叶轮间隙差引起激振实验器的研究

A SEMI-ANALYTICAL SOLUTION FOR DYNAMIC RESPONSE OF COMPOSITE PLATES IN HAMILTON SYSTEM

叶轮相对机匣存在几何偏心时，作用在叶片上的气动力将会产生使转子发生失稳的横向力。经实践探讨，对其实验设备进行了设计尝试并经多次调试改进，终于获得了设计这项实验器的可行方法，经实用证明成功的捕捉到不同条件时Ａｌｆｏｒｄ力值。

Abstract Hamilton canonical equations have been derived by introducing the canonical functions in time direction,and a semi analytical method for the dynamic response of composite plates is provided.By separation of variable,conventional finite element discretization can be applied in the plane of lamina,and the exact solution in thick direction is deduced by the state space control method.Continuity of diplacements and stresses is ensured by applying the transfer matrix method,and the relational expression in the upper and lower surfaces is established,then the solution is obtained by means of the shot method.The results indicate that the number of variables is reduced greatly and the accuracy of the solution is enhanced.