任意初始几何缺陷薄壳的非线性几何方程

The nonlinear geometrical equations for thin shell with arbitrary initial geometrical imperfections

本文借助于微分几何、矢量分析的工具，在导出了小应变、大转动、大位移薄壳的非线性几何方程的基础上，导出了考虑任意初始几何缺陷薄壳的非线性几何方程．这些公式系统既可用于理论分析，又可用于实际计算，而且可以方便地退化．

The nonlinear geometrical equations of thin shell for small strain. large rotation and large displacement are deduced by means of differential geometry and vector analysis. thus the nonlinear geometrical equations for the thin shell with arbitrary initial geometrical imperfections are deduced. These formulas provide the analysis basis for lots of mechanics methods.