一般夹层旋转壳在轴对称变形下的大挠度方程

Large Deflection Equation of Axisymmetrical Deformation Problem for a General Sandwich Shell of Revolution

应用最小势能原理建立了具有不同质不等厚薄表层和软夹心的一般夹层旋转壳在轴对称变形下的非线性理论,得到了一组相对简单的夹层壳大挠度方程和边界条件。在分析壳体的变形时,将表层视作薄膜,假设夹心沿厚度方向不可压缩且只能承受横向剪应力,参考面的法线在变形时保持为直线。为便于实际应用,给出几种特殊壳体情况下的大挠度方程。

In this paper, the nonlinear theory of axisymmertrical deformation problem for a general sandwich shell of revolution with dissimilar surface layers and soft core is presented. The large deflection equation and boundary conditions are derived by thr principle of minimum potential energy. In this analysis, the surface layer is treated as membrane, the core is assumed to be incompressible in the thickness direction and to carry only transverse shear stress. The assumption of the normals remain straight after deformation is used. In some special cases of typical shells, the simplified large deflection equations are obtained.