Quasi-zero-stiffness metamaterial pipe for low-frequency wave attenuation

Aiming to attenuate low-frequency wave in pipes, a novel metamaterial pipe with attached compliant quasi-zerostiffness (QZS) resonators is proposed. The compliant resonator with twelve compliant multi-segment curved beams is proposed firstly to achieve quasi-zero stiffness under proper pre-compression. Theoretical investigations are conducted to derive the dispersion relation and reveal the band gap of the QZS metamaterial pipe using the transfer matrix method (TMM). Moreover, the finite element model of the QZS metamaterial pipe is established and the steady dynamic analysis is carried out to obtain wave transmittance and estimate the performance of wave attenuation in the band gap. The results indicate that the metamaterial pipe with compliant QZS resonators has an ability to open low-frequency band gaps and realize the attenuation of flexural wave in the QZS metamaterial pipe at low frequencies.