样条函数线法分析壳体非线性问题

Spline Function Method of Lines for Analyzing Nonlinear Problem of Shells

采用样条函数线法分析了圆柱壳及具有封闭截面壳体的几何非线性问题．用样条函数插值将二维非线性偏微分问题化为一组用径向结线位移增量表示的非线性常微分方程，然后用常微分方程求解器迭代求解；还导出了用于非线性分析的样条函数线法增量方程；最后给出了算例．

The spline function methods of lines is used in analyzing nonlinear problems of cylindrical shells. The interpolation of B spline function comes into use for changing partial differential equations into ordinary differential equations on a series of lines. The ODEs is solved by ODE solver IVMODE. The increment equations of the spline function method of lines are also given out for analyzing the nonlinear problem. The analyzed result correspond well to the exist values.