Bandgap characteristics of the two-dimensional missing rib lattice structure

作     者：Fan YANG Zhaoyang MA Xingming GUO Fan YANG;Zhaoyang MA;Xingming GUO

作者机构：Shanghai Institute of Applied Mathematics and MechanicsShanghai Key Laboratory of Mechanics in Energy EngineeringShanghai UniversityShanghai 200072China 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2022年第43卷第11期

页      面：1631-1640页

核心收录：

学科分类：07[理学] 082403[工学-水声工程] 08[工学] 070206[理学-声学] 0824[工学-船舶与海洋工程] 0702[理学-物理学] 

基　　金：supported by the National Natural Science Foundation of China(Nos.11872233 11472163 and 12102245) 

主　　题：elastic metamaterial missing rib structure Floquet-Bloch theorem bandgap vibration mode 

摘      要：In this paper,the bandgap characteristics of a missing rib lattice structure composed of beam elements are investigated by using the Floquet-Bloch *** tuning of the width and position of the bandgap is achieved by changing the local structural parameters,i.e.,the rotation angle,the short beam length,and the beam *** order to expand the regulation of the bandgap,the influence of the material parameters of the crossed long beams inside the structure on the bandgap is *** results show that the mass density and stiffness of the structure have significant effects on the bandgap,while Poisson’s ratio has no effect on the *** analyzing the first ten bands of the reference unit cell,it can be found that the missing rib lattice structure generates multiple local resonance bandgaps for vibration reduction,and these bandgap widths are *** modal analysis reveals that the formation of the bandgap is due to the dipole resonance of the lattice structure,and this dipole resonance originates from the coupling of the bending deformation of the beam *** the band structure,the vibrational mode of the 9th band with a negative slope corresponds to a rotational resonance,which is different from that with the conventional negative slope formed by the coupling of two resonance *** study can provide a theoretical reference for the design of simple and lightweight elastic metamaterials,as well as for the regulation of bandgaps and the suppression of elastic waves.