Vibration analysis of a structure with cyclic symmetry

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In vibration analysis of structures with cyclic symmetry, the motion can be represented using complex numbers for a single segment, such as one blade of a turbine wheel. The inquiry focuses on whether finite element (FE) analysis involves inputting only one segment into the solver while the output reflects the behavior of all segments. This approach simplifies the analysis by reducing computational complexity while still providing insights into the overall system. Understanding this method is crucial for accurate modeling and analysis of cyclically symmetric structures. Clarification on this fundamental aspect is sought for better comprehension of the process.
svishal03
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Lets us say we are doing a vibration analysis of a structure with cyclic symmetry

In very brief (as pointed out by AlephZero in one of his excellent reply) the whole motion can be represented by complex numbers which describe the motion of one segment.

Now, my question is:

1)Is it that,whilst doing the FE analysis we have just one segment (example 1 blade only- considering a turbine wheel) going into the solver - i.e. nodes/eleemnts of just 1 blade?

2)But the output comprises of all segments- i.e. all the sectors / blades?

Please help me with this fundamental question!

Sorry for being too basic
 
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