考虑几何特征的方形蜂窝夹层板总体屈曲载荷求解方法

GLOBAL BUCKLING ANALYSIS OF SQUARE-HONEYCOMB SANDWICH PLATES CONSIDERING GEOMETRY CHARACTERISTICS

  • 摘要: 从方形蜂窝实际结构形式出发,准确考虑面板和芯层的几何特征,在现有经典夹层板理论的基础上,利用能量原理推导出方形蜂窝夹层板在面内载荷作用下平衡微分方程。以简支矩形夹层板为例,采用傅里叶级数和加权残值法进行求解,得到其总体屈曲的临界载荷值,并将其与三维有限元仿真结果进行比较,验证该方法正确性。还讨论了夹层板面板厚度、芯层高度及芯层薄壁间距对总体稳定性影响,数值仿真结果表明:面板厚度和芯层高度对夹层板总体屈曲影响较大,而芯层间距对总体屈曲影响较小。

     

    Abstract: Based on the existing classical model of sandwich panels and energy principle, the equilibrium differential equations of square-honeycomb sandwich plates subjected to in-plane loads are derived, considering the geometry characteristics of the face sheets and the core. The critical pressure of global buckling for simply supported square-honeycomb sandwich plates subjected to in-plane uniform pressure is obtained by using Fourier series and weighted residual method. And the result is compared with that of the finite element analysis to validate the proposed method. Furthermore, effects of geometrical parameters including cell size, core height and face sheet thickness on the global buckling are discussed in the analysis. Numerical results show that core height and face sheet thickness have more effect than cell size on the global buckling of square-honeycomb sandwich plates.

     

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