内圧を受ける一般異方性円筒殻の閉じた解と最適化

抄録

Closed-form solutions for anisotropic cylinders with bending-in-plane, shear-stretching, and twisting-bending coupling stiffness under internal pressure were derived by neglecting transverse shear deformation. The solution provides more accurate bending stress on the bending boundary layer compared with solving a more precise equation including transverse shear deformation. Because the closed-form solution can be calculated directly without iteration, it is useful for optimization problems. The solution was applied to the optimization problem of maximizing the margin of safety (MS) of stress on the bending boundary layer by combining it with the Monte-Carlo method gradient descent method. The result shows that an asymmetric layup has a larger MS than a symmetric layup. This means the closed-form solution including the coupling stiffness through the asymmetric layup is useful.