A homogenization method for natural frequencies and damping analysis of composite pyramidal lattice truss sandwich structures based on representative volume elements

IF 3.5 3区材料科学 Q1 ENGINEERING, MECHANICAL Journal of Sandwich Structures & Materials Pub Date : 2023-04-17 DOI:10.1177/10996362231169982

Chengyu Guan, Zi-Jia Tang, Fei Zhao, Zhiyong Yang, Huimin Li

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引用次数: 3

Abstract

A homogenization method for the vibration analysis of periodic sandwich panels is presented. Periodic boundary conditions are applied to a representative volume element (RVE) of the structures. The complex responses of the RVE under eight sinusoidal excitations are calculated and the complex stiffness matrix of the sandwich panels is obtained by the direct-solution steady-state dynamic analysis (DSDA) using the finite element method (FEM) in the frequency domain. Based on equivalent single-layer (ESL) theory and finite element-modal strain energy (FE-MSE) method, the natural frequencies, the mode shapes and the loss factors of the structures are obtained by shell models. The effectiveness of the homogenization method is validated by using pyramidal lattice truss sandwich panels made of carbon fiber reinforced plastics (CFRP). The results obtained by the homogenization method are compared with those obtained by experiments and solid models. The effects of the number of cells and damping layers are discussed.

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基于代表性体积单元的复合材料锥体晶格桁架夹层结构固有频率和阻尼均匀化分析方法

提出了一种周期夹层板振动分析的均匀化方法。对结构的代表性体积元(RVE)应用周期边界条件。利用频域有限元法(FEM)的直接解稳态动力分析(DSDA)，计算了夹层板在8种正弦激励下的复响应，得到了夹层板的复刚度矩阵。基于等效单层(ESL)理论和有限元-模态应变能(FE-MSE)方法，通过壳模型得到了结构的固有频率、模态振型和损耗因子。以碳纤维增强塑料(CFRP)夹层板为例，验证了均匀化方法的有效性。并将均质法所得结果与实验及实体模型所得结果进行了比较。讨论了单元数和阻尼层数的影响。

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来源期刊

Journal of Sandwich Structures & Materials 工程技术-材料科学：表征与测试

CiteScore

9.60

自引率

2.60%

发文量

审稿时长

7 months

期刊介绍： The Journal of Sandwich Structures and Materials is an international peer reviewed journal that provides a means of communication to fellow engineers and scientists by providing an archival record of developments in the science, technology, and professional practices of sandwich construction throughout the world. This journal is a member of the Committee on Publication Ethics (COPE).