复合材料夹芯板弯曲分析的双变量精确板理论

针对全复合材料正交格栅/梯形波纹夹芯板的弯曲刚度问题,提出一种基于双变量精确板理论的分析模型.采用均质化理论将两种芯子均等效为正交各向异性连续体,基于双变量高阶剪切变形理论的位移场和最小势能原理推导了夹芯板弯曲平衡微分方程.利用四边简支、对边简支和自由两种边界条件下的弯曲挠度和剪切挠度双变量的求解结果计算了夹芯板整体刚...

Two-variable Refined Plate Theory for Bending Analysis of Composite Sandwich Panels

Aiming at the bending stiffness of the full composite orthogonal grid/trapezoidal corrugated sandwich panel, an analysis model based on two-variable refined plate theory was proposed. The two kinds of cores were equivalent to orthotropic continuum using the homogenization theory, and the differential equation for the bending balance of the sandwich panel was derived based on the two-variable high-order shear deformable theory displacement field and the principle of minimum potential energy. Utilizing the two-variable solution of bending deflection and shear deflection under two boundary conditions, four sides simply supported, loading opposite sides simply supported and the others free, the overall stiffness of the sandwich panel was calculated. The errors between the analytical calculation and the finite element simulation were within ±6%, which validated the correctness and effectiveness of the analytical model. The results of the parameter analysis show that the corrugated core has greater enhancement effect on the bending stiffness than the grid core, and the lightweight effect of the composite corrugated sandwich panel is more significant; increasing the number of panels or the height of the core will significantly improve the bending stiffness and specific bending stiffness of this two kinds of sandwich panels.