Propagation of acoustic waves in a fluid-filled pipe with periodic elastic Helmholtz resonators<xref rid="cpb_27_6_064301_fn1" ref-type="fn">*</xref> <fn id="cpb_27_6_064301_fn1"> <label>*</label> <p>Project supported by the National Natural Science Foundation of China (Grant Nos. 11372346, 51405502, and 51705529).</p> </fn>

Propagation of acoustic waves in a fluid-filled pipe with periodic elastic Helmholtz resonators* *

Project supported by the National Natural Science Foundation of China (Grant Nos. 11372346, 51405502, and 51705529).

Yu Dian-Long^{1, †}, Shen Hui-Jie², Liu Jiang-Wei¹, Yin Jian-Fei, Zhang Zhen-Fang¹, Wen Ji-Hong¹

(a) Effective bulk moduli for elastic HR, where the solid, dash-dot, and dotted lines correspond to M = 1, 2, and 4, respectively. (b) Effective bulk modulus for rigid HR.