Vibration Control of a Periodic Piping System Employing Metamaterial Concept

A novel way based on metamaterial concept is presented here to control the flexural vibrations of a periodic piping system. A pipe supported on a periodic rack is assumed to be pipe on periodic elastic supports whose dispersion relation is derived using Bloch-Floquet theorem, which is successively validated with finite element (FE) model. The results show that both Bragg and resonance type bandgaps exist in the frequency spectra. Moreover, the lateral localized resonators (LLRs) and lateral distributed resonators (LDRs) are designed for controlling the pipe vibration. Though, the efficacy of LDRs is found to be less than the LLRs, the use of LDRs leads to economical solutions.