正交各向异性圆柱壳与平板连接处边缘应力分析

Discontinuity stresses at the junction of orthotropic pressurized cylindrical shell with a flat head

根据各向异性薄壳理论对承压圆柱壳与平板连接结构进行了力学分析,获得了圆柱壳连接处的剪力、弯矩、应力解,计算了各向异性弹性模量比对结构连接处的剪力、弯矩以及沿筒体纵向应力分布的影响,并与各向同性的结果进行了对比。结果表明:剪力和弯矩均随着各项异性弹性模量比的增大而增大;各项异性弹性模量与各项同性的情况相比对结构部位的应力影响显著;合理利用材料各向异性性能,可以降低承压结构连接部位的应力水平。研究结果为带有平板封头正交各向异性承压圆柱壳设计提供了参考。

Based on anisotropic thin shell theory, the stress state at the junction of cylinder shell and plate is analyzed, and the solutions of shear force, bending moment and stress at the junction of cylinder shell have been obtained. At the same time, the influences of elastic modulus ratio on shear force, bending moment at the junction and the longitudinal stress distribution are also calculated. Compared with the stress results under isotropic structure, the elastic modulus ratio significantly affects the stress in the anisotropic solution, and the stress at the junction can be markedly decreased by considering the material anisotropic property reasonably. The results in present paper provide a reference for the design of orthotropic pressurized cylindrical shell with a flat head.