环肋圆柱壳应力计算的新方法探索

基于对目前环肋圆柱壳应力计算方法缺陷的认识,文中引入了加强棱柱壳体法,推导出环肋圆柱壳静力微分方程,通过将位移以傅立叶级数的形式展开,求出了环肋圆柱壳的位移解,进而得到环肋圆柱壳的应力解。通过算例计算表明,除环肋圆柱壳内表面纵向应力和肋骨周向应力外,用该方法的计算结果与传统方法的计算结果和有限元法结果都相接近,并且纵向应力与周向应力由外到里的变化规律与传统方法也相同。

New Method for Stress Calculation of Ring-Stiffened Cylindrical Shell

Due to the limitation inherent to the traditional method,the stiffened prismatic shell method was incorporated into ring-stiffened cylindrical shell stress calculation.Using this method,a set of static force differential equations was established.Firstly,the ring-stiffened cylindrical shell displacement was dealt with the Fourier series and then the displacement solution was derived,further,the stress of ring-stiffened cylindrical shell was obtained.Example calculations show that the stresses gotten by the new method are approximated to that by the traditional method and the Finite Element Method except the lon-gitudinal stress inside the inner surface of ring-stiffened cylindrical shell and circumferential stress of ring,additionally,the longitudinal stress and the circumferential stress varying from outside to inside is the same as the traditional methods＇.