Z C Zheng , D Guo, Y J Zhang and Z C Hou DYNAMIC ANALYSIS OF LARGE-SCALE FLEXIBLE SYSTEMS FOR FREE-FREE SPACE STRUCTURES Based upon the theory of modified constrained modal methods, in which the constrain can be set up on arbitrary points of the system or subsystems, a kind of simplified method of free-free structural modal analysis is presented in this paper. By using this method the structures with degrees of freedoms of rigid body motion can be constrained optionally. The structure becomes statically determinate system or statically indeterminate system. The modeling of finite element method can be verified or corrected by calculating results and experiments of statically constrained modes and dynamic normal modes of the constrained system. Therefore, the modal analysis of free-free system can be performed easily by using modal information from the experiment or calculating results. The traditional modal experimental method of hanging with flexible strings may be changed, and the effective experimental methods can be chose according to concrete structure and site. To verify the effectiveness of this method, the examples of a free-free rocket simplified as beam and cylindrical shell model, or divided into two substructures, and a modeling as an example of a strap-on rocket with four boosters are given. The presented method is a kind of practical method for modal analysis and suitable for large space structures, especially in the case of the assemblage of large flexible space structure systems, whose components can be tested in ground but the assemblage can not be opened in ground and only can be extended in space.