大型复合材料夹芯筒屈曲分析中芯材剪切变形与壳体锥度的影响

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。

EFFECT OF SANDWICH SHEAR DEFORMATION AND SHELL TAPER ANGLE ON ELASTIC BUCKLING OF LARGE-SCALE COMPOSITE SANDWICH TUBE

The elastic buckling problem of large-scale composite sandwich tubes in a satellite structure is analyzed.The geometry equations,constitutive equations and strain energy expressions of cylinder shell,conical shell and frames are constructed separately.And the potential energy of external forces is obtained under given loading conditions.According to the boundary conditions,the trigonometric series are applied to describing the displacement field.The principle of minimum potential energy is used to determine the critical load.The critical loads are obtained considering or neglecting the effects of sandwich shear deformation and shell taper angle separately,and then they are compared between the two conditions,demonstrating that the maximum error is less than 10%.Based on this research,a simplified method can be applied in the design stage of the large-scale composite sandwich tube in engineering.