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本文基于计及横向剪切变形的修正Ｋｉｒｃｈｈｏｆｆ－Ｌｏｖｅ假定，采用与反映壳体中面法向偏转的正文张量对应的转角矢量来描述薄壳结构的有限转动，建立了经历有限变形和有限转动薄壳结构的非线性理论。其间，导出了其壳体黎曼空间中的Ｇｒｅｅｎ－Ｌａｇｒａｎｇｅ应变张量和第二类Ｐｉｏｌａ－Ｋｉｒｃｈｈｏｆｆ应力张量的表达形式，并通过虚功原理，建立了薄壳结构的非线性平衡关系。
In this paper, based on the modified Kirchhoff-Love assumption, which takes into account the transverse shear deformation, the rotation vector corresponding to the textual tensor reflecting the normal deflection of the shell is used to describe the finite rotation of the thin shell structure, and the finite deformation and limited rotation are established. Thin Shell Structure Nonlinear Theory. In the meantime, the Green-Lagrange strain tensor and the second type of Piola-Kirchhoff stress tensor in the shell Riemannian space are derived. Based on the principle of virtual work, the nonlinear equilibrium relationship of the thin shell structure is established.