[4] [4] PARK S, JEON W. Ultra-wide low-frequency band gap in a tapered phononic beam［J］. Journal of Sound and Vibration, 2021, 499: 115977.

[6] [6] HUANG Y L, LI J, CHEN W Q, et al. Tunable bandgaps in soft phononic plates with spring-mass-like resonators［J］. International Journal of Mechanical Sciences, 2019, 151: 300-313.

[7] [7] LI J, WANG Y T, CHEN W Q, et al. Harnessing inclusions to tune post-buckling deformation and bandgaps of soft porous periodic structures［J］. Journal of Sound and Vibration, 2019, 459: 114848.

[8] [8] ARAVANTINOS-ZAFIRIS N, KANISTRAS N, SIGALAS M M. Acoustoelastic phononic metamaterial for isolation of sound and vibrations［J］. Journal of Applied Physics, 2021, 129(10): 105108.

[9] [9] JOSHILKAR M P. Analysis of honeycomb structure［J］. International Journal for Research in Applied Science and Engineering Technology, 2018, 6(5): 950-958.

[10] [10] SHIFA M, TARIQ F, CHANDIO A D. Mechanical and electrical properties of hybrid honeycomb sandwich structure for spacecraft structural applications［J］. Journal of Sandwich Structures & Materials, 2021, 23(1): 222-240.

[12] [12] GIBSON L J, ASHBY M. Cellular solids ［M］. Oxford: Pergamon Press, 1988:192-196.

[13] [13] PRAWOTO Y. Seeing auxetic materials from the mechanics point of view: a structural review on the negative Poisson's ratio［J］. Computational Materials Science, 2012, 58: 140-153.

[16] [16] WANG H, LU Z X, YANG Z Y, et al. In-plane dynamic crushing behaviors of a novel auxetic honeycomb with two plateau stress regions［J］. International Journal of Mechanical Sciences, 2019, 151: 746-759.

[17] [17] HU L L, ZHOU M Z, DENG H. Dynamic crushing response of auxetic honeycombs under large deformation: theoretical analysis and numerical simulation［J］. Thin-Walled Structures, 2018, 131: 373-384.

[18] [18] HOU X H, DENG Z C, ZHANG K. Dynamic crushing strength analysis of auxetic honeycombs［J］. Acta Mechanica Solida Sinica, 2016, 29(5): 490-501.

[19] [19] TAN H L, HE Z C, LI K X, et al. In-plane crashworthiness of re-entrant hierarchical honeycombs with negative Poisson’s ratio［J］. Composite Structures, 2019, 229: 111415.