Abstract: A new approximate iterative approach, QDA method, for the steady solution of flexible mechanism is put forward, based on the finite element analysis on the distributed parameter model. It successfully replaces the solving of complicated differential equations in the kineto-elastodynamic(KED) analysis with the solving of a set of algebraic equations, saving a lot of computing time. The results show that this new method is of accurate computing precision and of high computing speed, and is an efficient approximate method.