A. Elhami et al., METHODS THAT COMBINE FINITE-GROUP THEORY WITH COMPONENT MODE SYNTHESIS IN THE ANALYSIS OF REPETITIVE STRUCTURES, Computers & structures, 48(6), 1993, pp. 975-982
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.