Abstract :
Rings are widely used in mechanical equipment, and their tness may undergo
some damage under severe vibration. In these structures, functionally graded rings can be
used to optimize the resistance, energy consumption, and tness. Due to their complexity,
the nite-element analysis may be implemented using special elements. Enhancement of
accuracy and minimization of time consumption play an important role in the analysis of
these rings. In this study, a new cylindrical superelement for the FGM rings is designed and
implemented to facilitate the vibration analysis of the rings. The power-law distribution
is used for the modeling of the FGM rings in the thickness direction. Natural frequencies
and mode shapes are obtained, and results are compared with simple cases obtained from
analytical solution and conventional elements. Findings indicate that, considering a few
newly designed superelements, comparable results for simple cases in the reported literature
can be achieved.
