Vibration analysis of a structure with cyclic symmetry

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SUMMARY

The discussion centers on the vibration analysis of structures with cyclic symmetry, specifically in the context of finite element (FE) analysis for turbine wheels. It highlights that the motion can be represented using complex numbers for a single segment, such as one blade of a turbine. The key question raised is whether only one segment is input into the FE solver while the output includes data for all segments, such as all blades of the turbine wheel. This fundamental inquiry seeks clarity on the relationship between input and output in cyclic symmetry analysis.

PREREQUISITES
  • Understanding of finite element analysis (FEA)
  • Familiarity with cyclic symmetry in structural dynamics
  • Knowledge of complex numbers in motion representation
  • Basic principles of vibration analysis
NEXT STEPS
  • Research the implementation of cyclic symmetry in ANSYS or ABAQUS
  • Learn about complex number applications in structural dynamics
  • Explore the output interpretation of FE analysis for cyclic structures
  • Study the effects of blade geometry on vibration characteristics in turbine design
USEFUL FOR

Structural engineers, vibration analysts, and researchers involved in the design and analysis of cyclic symmetric structures, particularly in the context of turbine wheels and similar applications.

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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