静水压力作用下环肋圆柱壳的三维应力分析方法

THREE DIMENSIONAL STRESS ANALYSIS METHOD OF RING-STIFFENED CYLINDRICAL SHELL UNDER HYDROSTATIC PRESSURE

  • 摘要: 环肋圆柱壳是水下工程产品中应用最为广泛的耐压结构,静水压力作用下其传统应力分析方法是将圆柱壳简化为双向应力状态的弯曲梁来研究。随着深海技术的发展,水下工程产品耐压结构逐渐呈现大深度载荷、大厚度结构的新设计特征,显然传统的圆柱壳双向应力状态假设已不成立。论文提出了一种新的环肋圆柱壳简化力学模型,将静水压力作用下的环肋圆柱壳应力分析转化为轴向力作用下的复杂弯曲梁应力和径向力作用下的轴对称平面圆环应力的叠加。通过求解分析环壳弯曲微分方程和平面圆环问题,导出了环肋圆柱壳的三维应力分析方法,可用于计算环肋圆柱壳任意位置的三维应力。算例结果表明,三维应力分析方法关于新结构设计特征的环肋圆柱壳应力计算结果与其有限元仿真结果吻合较好,与传统应力分析方法相比具有更好的计算精度,且计算结果相对偏安全。同时还发现,新结构设计特征下的环肋圆柱壳其应力特性与传统薄圆柱壳相比具有显著差异,在对其结构应力计算和强度安全评估时应引起关注。

     

    Abstract: The ring-stiffened cylindrical shell is the most widely used pressure structure in underwater engineering products. The traditional stress analysis method of ring-stiffened cylindrical shell under hydrostatic pressure is to simplify the cylindrical shell as a bending beam in bidirectional stress state. With the emergence of new design features such as large depth loads and large thickness in deep-sea pressure structure, the assumption of bidirectional stress state for cylindrical shell becomes unreasonable. This paper proposed a simplified mechanical model for ring-stiffened cylindrical shell, which transforming the stress problem of ring-stiffened cylindrical shell under hydrostatic pressure to the superposition of bending beam stress under axial force and plane annulus stress under radial force, and thereby a three dimensional stress analysis method of ring-stiffened cylindrical shell has been derived. The calculation results of the example show that the proposed method is in good agreement with the finite element simulation results of the ring-stiffened cylindrical shell with new structural design features. Compared with traditional stress analysis methods, the proposed method has better calculation accuracy and relatively safer calculation results. At the same time, it is found that the stress characteristics of the ring-stiffened cylindrical shell under the new structural design features are significantly different from those of the traditional thin cylindrical shell.

     

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