METHODS THAT COMBINE FINITE-GROUP THEORY WITH COMPONENT MODE SYNTHESIS IN THE ANALYSIS OF REPETITIVE STRUCTURES

The static and dynamic calculations of symmetric mechanical structures are considered. This type of configuration is frequently found in rot ary machines, turbomachines, parabolic antennas, spatial structures, e tc. The objective of this study is to present two methods and a calcul ation code which takes this repetitivity into account in order to mini mize the time and cost of predictive calculations. Both proposed metho ds are applicable to bidimensional and tridimensional problems with ar bitrary loadings. They are based on the theory of linear representatio ns of finite groups and a technique of component mode synthesis.