Mechanics of Materials ( IF 3.9 ) Pub Date : 2021-07-17 , DOI: 10.1016/j.mechmat.2021.103999 Shengchen Du 1 , Yinsheng Li 1 , Jinxiang Chen 1
To study the mechanical properties of beetle elytra plates (BEPs) with numerical and theoretical methods, this paper selects the basic unit according to the periodicity of the core layer of grid beetle elytra plates (GBEPs) and establishes an equivalent model of the GBEP core layer. The equivalent Young's modulus and equivalent Poisson's ratio of the unit are obtained on the basis of structural mechanics and the energy method. Compared with the results of finite element method (FEM) simulation, the calculation results of this equivalent model are sufficiently accurate when (the ratio of the cylinder radius to the wall thickness of a core unit) is within a certain range. Compared with the case of the grid plate (GP) core unit of the same size, the elastic parameters of the GBEP core unit show no superiority when buckling is not considered. The in-plane equivalent Young's modulus of the GBEP core unit can reach 7 times that of the honeycomb core element of a similar size, and the larger is, the higher the GBEP core unit performance. In this paper, an equivalent model of GBEPs is established and compared with GPs and honeycomb plates (HPs) in FEM and theoretical analysis, laying a foundation for the application of the equivalent model in FEM analysis.
中文翻译:
甲虫鞘翅板芯面内等效弹性参数的计算
为利用数值和理论方法研究甲虫鞘翅板(BEPs)的力学性能,根据网格甲壳虫鞘翅板(GBEPs)芯层的周期性选择基本单元,建立GBEP芯层的等效模型。 . 单元的等效杨氏模量和等效泊松比是在结构力学和能量法的基础上得到的。与有限元法(FEM)仿真结果相比,该等效模型的计算结果足够准确(圆柱半径与芯单元壁厚的比值)在一定范围内。与相同尺寸的网格板(GP)芯单元的情况相比,GBEP芯单元的弹性参数在不考虑屈曲的情况下没有表现出优越性。GBEP芯单元的面内等效杨氏模量可以达到同等尺寸蜂窝芯单元的7倍,更大的即,GBEP 核心单元性能越高。本文建立了GBEPs的等效模型,并与GPs和蜂窝板(HPs)在有限元和理论分析中进行了比较,为等效模型在有限元分析中的应用奠定了基础。