多层包扎高压容器承载能力分析

doi:10.3901/JME.2023.14.169

摘要/Abstract

摘要： 在多层包扎式高压容器制造过程中，理想情况下层板的包扎会使筒体产生预应力，但如果制造精度不够，容器层板间可能出现间隙，就无法保证预应力的充分施加。理论推导得到了有无预应力两种情况下受压力作用时多层包扎高压容器筒体中应力的计算表达式以及极限载荷计算式，并进行了数值模拟验证。研究发现，理论和数值模拟结果较为吻合，预应力的施加显著降低内筒体的工作应力水平，并且能有效改善弹性状态下筒体的应力状态，提高筒体弹性承载能力。然而，在全屈服状态，预应力没有提高容器的极限承载能力，容器极限承载能力仅取决于内筒体和层板的厚度与材料性能。另外，理论分析和数值模拟还表明层间间隙的存在也不会影响容器筒体的极限承载能力。

关键词: 多层包扎, 高压容器, 极限载荷, 预应力, 层板间隙

Abstract: In ideal manufacture of multilayer wrapped high pressure vessels, pre-stresses would be induced at the cylinders. But if the manufacture is not so accurate, interlayer clearances would exist and the pre-stresses cannot be guaranteed. In this paper, expressions for the stresses in multilayer wrapped high pressure vessels under pressure loading with or without pre-stresses were derived. Numerical simulations were conducted for verification. It is found that the analytic results are in good agreement with the numerical simulations and both indicate that application of pre-stresses can effectively improve the elastic stress distribution at the cylinder and increase the pressure-bearing capacity of the cylinder in the elastic stage. In the whole yielding stage, however, the limit-pressure of the cylinder only depends the thickness and materials of the inner cylinder and layers and is not affected by the pre-stresses. In addition, both analytic and numerical results also found the limit-pressure of the cylinder is not affected by the interlayer clearances.

Key words: multilayer wrapped, high pressure vessel, limit load, pre-stress, interlayer clearance

中图分类号:

TQ051

王通, 钱才富, 吴志伟, 赵景玉. 多层包扎高压容器承载能力分析[J]. 机械工程学报, 2023, 59(14): 169-178.

WANG Tong, QIAN Caifu, WU Zhiwei, ZHAO Jingyu. Analysis of Load-bearing Capacity of Multi-layer Wrapped High Pressure Vessels[J]. Journal of Mechanical Engineering, 2023, 59(14): 169-178.

参考文献

[1] ASME Boiler and Pressure Vessel Committee. ASME BPVC.I-2022 Rules for construction of pressure vessels[S]. New York:The American Society of Mechanical Engineers,2022.
[2] 郑津洋,马凯,叶盛,等. 我国氢能高压储运设备发展现状及挑战[J]. 压力容器,2022,39(3):1-8. ZHENG Jinyang,MA Kai,YE Sheng,et al. Development status and challenges of hydrogen high pressure storage and transportation equipment in China[J]. Pressure Vessel,2022,39(3):1-8.
[3] 汪志福,李永泰,姚佐权. 多层包扎结构在超临界CO₂高压萃取釜中的应用[J]. 石油化工设计,2019,36(4):47-49,57,7. WANG Zhifu,LI Yongtai,YAO Zuoquan. Application of multilayer wrapping structure in supercritical CO₂ high pressure extraction kettle[J]. Petrochemical Engineering Design,2019,36(4):47-49,57,7.
[4] 李南京. 整体多层包扎式高压容器预应力分布及其均匀化研究[D]. 昆明:昆明理工大学,2009. LI Nanjing. Research on prestress distribution and homogenization of integral multi-layer wrapped high pressure vessel[D]. Kunming:Kunming University of Technology,2009.
[5] ZHEN L,JAING N,LIU S J. Experimental study of integrated multilayer clamping high pressure vessel[J]. Journal of Pressure Vessel Technology,2011,133(6):061206.
[6] ZHANG Q,WANG Z W,TANG C Y,et al. Analytical solution of the thermo-mechanical stresses in a multilayered composite pressure vessel considering the influence of the closed ends[J]. International Journal of Pressure Vessels & Piping,2012,98:102-110.
[7] SOLLUND H A,VEDELD K,HELLESLAND J. Efficient analytical solutions for heated and pressurized multi-layer cylinders[J]. Ocean Engineering,2014,92:285-295.
[8] MAJUMDER T,SARKAR S,MONDAL S C,et al. Optimum design of three layer compound cylinder[J]. IOSR Journal of Mechanical and Civil Engineering,2014,11(3):33-41.
[9] RAHMAN S. Maximizing working pressure of autofrettaged three layer compound cylinders with considering Bauschinger effect and reverse yielding[J]. Meccanica,2018,53(10):2485-2501
[10] LIU H D,WANG W Q. Dynamic stress analysis of multilayered structure with radial gaps of cylindrical pressure vessel under plane strain conditions[J]. Journal of Pressure Vessel Technology,2019,141(4):1-8.
[11] 陆晓燕,金伟娅,高增梁,等. 某多层包扎氮气储罐的应力分析及安全评定[J]. 压力容器,2006(12):28-32,7. LU Xiaoyan,JIN Weiya,GAO Zengliang,et al. Stress analysis and safety assessment of a multi-layer packed nitrogen storage tank[J]. Pressure Vessel,2006(12):28-32,7.
[12] 宋明大,王威强,赵亚凡,等. 多层包扎尿素合成塔应力状况分析[J]. 机械强度,2008(1):93-100. SONG Mingda,WANG Weiqiang,ZHAO Yafan,et al. Stress analysis of multilayer wrapped urea synthesis tower[J]. Mechanical Strength,2008(1):93-100.
[13] KAZEMZADEH A S,AKIŞ T. A study of shrink-fitting for optimal design of multi-layer composite tubes subjected to internal and external pressure[J]. Iranian Journal of Science and Technology,Transactions of Mechanical Engineering,2019,43(1):451-467.
[14] 李政,金先龙,陈向东. 双层储液容器碰撞冲击的计算[J]. 机械工程学报,2008(10):216-221. LI Zheng,JIN Xianlong,CHEN Xiangdong. Calculation of impact of double-layer liquid storage containers[J]. Journal of Mechanical Engineering,2008(10):216-221
[15] YE S,ZHENG J Y,YU T,et al. Light weight design of multi-layered steel vessels for high-pressure hydrogen storage[C]//ASME 2019 Pressure Vessels & Piping Conference.San Antonio,Texas,United states:ASME,2019.
[16] YU T,GUO W C,MIAO C J,et al. Study on inserted curved surface coupling phased array ultrasonic inspection of multi-layered steel vessel for high-pressure hydrogen storage[J]. International Journal of Hydrogen Energy,2021,6:18433-18444.
[17] 任德亮,王云程,陈恺,等. 多层包扎式筒体焊接缺陷区的裂纹分析[J]. 机械工程学报,2000(4):109-112. REN Deliang,WANG Yuncheng,Chen Kai,et al. Crack analysis of welding defect zone of multi-layer wrapped cylinder[J]. Journal of Mechanical Engineering,2000(4):109-112.
[18] SIM L C,YEO W H,PURBOLAKSONO J,et al. Analytical solution of thermo-mechanical stresses of multi-layered hollow spherical pressure vessel[J]. International Journal of Pressure Vessels and Piping,2021,191(1):104355.
[19] CHEN G,DENG Y. Load bearing capacity and safety analysis for strain-hardening austenitic stainless steel pressure vessels[J]. Chinese Journal of Mechanical Engineering,2011,24(2):179-186.
[20] 王欣荣. 考虑工艺因素的复合材料缠绕压力容器的承载能力分析[D]. 大连:大连理工大学,2011. WANG Xinrong. Analysis of bearing capacity of composite wound pressure vessel considering process factors[D]. Dalian:Dalian University of Technology,2011.
[21] KRASINSKI M,STODULSKI M,TROJNACKI A. Stress modification in multi-layer walls of expanded pressure vessels[J]. Key Engineering Materials,2013,2198(542):81-95.
[22] MOHAN A,JAISINGH S J,PRISCILLA C. Effect of autofrettage on the ultimate behavior of thick cylindrical pressure vessels[J]. International Journal of Pressure Vessels and Piping,2021,194:104546.
[23] 朱建伟,毛剑峰,李曰兵,等. 临界热通量下反应堆压力容器的极限承载能力研究[J]. 机械工程学报,2017,53(2):45-52. ZHU Jianwei,MAO Jianfeng,LI Yuebing,et al. Study on the ultimate bearing capacity of reactor pressure vessel under critical heat flux[J]. Journal of Mechanical Engineering,2017,53(2):45-52.
[24] BLACHUT J,IFAYEFUNMI O. Burst pressures for toriconical shells:Experimental and numerical approach[J]. Journal of Pressure Vessel Technology,2017,139(5):051203.
[25] 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 Yazhou. Numerical simulation and experimental study on bursting pressure of pressure vessel[D]. Hangzhou:Zhejiang University of Technology,2015.
[26] BHETIWAL A,KASHIKAR S,MARKALE H,et al. Effect of yield criterion on stress distribution and maximum safe pressure for an autofrettaged gun barrel[J]. Defence Science Journal,2017,67(5):504-509.
[27] 郑津洋,桑芝富. 过程设备设计[M]. 5版. 北京:化学工业出版社,2021. ZHENG Jinyang,SANG Zhifu. Process equipment design[M]. 5th ed. Beijing:Chemical Industry Press,2021.
[28] PIMSHTEIN P G. Strength of multilayer high pressure vessels[J]. Chemical and Petroleum Engineering,1968(7):574-578.
[29] LI W C,LI H F,SHI H,et al. A design method for half-pipe jacketed vessels based on numerical limit-load analysis[J]. Asia-Pacific Journal of Chemical Engineering,2022,17(2):012039.
[30] Mourad H M,Younan M. Limit-load analysis of pipe bends under out-of-plane moment loading and internal pressure[J]. Journal of Pressure Vessel Technology,2002,124(1):32-37.
[31] 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. LU Mingwan,SHOU Binan,YANG Guoyi. Plastic analysis method of pressure vessel analysis and design[J]. Pressure Vessel,2011,28(1):33-39.