“…Pu et al (Pu and Shi, 2018) investigated the effectiveness of periodic barriers and developed a better method for reducing elastic surface wave propagation and damping in soil. New methods for dramatically reducing the propagation of EWs (Sang et al, 2018;Mandal and Somala, 2020;Huang et al, 2021;Li G. et al, 2022), mitigating SWs (Jia and Shi, 2010;Colombi et al, 2020;Daradkeh et al, 2022), controlling ground vibrations (Dijckmans et al, 2015;Gao et al, 2015;Jiang et al, 2015;Schevenels and Lombaert, 2017;Thompson et al, 2019;An, 2022), utilizing seismic clocks (Sens-Schönfelder, 2008;Aravantinos-Zafiris and Sigalas, 2015;Gahlmann and Tassin, 2022), using sound sensors (Dong, 2021;Yang et al, 2021), and guiding waves (Prati, 2006;Li et al, 2021;Thomes et al, 2022) based on periodic structure theory have emerged. For attenuation purposes, locally resonant structures have been used as periodic structures in the frequency of interest to mitigate EWs (Wang M. Y. and Wang X., 2013).…”