基于精确板理论的复合材料格栅/波纹夹芯结构屈曲特性

Buckling characteristics of composite grid/corrugated sandwich structure based on refined plate theory

  • 摘要: 提供了一种分析全复合材料格栅/波纹夹芯板屈曲特性的解析模型。将格栅、波纹芯子视为连续性单层,基于精确板理论推导了全复合材料波纹/格栅夹芯板的内力-应变关系;在考虑复合材料芯子壁板各向异性和横向剪切变形的基础上,基于均质化理论分别推导了复合材料正交格栅和梯形波纹芯子的等效弹性常数;利用最小势能原理得到了全复合材料格栅/波纹夹芯板屈曲平衡微分方程,求解了3种边界条件下的屈曲临界载荷,解析计算的结果与有限元仿真结果进行对比的误差在5%以内,验证了解析模型的正确性和有效性。基于验证过的模型对比分析了铺层角度、铺层数等铺层参数以及芯子高度、波纹倾角和格栅间距等结构参数对全复合材料格栅/波纹夹芯板屈曲临界载荷、比屈曲临界载荷的影响规律,为该类型结构的屈曲特性分析和优化设计提供理论指导。

     

    Abstract: An analytical model for analyzing the buckling characteristics of full composite grid/corrugated sandwich panels was provided. Regarding the corrugation and the grid core as a continuous single layer, the internal force-strain relationship of the full composite corrugated/grid sandwich panel was derived based on the refined plate theory. On the basis of considering the anisotropy and transverse shear deformation of the composite core panel, the equivalent elastic constants of composite orthogonal grid and trapezoidal corrugations cores were deduced based on the homogenization theory. Using the minimum potential energy principle, the buckling balance differential equation of full composite grid/corrugated sandwich panels was obtained, and the critical buckling load under three boundary conditions was transformed. The analytical results were compared with the finite element simulation and the errors are within 5%, which validates the correctness and effectiveness of the analytical model. The verified model was used to compare and analyze the effect of the layers angle, number of layers as well as the height of core, inclination angle of corrugation and grid spacing on the critical buckling load and the specific critical buckling load of the full composite grid/corrugated sandwich pane, which provides theoretical guidance for the buckling characteristic analysis and optimal design of this type of structure.

     

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