蓄能器壳体的塑性极限载荷和失效分析

蔡鹏辉; 李靖琳; 沈正祥; 翟彬彬; 吴彩保; 黄焕东; 宋鹏飞

doi:10.11858/gywlxb.20210867

蓄能器壳体的塑性极限载荷和失效分析

doi: 10.11858/gywlxb.20210867

1.
宁波市特种设备检验研究院，浙江宁波　315048
2.
浙江工业大学机械工程学院，浙江杭州　310014
3.
宁波大学机械工程与力学学院，浙江宁波　315211

基金项目: 浙江省基础公益研究计划（LGF21E040003）；浙江省市场监督管理局科研计划（20190330）；宁波市质量技术监督局科技项目（2019）

详细信息

作者简介:
蔡鹏辉（1993—），男，本科，助理工程师，主要从事蓄能器型式试验研究. E-mail：1187998066@qq.com

通讯作者:
沈正祥（1984—），男，博士，副研究员，主要从事特种设备安全技术研究. E-mail：shenzx84@163.com

中图分类号: O347.3; TQ053.2
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出版历程
- 收稿日期: 2021-08-18
- 修回日期: 2021-08-31
- 刊出日期: 2022-05-30

Plastic Limit Load and Failure of Accumulator Shell

1.
Ningbo Special Equipment Inspection & Research Institute, Ningbo 315048, Zhejiang, China
2.
College of Mechanical Engineering, Zhejiang University of Technology, Hangzhou 310014, Zhejiang, China
3.
Faculty of Mechanical Engineering and Mechanics, Ningbo University, Ningbo 315211, Zhejiang, China

摘要

摘要: 结构完整性是液压蓄能器设计制造的重要依据，为确定内压作用下某蓄能器壳体的最大承载能力，采用弹塑性理论分析、数值仿真与试验研究相结合的方法，对壳体塑性极限载荷和失效位置进行研究。结果显示：由于未考虑壁厚的影响，理想弹塑性分析结果明显偏高；尽管忽略了应变强化效应，但是通过荷载因子逐步加载，非线性有限元仿真得出的极限载荷仍然比较接近爆破试验实测值，误差仅为3.5%，并且预测的塑性失效位置与实际破口部位基本一致，说明非线性有限元Risk法能够获得更符合实际的结果，可用于简单薄壁压力容器的分析设计。
- 蓄能器 /
- 塑性 /
- 极限载荷 /
- 非线性有限元 /
- 爆破
Abstract: Structural integrity is an important basis for the design and manufacture of hydraulic accumulator. In order to determine the maximum bearing capacity of an accumulator shell under internal pressure, the plastic limit load and failure location of the shell are studied based on elasto-plastic analysis, numerical simulation and experiments. The results show that the perfect elasto-plastic analysis is obviously higher due to the lack of consideration of the wall thickness. Although the strain strengthening effect is ignored, the calculation result of nonlinear finite element method using step-by-step iteration of load factor is very close to the measured value of the blasting test with an error of only 3.5%, and the predicted plastic failure is consistent with the actual fracture. It shows that the Risk method is more accurate and can be used for the analysis and design of simple thin-walled pressure vessels.
- accumulator /
- plasticity /
- limit load /
- nonlinear finite element /
- blasting

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图 1 蓄能器产品及其壳体

Figure 1. Accumulator product and the shell

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图 2 35CrMo钢的拉伸应力-应变曲线

Figure 2. Tensile stress-strain curve of 35CrMo steel

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图 3 理想弹塑性材料的本构模型

Figure 3. Constitutive model of perfect elastoplastic material

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图 4 数值模型

Figure 4. Numerical model

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图 5 Mises应力分布（弧长为20.97）

Figure 5. Mises stress distribution (The arc length is 20.97)

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图 6 等效塑性应变分布（弧长为20.97）

Figure 6. Equivalent plastic strain distribution (The arc length is 20.97)

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图 7 塑性极限载荷比例因子

Figure 7. Plastic limit load proportionality factor

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图 8 爆破试验装置示意图

Figure 8. Schematic diagram of blasting test device

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图 9 静态爆破压力时程曲线

Figure 9. Static blast pressure-time curve

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图 10 壳体的失效位置

Figure 10. Failure position of the shell

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表 1 主要计算参数

Table 1. Main calculation parameters

p₀/MPa D₀/mm D_i/mm t/mm L/mm $\sigma\rm _y$/MPa $\sigma\rm_b$/MPa

91.762 299.0 270.2 14.4 971 820 946

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表 2 不同方法得到的极限载荷对比

Table 2. Comparison of limit loads obtained with different methods

Limit load/MPa Burst pressure
(test)/MPa

Test Finite element simulation Elasto-plastic analysis

92.2 95.4 96.7 105.9

下载: 导出CSV

参考文献(23)

[1]	涂善东, 轩福贞. 高温承压设备结构完整性技术 [J]. 压力容器, 2005, 22(11): 39–47. doi: 10.3969/j.issn.1001-4837.2005.11.011 TU S T, XUAN F Z. Structural integrity technology for high temperature pressurized equipment [J]. Pressure Vessel Technology, 2005, 22(11): 39–47. doi: 10.3969/j.issn.1001-4837.2005.11.011
[2]	肖飚,杨斌,胡超杰,等. 基于埋入式应变片的纤维缠绕压力容器的健康监测 [J]. 高压物理学报, 2019, 33(4): 043401. doi: 10.11858/gywlxb.20190726 XIAO B, YANG B, HU C J, et al. Structural health monitoring of filament wound pressure vessel by embedded strain gauges [J]. Chinese Journal of High Pressure Physics, 2019, 33(4): 043401. doi: 10.11858/gywlxb.20190726
[3]	FAUPEL J H. Yield and bursting characteristics of heavy-wall cylinders [J]. ASME Journal of Applied Mechanics, 1956, 23: 1031–1064.
[4]	BRABIN T A, CHRISTOPHER T, RAO B N. Bursting pressure of mild steel cylindrical vessels [J]. International Journal of Pressure Vessels and Piping, 2011, 88(2/3): 119–122. doi: 10.1016/j.ijpvp.2011.01.001
[5]	ZHENG C X, LEI S H. Research on bursting pressure formula of mild steel pressure vessel [J]. Journal of Zhejiang University: Science A, 2006, 7: 277–281. doi: 10.1631/jzus.2006.AS0277
[6]	SVENSSON N. Bursting pressure of cylindrical and spherical vessels [J]. ASME Journal of Applied Mechanics, 1958, 25(80): 89–96.
[7]	CHRISTOPHER T, SARMA B, POTTI P, et al. A comparative study on failure pressure estimations of unflawed cylindrical vessels [J]. International Journal of Pressure Vessels and Piping, 2002, 79(1): 53–66. doi: 10.1016/S0308-0161(01)00126-0
[8]	BRABIN T A, CHRISTOPHER T, RAO B N. Investigation on failure behavior of unflawed steel cylindrical pressure vessels using FEA [J]. Multidiscipline Modeling in Materials & Structures, 2009, 5(1): 29–42.
[9]	CHEN Z F, LI X Y, WANG W, et al. Dynamic burst pressure analysis of cylindrical shells based on average shear stress yield criterion [J]. Thin-Walled Structures, 2020, 148(4): 106498.
[10]	DWIVEDI N, KUMAR V, SHRIVASTAVA A, et al. Burst pressure assessment of pressure vessel using finite element analysis: a review [J]. Journal of Pressure Vessel Technology, 2013, 135(4): 044502. doi: 10.1115/1.4023422
[11]	EVANS C J, MILLER T F. Failure prediction of pressure vessels using finite element analysis [J]. Journal of Pressure Vessel Technology, 2015, 137(5): 051206. doi: 10.1115/1.4029192
[12]	HUANG X, CHEN Y, KAI L, et al. Burst strength analysis of casing with geometrical imperfections [J]. Journal of Pressure Vessel Technology, 2007, 129(4): 763–770. doi: 10.1115/1.2767370
[13]	KAMAYA M, SUZUKI T, MESHII T. Failure pressure of straight pipe with wall thinning under internal pressure [J]. International Journal of Pressure Vessels and Piping, 2008, 85(9): 628–634. doi: 10.1016/j.ijpvp.2007.11.005
[14]	YASIN K. Burst pressure determination of vehicle toroidal oval cross-section LPG fuel tanks [J]. Journal of Pressure Vessel Technology, 2011, 133(3): 031202. doi: 10.1115/1.4002863
[15]	MOUSTABCHIR H, ARBAOUI J, AZARI Z, et al. Experimental/numerical investigation of mechanical behaviour of internally pressurized cylindrical shells with external longitudinal and circumferential semi-elliptical defects [J]. Alexandria Engineering Journal, 2018, 57(3): 1339–1347. doi: 10.1016/j.aej.2017.05.022
[16]	张春燕. 承压设备圆柱形筒体壁厚计算方法的选择 [J]. 天然气与石油, 2006, 24(1): 60–63. doi: 10.3969/j.issn.1006-5539.2006.01.017 ZHANG C Y. Selection of calculation method for wall thickness of cylinder body in pressure equipment [J]. Natural Gas and Oil, 2006, 24(1): 60–63. doi: 10.3969/j.issn.1006-5539.2006.01.017
[17]	刘福林. 用加权余量法分析固支圆板和环板在Mises屈服条件下的极限荷载 [J]. 计算力学学报, 2002, 19(3): 369–372. doi: 10.3969/j.issn.1007-4708.2002.03.023 LIU F L. Calculation of limit loads for circular and annular plates by method of weighted residuals [J]. Chinese Journal of Computational Mechanics, 2002, 19(3): 369–372. doi: 10.3969/j.issn.1007-4708.2002.03.023
[18]	姜雅洲. 压力容器爆破压力数值模拟与试验研究 [D]. 杭州: 浙江工业大学, 2015. JIANG Y Z. Numerical simulation and experimental study of burst pressure of pressure vessel [D]. Hangzhou: Zhejiang University of Technology, 2015.
[19]	陆明万, 寿比南, 杨国义. 压力容器分析设计的塑性分析方法 [J]. 压力容器, 2011, 28(1): 33–39. doi: 10.3969/j.issn.1001-4837.2011.01.007 LU M W, SHOU B N, YANG G Y. Plastic analysis methods for design by analysis of pressure vessels [J]. Pressure Vessel Technology, 2011, 28(1): 33–39. doi: 10.3969/j.issn.1001-4837.2011.01.007
[20]	周波. 基于应变强化的容器爆破压力研究[D]. 南京: 南京工业大学, 2010 ZHOU B. Study on the burst pressure of vessels based on strain hardening of material [D]. Nanjing: Nanjing University of Technology, 2010.
[21]	沈鋆. 极限载荷分析法在压力容器分析设计中的应用 [J]. 石油化工设备, 2011, 40(4): 35–38. doi: 10.3969/j.issn.1000-7466.2011.04.010 SHEN J. Limit load analysis application in pressure vessel analytical design [J]. Petro-Chemical Equipment, 2011, 40(4): 35–38. doi: 10.3969/j.issn.1000-7466.2011.04.010
[22]	刘岑,吴森林,杨帆,等. 超高压容器爆破压力计算公式的精度比较 [J]. 压力容器, 2019, 36(5): 43–49. doi: 10.3969/j.issn.1001-4837.2019.05.007 LIU C, WU S L, YANG F, et al. Precision comparison of calculation formulas for ultra-high pressure vessel burst pressure [J]. Pressure Vessel Technology, 2019, 36(5): 43–49. doi: 10.3969/j.issn.1001-4837.2019.05.007
[23]	徐伟, 迟明, 张宗政. 基于ABAQUS的三通接头应力分析和评定 [J]. 装备制造技术, 2019, 1: 71–73. doi: 10.3969/j.issn.1672-545X.2019.01.018 XU W, CHI M, ZHANG Z Z. The stress analysis and assessment of the tee based on ABAQUS [J]. Equipment Manufacturing Technology, 2019, 1: 71–73. doi: 10.3969/j.issn.1672-545X.2019.01.018