圆柱壳剪变形理论的精度分析

本文首先探讨了控制微分方程组的加权残值法解，证明了其方差泛函I(u)的极值存在。接着又建立了圆柱壳的剪变形理论，并通过算例用上述方法对圆柱壳剪变形理论(其基本方法是由五个二元二阶偏微分方程联立而成的微分方程组)的精度进行了分析。结果表明:本文·提出的控制微分方程的加权残值法解是成功的;而且圆柱壳的剪变形理论有满意的精度。

ANALYSIS OF PRECISION OF SHEAR DEFORMATION THEORY OF CYLINDRICAL SHELLS

The solution of differential equations’MWR is approached in thispaper, It is proved that the minimum of the square functional I(u) of this method is existent, Then，the shear deformation theory of cylindricalshells is established. By using the method in examples，the precision ofthe shear deformation theory of cylindrical shells is analysed(its funda-mental relations contain five second-order partial differential equations oftwo variables).The results show that the solution of differential equat-ionsl MWR is successful，and the precision of the shear deformationtheory of cylindrical shells is satisfactory.