用样条函数法分析旋转组合壳

Analysis of combined shells of revolution using the method of spline function

本文采用不等距三次Ｂ样条函数对旋转壳在整体坐标下的位移进行插值，给出了周向插值所必需满足的周期性条件，采用罚单元法，给出了组合壳体在整体坐标下的协调关系，与惯用方法相比，这种方法简单明了直观性强，易于接受。文末给出了算例。

In this paper,an unequidistant bicubic B-spline function is employed to represent the displacement compo-nents of a combined shell of revolution forming a function of interpolation in global coordinates to solve the staticproblem of this kind of shell.By this way,it also gives out circumferentional peridical conditions satisfactory forthe requirement of the circumferentional function of interpolation. In this paper,by the use of the penalty ele-ment,compatible relations of the connection of dlifferent shells of revolution under globle coordinate are provid-ed.In the solution,this method proved to be simple,clear in principle and readily understandable. One numeri-cal example is given.