加肋缺陷旋转壳非线性数值分析

The Nonlinear Numerical Analysis for the Shell of Revolution with Meridional Ribs Considering Arbitrary Initial Geometrical Imperfections

本文用加权残值法成功地研究了具有初始几何缺陷的子午向加肋旋转壳的小应变、大转动、大位移问题。文中把子午肋作为曲梁来处理，推出了子午肋４种变形组合下的几何非线性应变阵又肋截面主惯性轴方向任意时的内力方程。用最小二乘配点法建立求解式，用联合法解非线性方程组。用简便而相对精确的方法解大变形组合壳体是本文的特点。

Applying the method of weighted residuals,this paper can successfully study the problem of small atrain,large rotation and large displacement for the shell with meridional ribs considering arbitrary initial geometrical imperfections. In this paper,the meridional ribs are treated as curve beams,considering four kinds of deformation,the geometrical nonlinear strain matrix of these ribs is deduced,then, the internal force formulas is given,when the direction of principal axes of ribs section is arbitrary. Using least Square method for the combinative structure,the solving equations are set up,and the united method is given to solve the nonlinear equations.Using simple and relative precise method to solve the complex and large deflection structure is the feature of this paper. The examples show that the method is satisfactory.