SUMMARY

Multimodal vibration attenuation can be achieved through the coupling of an analogous passive electrical network that share the approximate modal properties of the mechanical structure. By tuning the electrical network parameters to produce the same modal properties as the governing equations of the mechanical system, the coupled system can achieve a significant vibration attenuation because the modes of the network and the structure match in both frequency and spatial domain. Previous research has demonstrated the feasibility of this concept in beam and plate structures, using piezoelectric patches to couple the structure to an electric network with identical plate-like mode shapes.

This research proposal focuses on extending the analogous network concept from plates and beams to circular symmetric shells. An analytical model will first be developed that defines the dynamics of the circular symmetric shell with its analogous electrical network. The analytical solutions to the multimodal vibration of shells will then be verified through experimentation.