球壳铀对称弯曲问题的边缘效应

THE PERIPHERAL EFFECT OF THE BEND OF AXIAL SYMMETRY FOR SPHERICAL SHELL

摘要: 本文提出挠度W的四阶齐次微分方程。它的优点是:(1)新微分方程满足边界条件非常简单。而原横向剪力Q₁微分方程满足边界条件计算极其复杂。(2)新微分方程和原Q₁微分方程的精度是相同的。(3)新微分方程可得到挠度和转角公式,而原Q₁微分方程是做不到这点的。新微分方程使球壳的计算得到简化。

Abstract: In this paper,the homogeneous fourthorder differential equation of deflection w is given.Comparing with the original shear Q₁ differential equation,it's advantage is stated as: 1、It is especially simply to satisfy the boundary condition. 2、The precision is same. 3、The expression of deflection and angle may be obtained.In short, using the new differential equation the calculation of spherical shell will be simple.