非线性曲面球壳单元

A Nonlinear Curved Spherical Shell Element

首次在球座标下建立非线性球壳有限元数学模型，导出了非线性切线刚度矩阵，编制出非线性球壳计算程序．几个算例表明：该单元模型简单、直观、实用，易于处理球壳在复杂几何边界及受载情况下的几何非线性问题．用于工程计算可节省大量机时并具有较高精度．

The mathematical model for nonlinear analysis of spherical shells is first butt in spherical coordinite,and tangential stiffness matrix of nonlinear finite element is produced.The computer practical programs about nonlinear spherical shells are written.Some examples show that the model is simple,direct and practical,by which the geomplicated questions of geometrical boundary and weighted conditions are easily handled and it may save much c.p.u time in engineering analysis.