For the mechanical analysis of the D‑shaped flanged convex head structure,three analytical methods are adopted in this paper:GB 150/ASME Ⅷ-1(Method 1),the method from ASME Ⅷ-2 based on the improved approximate solution theory for spherical shells approximated as cylindrical shells(Method 2),and the proposed method based on the approximate solution theory for spherical shells approximated as shallow shells(Method 3).A comparative study is carried out among the three analytical solutions and the finite element analysis(FEA) results.The results show that for flange stress,the errors between Method 1 and FEA range from 82.32% to 130.73%,those between Method 2 and FEA range from 3.99% to 5.19%,and those between Method 3 and FEA range from 7.09% to 9.21%.For the edge stress of the spherical head(not calculated by Method 1),the errors relative to FEA range from 3.16% to 7.73% for Method 2 and from 0.4% to 6.24% for Method 3.
| 科 Family | 属数 Number of genus | 种数 Number of species | 占总种数比例 Percentage of total species (%) | 属 Genus | 种数 Number of species | 占总种数比例 Percentage of total species (%) |
|---|---|---|---|---|---|---|
| 鹅膏菌科Amanitaceae | 2 | 11 | 5.26 | 鹅膏菌属 Amanita | 10 | 4.78 |
| 小菇科 Mycenaceae | 2 | 12 | 5.74 | 丝盖伞属 Inocybe | 5 | 2.39 |
| 多孔菌科 Polyporaceae | 8 | 14 | 6.70 | 蜡蘑属 Laccaria | 5 | 2.39 |
| 红菇科 Russulaceae | 3 | 23 | 11.00 | 小皮伞属 Marasmius | 6 | 2.87 |
| 小菇属 Mycena | 11 | 5.26 | ||||
| 光柄菇属 Pluteus | 5 | 2.39 | ||||
| 红菇属 Russula | 17 | 8.13 | ||||
| 栓菌属 Trametes | 5 | 2.39 |