﻿ 加筋圆柱壳开孔结构强度分析
 舰船科学技术  2017, Vol. 39 Issue (1): 12-16 PDF

Strength analysis of stiffened cylindrical shell with a circular opening
ZHANG Jin-lan, LIU Yong, LI Ming
Wuhan Second Ship Research Institute, Wuhan 430064, China
Abstract: The stiffened cylindrical shell with a circular opening is one of the main typical pressure hull structures used in submarine. How to avoid the stress concentration around the opening is a particular concern in the project. In the design process, a number of modeling analysis will lead to low efficiency of design analysis. So, the parametric modeling and analysis program of stiffened cylindrical shell with opening structure is developed. Based on parametric modeling and analysis program, the influence of multi parameters on the stress concentration around the open hole is discussed.
Key words: stiffened cylindrical shell with a circular opening     parametric modeling     stress concentration
0 引言

1 典型加筋圆柱壳开孔结构形式

 图 1 围壁加强结构形式 Fig. 1 Enclosing wall reinforced structure

 图 2 围壁与复板加强结构形式 Fig. 2 Enclosing wall and embedded platereinforced structure

 图 3 围壁加强结构有限元模型 Fig. 3 Enclosing wall reinforced structurefinite element model

 图 4 围壁和复板加强结构有限元模型 Fig. 4 Enclosing wall and embedded plate reinforced structurefinite element model
2 结构参数化建模

 图 5 围壁加强结构示意图 Fig. 5 Enclosing wall reinforced structurediagram

 图 6 围壁和复板加强结构示意图 Fig. 6 Enclosing wall and embedded platereinforced structurediagram
3 方法验证

 $\xi =1.285H\sqrt{a\delta },$ (1)
 $\eta = c/H,$ (2)
 $c = {c_2} + 0.5R\left\{ {1- \cos \left[ {\arcsin \left( {a/R} \right)} \right]} \right\},$ (3)
 ${A_c} = \xi \delta \sqrt {a\delta } + t\delta ,$ (4)
 ${\sigma _\theta } = \frac{{pR}}{t},$ (5)
 ${\sigma _{\theta \max }} = {K_\sigma }{\sigma _\theta }。$ (6)

 图 7 围壁有效高度系数 Fig. 7 Enclosing wall Effective height coefficient

 图 8 孔边壳板应力集中系数 Fig. 8 Hole edge plate stress concentration coefficient

4 结构参数对应力集中的影响

4.1 围壁尺寸

4.1.1 围壁高度

 图 9 高度H1 对开孔周围应力集中的影响 Fig. 9 Effect of heightH1 on the stress concentration around the open hole

 图 10 高度H2 对开孔周围应力集中的影响 Fig. 10 Effect of heightH2 on the stress concentration around the open hole

4.1.2 围壁厚度

 图 11 厚度δ 对开孔周围应力集中的影响 Fig. 11 Effect of thicknessδ on the stress concentration around the open hole

4.2 嵌入厚板的尺寸

4.2.1 嵌入厚板半宽

 图 12 半宽b 对开孔周围应力集中的影响 Fig. 12 Effect of half-widthb on the stress concentration around the open hole

4.2.2 嵌入厚板厚度

 图 13 厚度t1 对开孔周围应力集中的影响 Fig. 13 Effect of thicknesst1 on the stress concentration around the open hole

5 结语

1）本文编写的参数化建模程序，设计变量较多较全面，能够很好地完成典型耐压船体开孔结构的建模工作，提高了设计工作效率，分析结果与规范计算结果吻合良好。

2）本文讨论了多个参数对于开孔周围应力集中的影响，分析得出围壁高度、围壁厚度和嵌入厚板的厚度对于开孔周围应力的影响较大，随着围壁高度、围壁厚度和嵌入厚板的厚度的增加，开孔周围应力减小；而嵌入厚板的半宽对于开孔周围的应力几乎没有影响，随着厚度的变化，开孔周围应力变化很小，为设计工作提供了参考。

 [1] ﻿施涛. 典型耐压船体开孔加强结构优化设计[D]. 武汉: 华中科技大学, 2012 [2] 朱邦俊, 王玉华. 开孔圆柱薄壳结构有限元分析[J]. 计算结构力学及其应用 , 1984, 1 (3):91–98. [3] 许兵. 切断一根肋骨的圆柱壳开孔应力分析[J]. 舰船科学技术 , 2004, 26 (S):13–17. [4] 周猛猛, 杨宇华, 耿黎明, 等. 围壁补强的圆柱壳开孔结构有限元分析[J]. 船海工程 , 2014, 43 (2):4–6.