复合材料层合板弯曲刚度参数设计及数值模拟分析

Parameter Design and Numerical Simulation Analysis of Bending Stiffness for Composite Laminates

  • 摘要: 根据层合板弯曲基本方程,以层合板板中心最大挠度为弯曲刚度评价标准,针对横向载荷(垂直于板面)作用下不同边界条件层合板弯曲刚度特性及其铺层参数设计问题展开研究。根据仿真计算结果和理论分析得到以下结论,四边简支层合板(b>a),当边长b值一定时,增大弯曲刚度系数D11,即把接近0°的铺层铺设在最外侧可以显著提高弯曲刚度;四边简支层合板,当b=a时,增大弯曲刚度系数D12和D66,即把±45°的铺层铺设在最外侧可以显著提高弯曲刚度;两对边简支层合板(b>a),当边长b值一定时,增大弯曲刚度系数D22,即把接近90°的铺层铺设在最外侧可以显著提高弯曲刚度,改变a的值对弯曲变形没有影响,即当b一定时,b>a与b=a两对边简支层合板弯曲刚度具有相同的变化规律;一边固支层合板与两对边简支层合板弯曲刚度具有相同的变化规律,但一边固支的约束较少,其层合板板中心最大挠度远大于两对边简支和四边简支的层合板。

     

    Abstract: Based on the basic bending equation of laminated panels, using the maximum deflection at the center of the laminated panel as the evaluation criterion for bending stiffness, this study focuses on the bending stiffness characteristics and layup parameter design of laminated panels under different boundary conditions under lateral loads (perpendicular to the panel surface). Based on the simulation calculation results and theoretical analysis, the following conclusions can be drawn: for simply supported laminated panels with four sides (b>a), when the value of the side length b is constant, increasing the bending stiffness coefficient D11, that is, laying a layer close to 0° on the outermost side, can significantly improve the bending stiffness; When b=a, increasing the bending stiffness coefficients D12 and D66, that is, laying the ±45° layer on the outermost side, can significantly improve the bending stiffness of simply supported laminated panels with four sides; When the value of edge length b is constant for two pairs of simply supported laminates (b>a), increasing the bending stiffness coefficient D22, that is, laying a layer close to 90° on the outermost side, can significantly improve the bending stiffness. Changing the value of a has no effect on bending deformation, that is, when b is constant, the bending stiffness of two pairs of simply supported laminates with edge length b>a and b=a has the same variation law; The bending stiffness of a laminated board with one fixed support and two pairs of simply supported laminated boards has the same variation law, but the constraint of one fixed support is less, and the maximum deflection at the center of the laminated board is much greater than that of two pairs of simply supported and four sided simply supported laminated boards.

     

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