摘要
用直接求解常微分方程组解文［１］所得的控制方程，减少了传递矩阵计算工作量，避免了子阵求逆。
In Reference , the linear differential equations of axisymmetric dynamic problem for two phase media are derived by means of Laplace Hankel mixed transforms. To obtain a set of solutions in transform space for one layer in the form of initial parameters the fluid specific flux vector should be introduced. Based on the solutions of one layer, the solutions of multi layered system are achieved by employing the transfer matrix methed, but the flux boundary condition should be provided and the inversion of partial matrix should be calculated in order to determine the unknown physical parameters on the foundation surface. In this paper, the solutions for field equations in transform space presented in the Reference are derived without introducing the parameter fluid specific flux vector, in which the direct analytical method for linear differentical equations is used according to the potential boundary condition. Moreover, the calculation of transfer matrix for multi layered system can be decreased and the inversion of partial matrix can be avoided by using the obtained characteristics of the matrix transformation. Therefore, the presented solution by the improved method is simplified and not limited by theflux boundary condition.
出处
《力学学报》
EI
CSCD
北大核心
1998年第2期229-232,共4页
Chinese Journal of Theoretical and Applied Mechanics
关键词
轴对称动力问题
流固耦合介质
两相介质
Laplace Hankel transforms, axisymmetric dynamic problem, multi layered foundation
