Figure 2

Models for a pipe \(P\) of Fig. 1b on a periodic rack, i.e. a pipe on elastic supports- Type #2-. (a) Uncontrolled pipe P. (b) Pipe \(P\) with lateral localized resonator (LLR) at the centre of each unit cell. (c) Pipe \(P\) connected to lateral distributed resonator (LDR), i.e. pipe \({P}_{1,\alpha }\).