SOME DECOMPOSITION METHODS IN THE ANALYSIS OF REPETITIVE STRUCTURES

In this paper, we are interested in a two decomposition method based o n the partition of the structure in some substructures: the iterative substructure method and the method based on the symmetry groups. We co nsider a symmetric and repetitive structure. One can meet such symmetr ical structure in many domains such as chemistry, mathematics and stru ctural mechanics (rotor, stator for example), etc. Both static and dyn amic cases are considered. The two methods can be applicable to bidime nsional and tridimensional. problems with arbitrary loadings. Finally, the numerical tests, relative to the static and dynamic cases, illust rate our case.