面外せん断変形を考慮した一般異方性円筒殻の軸圧縮・ねじりおよび複合荷重における解

概要

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A solution for thin and moderately thick anisotropic cylinders under torsion, axial compression, and combined loads is derived that includes the effects of layup anisotropy and transverse shear deformation. Partial differential equations of equilibrium and boundary conditions are obtained by using the strain-displacement relation in cylindrical coordinates with first-order shear deformation theory and the principle of virtual work. The equations are shown to coincide with Flügge's equation when neglecting transverse shear deformation and layup anisotropy. The solutions satisfy both the partial differential equations of equilibrium and the boundary conditions. In addition, a closed-form particular solution is obtained, and it shows that torsional deformation under axial loading and out-of-plane and axial deformations under torsional loading occur when there is layup anisotropy. Numerical results for a honeycomb-sandwich cylinder with carbon fiber reinforced plastic (CFRP) face sheets and a CFRP laminated monocoque cylinder show that layup anisotropy and transverse shear deformation affect the deformations and stresses of the cylinders complexly and they cannot be predicted by Donnell's shallow shell theory.
一般社団法人日本機械学会の論文