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Far-field blast responses of sandwich arbitrary polygonal reinforced plate system
International Journal of Mechanical Sciences ( IF 7.3 ) Pub Date : 2023-03-11 , DOI: 10.1016/j.ijmecsci.2023.108281
Dong Shao, Yonghui Zhao, YongQiang Tao, Yilun Zhang, Guohua Gao

This paper presents a spectral element model for investigating the dynamic response characteristics of the arbitrary polygonal built-up reinforced plate system subjected to far-field blast load. In the researched system, the plate elements are made of sandwich materials with functionally graded carbon nanotube reinforced (FG-CNTRC) panels and three-dimensional graphene foam (3D-GrF) core. The stiffness matrix assembly method is incorporated into the spectral element method (SEM) for establishing the overall dynamic formulas of arbitrary assembled plates. Thereinto, the governing equations of motion of plate elements are derived by the Hamilton's principle based on the simple first-order shear deformation theory (S-FSDT) retaining only four displacement variables, which provides an advantage to maintain interelement continuity conditions completely. After that, the natural frequencies and transient responses of the systems with different built-up forms are solved by introducing a golden section search algorithm and Fourier series expansion of the blast load. The admirable predictive accuracy of the present model is verified by comparing the obtained results and the reference solution from finite element method (FEM). Moreover, the effects of the CNT distribution form, CNT volume fraction, 3D-GrF pore distribution form, 3D-GrF porosity, the thickness ratio of the sandwich panel, TNT mass and explosion radius on the transient vibration properties of the system are revealed through a detailed parametric study.



中文翻译:

三明治任意多边形加强板系统的远场爆炸响应

本文提出了一种谱元模型,用于研究远场爆炸载荷作用下任意多边形组合钢筋板系统的动力响应特性。在研究的系统中,板元件由夹层材料制成,具有功能梯度碳纳米管增强(FG-CNTRC)面板和三维石墨烯泡沫(3D-GrF)芯。将刚度矩阵拼装法与谱元法(SEM)相结合,建立任意拼装板的整体动力学公式。其中,基于简单的一阶剪切变形理论(S-FSDT),仅保留四个位移变量,通过哈密顿原理导出板单元的运动控制方程,这提供了完全保持元素间连续性条件的优势。之后,通过引入黄金分割搜索算法和爆炸载荷的傅里叶级数展开求解不同组合形式系统的固有频率和瞬态响应。通过将所得结果与有限元法 (FEM) 的参考解进行比较,验证了本模型令人钦佩的预测精度。此外,揭示了CNT分布形式、CNT体积分数、3D-GrF孔分布形式、3D-GrF孔隙率、夹层板厚度比、TNT质量和爆炸半径对系统瞬态振动特性的影响。详细的参数研究。通过引入黄金分割搜索算法和爆炸载荷的傅里叶级数展开求解不同组合形式系统的固有频率和瞬态响应。通过将所得结果与有限元法 (FEM) 的参考解进行比较,验证了本模型令人钦佩的预测精度。此外,揭示了CNT分布形式、CNT体积分数、3D-GrF孔分布形式、3D-GrF孔隙率、夹层板厚度比、TNT质量和爆炸半径对系统瞬态振动特性的影响。详细的参数研究。通过引入黄金分割搜索算法和爆炸载荷的傅里叶级数展开求解不同组合形式系统的固有频率和瞬态响应。通过将所得结果与有限元法 (FEM) 的参考解进行比较,验证了本模型令人钦佩的预测精度。此外,揭示了CNT分布形式、CNT体积分数、3D-GrF孔分布形式、3D-GrF孔隙率、夹层板厚度比、TNT质量和爆炸半径对系统瞬态振动特性的影响。详细的参数研究。通过将所得结果与有限元法 (FEM) 的参考解进行比较,验证了本模型令人钦佩的预测精度。此外,揭示了CNT分布形式、CNT体积分数、3D-GrF孔分布形式、3D-GrF孔隙率、夹层板厚度比、TNT质量和爆炸半径对系统瞬态振动特性的影响。详细的参数研究。通过将所得结果与有限元法 (FEM) 的参考解进行比较,验证了本模型令人钦佩的预测精度。此外,揭示了CNT分布形式、CNT体积分数、3D-GrF孔分布形式、3D-GrF孔隙率、夹层板厚度比、TNT质量和爆炸半径对系统瞬态振动特性的影响。详细的参数研究。

更新日期:2023-03-11
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