastic solutions. Moreover, the numerical methods for computation of the derived solutions are presented. The method presented shows potential application to other static or dynamic problems on layered two phase media.