A method is proposed in this article which allows the decomposition of a limit problem, in structural calculations, into well posed sub-problems by the method of finite group representations. The sub-problems resulting from this decomposition are solved and the global solution can be calculated by a transformation strategy. The objective of this procedure is to reduce the time and thus the cost of predictive calculations for the behavior of complex structures such as rotating machinery, ribbed plates or shells, turbo-machinery and space structures. This study has led to the realization of a competitive calculation software. An example is presented which illustrates the calculation of the eigenmodes of the stator of an ultra-sound motor. This is a tridimensional problem involving relatively high frequencies (on the order of 40 Khz).
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