复合材料球形阵列结构压入力学模型及弯曲变形协调机制

为了从结构力学角度揭示集中载荷作用下复合材料球形阵列结构的弯曲变形协调机制，建立了该结构典型局部板格的压入力学模型，采用载荷叠加法将集中载荷作用下四角点弹性支承且四边受等弯矩正交各向异性矩形板线性弯曲的中心点挠度分为2个部分:集中载荷作用下四角点弹性支承且四边自由的板的挠度，以及四边受等弯矩的板的挠度.前者可进一步分解为集中载荷作用下四角点弹性支承刚性板的挠度和集中载荷作用下四角点刚性支承线弹性板的挠度，后者可进一步分解为左右边简支上下边受相同弯矩的板的挠度以及上下边简支左右边受相同弯矩的板的挠度.将相同厚度的板在不同载荷情况下的挠度计算结果与有限元分析结果进行比较，进一步开展了试验验证，验证了解析解的正确性. 

Indentation Mechanical Model and Deformation Coordination Mechanism of Composite Spherical Array Sandwich Structure

In order to reveal the deformation coordination mechanism of the composite spherical array sandwich structure from the view of structural mechanics, the indentation mechanical model of the typical local plate lattice for the structure was established under a concentrated load.For a rectangular plate with elastic support of four points and equal moment constraints of four edges, the elastic bending deflection under a concentrated load was treated as the superposition of deflections under two cases, a concentrated load with elastic support of four points and free boundary of four edge sadded to equal moments along four edges. The former was further decomposed into the deflection of rigid plate with elastic support of four points and elastic plate with rigid support of four points and free boundary of four edges under the same concentrated load.The latter was also further decomposed into the deflection of the elastic plate with equal moments along two opposite edges and along the other two opposite edges with the same simply supported boundary. The analytical solutions of three plates with different spans and concentrated force positions were compared with finite element method results, demonstrating the accuracy of the proposed solution. Results show that the mechanical model effectively can effectively reveal the bending deformation mechanism and guide the parametric design of the composite spherical array sandwich structure.