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A comparative analysis of errors between three analytical methods and finite element method for D‑shaped flanged convex head structures
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Chao LI, Yongdong CHEN, Xiaohong WU
Pressure Vessel Technology | 2026, 43(1) : 56 - 66
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Pressure Vessel Technology | 2026, 43(1): 56-66
• Designs & Analyses •
A comparative analysis of errors between three analytical methods and finite element method for D‑shaped flanged convex head structures
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Chao LI, Yongdong CHEN, Xiaohong WU
Affiliations
  • Institute of Heat Transfer Technology and Equipment,Hefei General Machinery Research Institute Co.,Ltd.,Hefei 230031,China
Published: 2026-01-30 doi: 10.3969/j.issn.1001-4837.2026.01.007
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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.

flanged convex spherical head  /  improved approximate solution of cylindrical shell theory  /  approximate solution of shallow shell theory  /  flange stress  /  the edge stress of the spherical head
李超, 陈永东, 吴晓红. D型带法兰凸形封头结构三种解析方法与有限元方法误差对比及分析. 压力容器, 2026 , 43 (1) : 56 -66 . DOI: 10.3969/j.issn.1001-4837.2026.01.007
Chao LI, Yongdong CHEN, Xiaohong WU. A comparative analysis of errors between three analytical methods and finite element method for D‑shaped flanged convex head structures[J]. Pressure Vessel Technology, 2026 , 43 (1) : 56 -66 . DOI: 10.3969/j.issn.1001-4837.2026.01.007
Year 2026 volume 43 Issue 1
76
35
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doi: 10.3969/j.issn.1001-4837.2026.01.007
  • Receive Date:2025-10-21
  • Online Date:2026-10-23
  • Published:2026-01-30
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  • Received:2025-10-21
  • Revised:2026-01-08
Affiliations
    Institute of Heat Transfer Technology and Equipment,Hefei General Machinery Research Institute Co.,Ltd.,Hefei 230031,China
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表12种不同金属材料的力学参数
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
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