In this paper, a relative coordinate system is introduced to describe the
motion of flexible multibody system. This coordinate system fully utilizes the property
of transform matrix to reduce the nonlinear couplings between rigid and elastic motion.
A recursive formulation for the dynamic analysis of open loop trees deferrable multibody
systems based on the Jardon s principal is presented. The dynamic equation is assembled
from outer layer to inner layer. Having used the recursive technique for dynamic
equation s formulation, computer storage is much less than other methods in
calculation. A numerical example is given.