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针对某卫星结构中的大型复合材料夹芯承力筒进行屈曲分析。首先分别建立柱壳段、锥壳段和框段的几何方程、物理方程与应变能表达式,以及给定载荷条件下的外力势能表达式。然后根据位移边界条件采用正交完备的三角级数构造承力筒的位移模态,最后根据最小势能原理求解临界载荷。通过对比计及与不计及芯材剪切变形和壳体锥度时临界载荷的计算结果,发现对于该承力筒而言,芯材剪切变形与壳体锥度对临界载荷计算结果的影响均小于10%。该分析结果为承力筒在设计阶段的简化计算提供了理论依据。
Buckling Analysis of Large Composite Sandwich Tube in a Satellite Structure. First of all, the geometrical equations, the equations of the physical equations and the strain energy, and the expression of the external force under a given load are established respectively. Then according to the displacement boundary conditions, the orthogonal modeled trigonometric series is used to construct the displacement mode of the tube. Finally, the critical load is solved according to the principle of minimum potential energy. By comparing the calculated results with the critical loads without considering the shear deformation and the taper of the core, it is found that the influence of the shear deformation of the core and the shell taper on the calculation results of the critical load are less than 10%. The analysis results provide a theoretical basis for the simplified calculation of the tube during the design stage.