Complete vibration band gap characteristics of two-dimensional periodic grid structures
Complete vibration band gap characteristics of two-dimensional periodic grid structures
复制标题
二维周期网格结构的完整振动带隙特性
DOI：
10.1016/j.compstruct.2021.114368
复制
发表时间：
2021-07-23
影响因子：
6.3
通讯作者：
Tang, Li
中科院分区：
文献类型：
--
作者：
Wang, Chuanlong;Yao, Xiongliang;Tang, Li
本文将谱元法与Bloch定理相结合，计算了二维周期性网格结构的完整振动带隙特性，并通过基于谱元法和有限元法的结构振动传递结果进行了验证。根据运动微分方程，首先建立完整的梁单元谱刚度矩阵，然后通过坐标变换和装配法得到网格结构的刚度矩阵，形成基于Bloch边界条件的运动控制方程。周期结构的带隙特性可以通过求解运动方程来计算。通过对二维周期性网格结构带隙分布的分析，得到了不同单元排列方式下的频散关系以及材料和结构参数对带隙特性的影响，可应用于声学设计或减振降噪领域。
In this article, the spectral element method combined with Bloch theorem is applied to calculate complete vibration band gap characteristics of two-dimensional periodic grid structures, which is verified by structural vibration transmission results based on spectral element method and finite element method. According to the differential equation of motion, complete spectral stiffness matrix of beam element is established at first, then stiffness matrix of grid structure can be obtained by coordinate transformation and assembly method, so as to form governing equation of motion based on Bloch boundary conditions. The band gap characteristics of periodic structures can be calculated by solving motion equation. Through band gap distribution analysis of twodimensional periodic grid structures, the dispersion relations of different unit arrangements and effects of material and structural parameters on band gap characteristics are obtained which can be applied to acoustic design or vibration and noise reduction areas.