Free vibration of perforated cylindrical shells of revolution: Asymptotics and effective material parameters

Free vibration characteristics of thin perforated shells revolution vary depending not only on the dimensionless thickness shell but also perforation structure. For any given configuration there exists a critical value below which homogenisation fails. The failure occurs when modes do have corresponding counterparts in non-perforated reference shell. Within admissible range thicknesses uniform effective material parameters are derived with minimisation process. During process every observed mode is matched one using problem-specific characterisation. performance and hence demonstrated an extensive set numerical experiments. Limitations proposed approach reflected relation to idealised trommel screen configurations.